Boiling Heat Transfer during Flow in Vertical Mini-Channels with a Modiﬁed Heated Surface

: The process with change of phase during ﬂow in mini-channels plays a signiﬁcant role in many industrial applications, such as microelectronics. Furthermore, methods for heat transfer intensiﬁcation during ﬂow in channels of small cross-section are still being sought. In this work, studies of the effect of using a modiﬁed heated surface on intensiﬁcation boiling heat transfer in rectangular mini-channels during upward and downward ﬂow are performed. The test section of a group of seven parallel mini-channels 1 mm deep was investigated during the subcooled and saturated ﬂow boiling of FC-72. The temperature of the outer heated wall surface was measured using an infrared camera. During the experiments, two-phase ﬂow structures were captured with a quick camera. Local heat transfer coefﬁcients at the contact surface between the working ﬂuid and the heated surface were determined with the use of a one-dimensional calculation method. To present the results, local temperature measurements and heat transfer coefﬁcients, boiling curves and two-phase ﬂow patterns are shown and analyzed. The results concerning two directions of vertical ﬂow along mini-channels are discussed. Several modiﬁed heated surfaces and one smooth were tested for comparison. The main objective was to ﬁnd out how the modiﬁed surface of the heated wall can intensify boiling heat transfer with upward and downward refrigerant ﬂow in mini-channels of rectangular cross-section.


Introduction
The dimensions of the channel are of great importance in the process of flow boiling heat transfer.Depending on the size of the channel cross-section, different physical phenomena take place during flow.In the literature, there are many types of channel classifications.Shah presented one of the main classifications of channels [1], which includes two main groups: mini-channels (d h less than 6 mm) and conventional channels (d h greater than 6 mm).
Kandlikar [2] proposed a new classification of channels.According to this classification, the channels were divided into three groups, taking into account the hydraulic diameter, that is: conventional (d h > 3 mm), mini-(200 µm < d h ≤ 3 mm) and micro-(10 µm < d h ≤ 200 µm) channels.
For more than a dozen years, the impact of experimental parameters (geometrical, thermal-flow, pressure) on boiling heat transfer has been widely discussed in the literature.Many aspects of this issue are still not clear, and the results related to modified walls are still studied.
The purpose of the study described in Ref. [3] was to research subcooled flow boiling heat transfer water in a mini-channel with dimensions of 45 mm × 2 mm × 2 mm and graphene nanostructured surfaces.The two superhydrophilic surfaces, named GNPs/SE (I) and GNPs/SE (II), at low mass flux, showed maximum heat flux enhancements of 24.5% and 59.5%, compared to the uncoated surface.Furthermore, the enhanced coatings helped achieve higher values of the heat transfer coefficient, 20.1% and 64.9%, compared to the plain surface.The authors stated that using superhydrophilic GNP coatings has an impact on effective film boiling heat transfer and the fast water permeation effect.According to the authors, during development of boiling, the coatings caused bubble detachment and blocked dry spot formation.One of the tested GNPs coatings, i.e., the CE (I) surface, showed more nucleation sites and bubbles ready to detach compared to that of the uncoated surface.It was also underlined that, for the mini-channels with both tested coatings, with a decrease in liquid subcooling, an increasing heat flux removal rate was obtained.
The authors of Ref. [4] focused on flow boiling heat transfer in a rectangular channel vertically positioned, heated from one side and the other with modified surface by using a femtosecond laser texture.The laser was used to texture the surface to change its wettability.It was noticed that the hydrophobic surface delayed the nucleate boiling initiation, in comparison to that of the hydrophilic surface, whereas the boiling curves were shifted to higher wall superheat.It was recognized that the use of the hydrophobic surface in the research caused lower critical heat flux (20%).Moreover, less sensitivity to changes in subcooling was indicated for such a surface.
In Ref. [5], flow boiling heat transfer of carbon dioxide was investigated in macro-and micro-scale channels with pure CO 2 and CO 2 /lubricant mixtures.The authors discussed the experimental results for smooth and enhanced tubes with the use of known correlations from the literature.Under the same operating conditions, the two-phase heat transfer coefficients in the micro-fin tubes were significantly higher (up to +500%) compared to smooth tubes.The authors noticed that the micro-fin structure generated the liquid phase, increasing turbulence.For the enhanced tubes, good agreement was obtained only with the Mehendale correlation (2018), proposed for numerous fluids.
The studies discussed in Ref. [6] refer to water flow boiling heat transfer in microchannels using several surfaces: smooth, micro-fin and micro-cavity.In that study, the authors used the numerical method to examine flow boiling on tested micro-structured surfaces.Based on the results, it was noticed that compared to a smooth surface with an angle of 60 • : (i) the micro-fin surface had lower thermal resistance (36.64%) and a higher heat transfer coefficient (61.92%); (ii) the micro-cavity surface had lower thermal resistance (13.55%) and a higher heat transfer coefficient (17.16%).Furthermore, it was noticed that the heat transfer performance was enhanced for the smooth and micro-cavity surfaces, when the dryout area and the wettability of the modified heating surface was minimized.
In Ref. [7], the flow boiling heat transfer of graphene nanoplatelets nanosuspension was examined.A small copper disk was used in the research as a test surface.It was noticed that the presence of graphene oxide nanoplatelets (GNPs) caused a decrease in the flow boiling heat transfer process over 1000 min of continuous operation (after the critical heat flux point).The authors' point of view was that it was mainly due to the heat accumulation on the surface caused by the existence of graphene oxide on the test surface.Furthermore, heat transfer increased with increasing heat flux and flow rate.It was stated that the increase in heat transfer occurred because of the intensification of the Brownian motion.Moreover, the thermophoresis effect in the boiling micro-layer close to the surface was indicated.
R134a flow boiling heat transfer studies on a nanocomposite coating (graphene-Cu) on a copper substrate were presented in Ref. [8].The graphene-Cu nanocomposite powders were made using a mechanical alloying technique with the use of ball mills (0, 10, 20 and 30 vol%).In the test section, a rectangular channel 60 mm wide, 3 mm high and 460 mm long was produced.The dimensions of the graphene-Cu composite test plates were 10 mm × 10 mm.In studies with a higher graphene concentration, the heat transfer coefficient and higher heat flux were obtained.Additionally, during an increase in mass flux, an increase in flow boiling heat transfer was observed.
The authors of Ref. [9] referred to studies on deionized water flow boiling heat transfer in a high-aspect-ratio groove-wall micro-channel of dimensions: 200 µm height, 80 µm width and 10 mm length.Furthermore, the results were discussed with the plain side walls.The studies were carried out for two inlet subcoolings (40 • C and 70 • C), three values of mass flux (446, 630 and 815 kg/(m 2 •s)) and heat fluxes in the range of 3.8-139.5W/cm 2 .The groove-wall micro-channel in the two-phase flow region caused an earlier boiling initiation, a higher heat transfer coefficient and a lower pressure drop in comparison to the plain-wall one.Compared to the plain-wall micro-channel, when the results obtained for all set mass fluxes and inlet subcoolings were analyzed, the heat transfer coefficient for the groove-wall micro-channel enhancements was higher, from 25.0% to 56.7%.
Ref. [10] dealt with deionized water flow boiling in a groove-wall micro-channel.The main experimental parameters were as follows: mass flux in the range of 446-963 kg/(m 2 •s) and heat flux in the range of 36.3-502.8W/cm 2 .The micro-channels had the following dimensions: height of 200 µm; groove spacing ratios of 2, 5 and 8; and groove depths of 15, 30 and 45 µm.The silicon-based channel aspect ratios were 1, 2.5 and 4. The results for enhanced micro-channels were compared with those gained for plain-wall micro-channels.The average heat transfer coefficient was found to change moderately with different spacing ratios or groove depths, and considerably with the channel aspect ratio.It was noticed that the heat transfer coefficient increased and then subsequently decreased for the groove spacing ratio or the groove depth increase.For the groove-wall channel, the best heat transfer enhancement was obtained at an aspect ratio of 2.5.The authors stated that the number of grooves and depths has a small impact on pressure drops.
Studies of flow boiling heat transfer deionized water on wettability-patterned surfaces.were presented in Ref. [11].The test surfaces were characterized by hydrophobic-patterned arrays in the shape of a circle, triangle and inverted triangle on a SiO 2 -hydrophilic substrate.The experimental parameters were: mass flow rate of 0.51 kg/min, a Reynolds number equaling 6000 and inter-spacing between neighboring nucleation sites of 0.75 mm or 1 mm.Compared to a homogeneous Si-surface, the surface with hydrophobic-patterned arrays indicated an improvement in flow boiling heat transfer for the critical heat flux (40-43%) and the heat transfer coefficient (35-163%).The triangle hydrophobic-patterned array surface caused a higher heat dispassion capacity of about 47% and 16% compared to the surfaces with hydrophobic patterns with circle and inverted-triangle shapes, respectively.At the high heat flux region, the hydrophobic patterns caused the flow boiling heat transfer processes.
In Ref. [12], research was conducted on subcooled flow boiling water with hybrid submillimeter/micro/nanostructured surfaces dedicated to plasma-facing components (PFCs) in nuclear fusion engineering.According to the authors, such surfaces help to achieve subcooled flow boiling enhancement and low flow resistance.It was stated that compared to the smooth surface at the same wall superheat, while multilayered hybrid surfaces were applied, the heat flux was 2~3-fold higher, and the critical heat fluxes increased by 80-200%.Furthermore, it was noticed that the maximum pressure drop increased by less than 12%.For the manipulated surfaces, the heat transfer coefficients were at least twice as high compared to the smooth surface.
At the Kielce University of Technology in Poland, for several dozen years, experimental and/or theoretical studies of flow boiling heat transfer in mini-channels were performed.In the experiments, the test sections with smooth and enhanced surfaces [13][14][15][16][17][18] were used while various cooling liquids were working fluids and the changeable spatial orientation of the test sections was applied, as described, e.g., in Refs.[13,19].Furthermore, pool boiling heat transfer research using modified heated surfaces with fins, as with open microchannels, was the subject of numerous publications.Examples of works presented with the results of this topic can be found in Refs.[20][21][22][23].
According to the short literature review presented, it is clear that results concerning boiling heat transfer during cooling fluid flow in mini-channels are inconsistent and even contradictory.The effects of direction of flow and channel spatial orientation have not yet been thoroughly recognized.The results cited in the literature usually cover only a few working fluids.There is often a lack of information on the interconnection between the two-phase flow patterns with temperature distributions across the heater surfaces and the fluid temperature distribution in mini-gaps.New investigations into the impacts of the use of enhanced heated surfaces at fixed thermal and flow parameters in the entire range of nucleate boiling are still needed.
This work presents the results of a study on subcooled and saturated boiling heat transfer during Fluorinert FC-72 flow in seven parallel mini-channels of 1 mm depth, resistively heated by a common metal wall.The results of steady-state experiments with a modified heated wall surface produced in various processes: electro-machining texturing, laser surface texturing and iron powder soldering, and using emery papers of different roughness (P-36, P-80, P-220, P-389), are discussed.The purpose of this paper is mainly to recognize the influence of the modified heated surface of the channel wall and the orientation of the mini-channel (upward and downward flow) on intensifying heat transfer processes during flow in a mini-channel.

The Experimental Setup
The main systems of the experimental setup concerning research flow boiling heat transfer in the mini-channel test section are presented in Figure 1.
According to the short literature review presented, it is clear that results concerning boiling heat transfer during cooling fluid flow in mini-channels are inconsistent and even contradictory.The effects of direction of flow and channel spatial orientation have not yet been thoroughly recognized.The results cited in the literature usually cover only a few working fluids.There is often a lack of information on the interconnection between the two-phase flow patterns with temperature distributions across the heater surfaces and the fluid temperature distribution in mini-gaps.New investigations into the impacts of the use of enhanced heated surfaces at fixed thermal and flow parameters in the entire range of nucleate boiling are still needed.
This work presents the results of a study on subcooled and saturated boiling heat transfer during Fluorinert FC-72 flow in seven parallel mini-channels of 1 mm depth, resistively heated by a common metal wall.The results of steady-state experiments with a modified heated wall surface produced in various processes: electro-machining texturing, laser surface texturing and iron powder soldering, and using emery papers of different roughness (P-36, P-80, P-220, P-389), are discussed.The purpose of this paper is mainly to recognize the influence of the modified heated surface of the channel wall and the orientation of the mini-channel (upward and downward flow) on intensifying heat transfer processes during flow in a mini-channel.

The Experimental Setup
The main systems of the experimental setup concerning research flow boiling heat transfer in the mini-channel test section are presented in Figure 1.
The experimental setup was composed of the following systems (Figure 1): the main loop with working FC-72 fluid; the data and image acquisition system with the lighting system; and the power supply and control system.The essential component of the main loop is a test section with a group of rectangular mini-channels.The test section was vertically oriented, with upward and downward flows set (1).The other elements of the main loop were: a gear pump (2), a heat exchanger (3), a filter (4), a Proline Promass A 100 Coriolis mass flowmeter (5) and an air separator (6).The data and image acquisition system Energies 2022, 15, 7050 5 of 26 included the following devices: an infrared camera A655SC FLIR with accuracy ±2 • C or ±2% at measuring temperature range (7), a high-speed video camera SP-50 0 0M-CXP2 (8), a PC computer (9) and two data acquisition stations (DaqLab 2005 and MCC SC-1608G) (10).A lighting system consisting of LEDs (11) was used to illuminate the flow of the working fluid along the mini-channels.The power supply and control system consisted of: a power supply (12), an ammeter (13) and a voltmeter (14).K-type thermocouples (15) and PMP71 Cerabar S pressure meters (16) were located at the inlet and outlet of the mini-channels.
The schematic diagrams of the test section are shown in Figure 2.
The experimental setup was composed of the following systems (Figure 1): the ma loop with working FC-72 fluid; the data and image acquisition system with the lighti system; and the power supply and control system.The essential component of the ma loop is a test section with a group of rectangular mini-channels.The test section was v tically oriented, with upward and downward flows set (1).The other elements of the ma loop were: a gear pump (2), a heat exchanger (3), a filter (4), a Proline Promass A 1 Coriolis mass flowmeter (5) and an air separator (6).The data and image acquisition sy tem included the following devices: an infrared camera A655SC FLIR with accuracy ±2 or ±2% at measuring temperature range (7), a high-speed video camera SP-50 0 0M-CX (8), a PC computer (9) and two data acquisition stations (DaqLab 2005 and MCC S 1608G) (10).A lighting system consisting of LEDs (11) was used to illuminate the flow the working fluid along the mini-channels.The power supply and control system co sisted of: a power supply (12), an ammeter (13) and a voltmeter (14).K-type thermoco ples (15) and PMP71 Cerabar S pressure meters (16) were located at the inlet and outlet the mini-channels.
The schematic diagrams of the test section are shown in Figure 2. In the test section (Figure 2a,b), there were seven parallel mini-channels (4) compr ing a common heated plate about 0.10 mm thick (2) with a modified surface contacti the working fluid.Other main components of the test section were: a top cover with t system of channels to prevent deformation of the heated plate (1), a body (3) and a gla plate (5).Each mini-channel was 1 mm deep and 6 mm wide, while their length, cor sponding to the recorded temperature field, was 32 mm.The heated plate was made Haynes-230 alloy.The thermograms on its outer side were recorded by an infrared ca era.This smooth plate surface was coated with black paint of known emissivity (abo 0.97).Example thermograms of experimental series are illustrated in Figure 2c.The flo In the test section (Figure 2a,b), there were seven parallel mini-channels (4) comprising a common heated plate about 0.10 mm thick (2) with a modified surface contacting the working fluid.Other main components of the test section were: a top cover with the system of channels to prevent deformation of the heated plate (1), a body (3) and a glass plate (5).Each mini-channel was 1 mm deep and 6 mm wide, while their length, corresponding to the recorded temperature field, was 32 mm.The heated plate was made of Haynes-230 alloy.The thermograms on its outer side were recorded by an infrared camera.This smooth plate surface was coated with black paint of known emissivity (about 0.97).Example thermograms of experimental series are illustrated in Figure 2c.The flow pattern was observed through the glass plate from the modified heated plate surface being in contact with the fluid.During the experimental sets, the vertical test section was investigated, with upward flow of the fluid (position named 90 • ) or downward flow (position named 270 • ).
The ranges of experimental thermal and flow parameters are listed in Table 1.

Characteristics of the Modified Heated Plate Surface
The main aim of this work is to investigate the influence of the use of modified heated surfaces on heat transfer intensification during flow boiling in mini-channels.Therefore, during the experimental sets, the heated plate was replaced.In specific experimental sets, the plate surface in contact with the fluid in the mini-channels was modified in four processes: electro-machining texturing [14,15], laser surface texturing [15], by iron powder soldering to the base plate (resulting in a porous structure forming) [14,16,17] or by using emery papers of four varying roughnesses (P-36, P-80, P-220, P-389).Photographs, 3D views and roughness profiles of applied heated plate surfaces, including smooth, are presented in Figures 3-5, respectively.According to the data presented in Figures 3-5 and Table 2, it can be seen that the highest depth and height were achieved on the modified surface for the porous structure produced by the iron powder soldering to the base plate (max.depth of 39.98 µm, max.height 46.10 µm, Figure 4) while the roughness profile and the surface roughness parameters prove the following roughness values: Ra = 10.86 µm, Sa = 15.59 µm (Table 2).Furthermore, higher values were obtained for the electro-machining textured surface (max.depth 1.82 µm, max.height 0.743 µm, Figure 4), Ra = 0.0747 µm, Sa = 1.057 µm (Table 2) and produced using P-36 emery paper (max.depth 1.90 µm, max.height 1.459 µm, Figure 0.334 µm, max.height 0.361 µm, Figure 4), Ra = 0.0426 µm, Sa = 0.5581 µm (Table 2) and produced with P-389 emery paper (max.depth 0.632 µm, max.height 0.255 µm, Figure 5), Ra = 0.0389 µm, Sa = 0.2109 µm (Table 2).

Calculations
The central mini-channel of the test section was taken into account as a model channel in further considerations.The heat transfer coefficient between the heated plate and the flowing fluid was calculated using the one-dimensional mathematical method.In this The study of the roughness parameters of the heated plate surfaces was performed at the Kielce University of Technology.Analyses of geometric structures of the tested surfaces were conducted due to the Leica DCM8 confocal microscope operating in the interferometry mode (Wetzlar, Germany).The Leica DCM8 is a combined confocal microscopy instrument with high lateral resolution and interferometry to reach subnanometer vertical resolution.The basic parameters of the instrument are as follows: vertical resolution up to 0.1 nm with HD interferometry, four LEDs for RGB HD true-color imaging, fast and reliable digital HD confocal scanning, objectives from 1.25× up to 150× in confocal, brightfield and darkfield mode, from 10× up to 50× in interferometry mode, accuracy with open loop < 3% relative error and with closed loop < 20 nm error [24].In Table 2, the surface and area roughness parameters of these plate surfaces are listed.According to the data presented in Figure 3, Figure 4, Figure 5 and Table 2, it can be seen that the highest depth and height were achieved on the modified surface for the porous structure produced by the iron powder soldering to the base plate (max.depth of 39.98 µm, max.height 46.10 µm, Figure 4) while the roughness profile and the surface roughness parameters prove the following roughness values: Ra = 10.86 µm, Sa = 15.59 µm (Table 2).Furthermore, higher values were obtained for the electro-machining textured surface (max.depth 1.82 µm, max.height 0.743 µm, Figure 4), Ra = 0.0747 µm, Sa = 1.057 µm (Table 2) and produced using P-36 emery paper (max.depth 1.90 µm, max.height 1.459 µm, Figure 5), Ra = 0.3828 µm, Sa = 0.7099 µm (Table 2).Definitely the smallest surface development and the smallest depth and height were achieved for laser surface texturing (max.depth 0.334 µm, max.height 0.361 µm, Figure 4), Ra = 0.0426 µm, Sa = 0.5581 µm (Table 2) and produced with P-389 emery paper (max.depth 0.632 µm, max.height 0.255 µm, Figure 5), Ra = 0.0389 µm, Sa = 0.2109 µm (Table 2).

Calculations
The central mini-channel of the test section was taken into account as a model channel in further considerations.The heat transfer coefficient between the heated plate and the flowing fluid was calculated using the one-dimensional mathematical method.In this method, the assumption of the only heat transfer direction (x) consistent with the depth of the thickness of the mini-channel and the heated plate was considered.
Local heat transfer coefficients α(x) at the subcooled and saturated boiling regions were determined from the following dependence: where: x is the coordinate consistent with the direction along the flow; q w is the heat flux transferred to the fluid in the mini-channel while q w = I•∆U A , similar to [14], I-current supplied to the heated plate (measured), ∆U-the voltage drop across the heated plate (measured), A-the surface area of the heated plate and q loss means heat loss to the surroundings; T IRT is the local temperature of the heated plate measured on its outer surface using an infrared camera, while δ P is the thickness of the heated plate; T f (x) means local fluid temperature determined: (i) in the subcooled boiling from the assumption of the linear distribution of the fluid temperature along the mini-channel (fluid temperature measurements at the inlet and the outlet) or (ii) in the saturated boiling temperature, calculated on the basis of the liquid saturated temperature dependent on pressure (fluid pressure measurements at the inlet and the outlet); λ P is the coefficient of thermal conductivity of the heated plate (Haynes-230), according to its manufacturer.
The heat loss to the surroundings q loss usually amounts to a few percent, for example, in [14] it was equal to 1.3% of the imposed heat flux.The heat loss to the surrounding values was determined according to the dependence where: a s -the heat transfer coefficient at the interface between the heated plate and the surroundings and T a -ambient temperature.Maximum values of the heat loss to the surroundings calculated from Equation ( 2) are listed in Table 3.The average value of the maximum errors of heat loss to the surroundings calculated on the basis of experiments with fluid upward flow equals 1.24%.For a downward flow, the value of 1.17% was obtained.

The Mean Relative Error Determination
The mean relative error σ α of the heat transfer coefficient was calculated from the following formula: The components of the mean relative error of the heat transfer coefficient assumed in the calculation are shown in Table 4.
The lowest value of the heat flux supplied to the heated plate was selected in the subcooled boiling region (q w = 32.5 kW/m 2 ) and in the saturated region (q w = 54.2 kW/m 2 ) for the mass flux 566 kg/(m 2 s) to determine the absolute error of the heat flux ∆q w .The procedure for determining absolute and relative errors of the heat flux and assumptions was made similarly to that in [13].The absolute error of the heat flux and relative errors of the heat transfer coefficient at the subcooled and saturated boiling regions and for upward and downward flow are listed in Table 5.When analyzing the results, it was noticed that the absolute error of the heat flux was at most a few percent, in the range 0.71-3.94%.In the case of the mean relative error of the heat transfer coefficient, the results achieved for the subcooled boiling region were much lower than those obtained in the saturated boiling region, as mentioned in earlier works [13,25].The relative errors of the heat transfer coefficient were in the range of 4.66-5.73% in the subcooled boiling region and 9.75-31.4% in the saturated boiling region.The mean relative error of the coefficient for the subcooled boiling region was σ α = 5.3% and for the saturated boiling region σ α = 17.7%.

Experiments, Results and Discussion
Before target experiments, degasification of the working fluid in the circulating loop was provided, and the mass flow rate, liquid pressure and temperature at the mini-channels inlet were adjusted.Laminar flow of the working fluid occurred in the mini-channels.After stabilizing these experimental parameters, the current was supplied to the heated plate.
When the boiling process starts, the subcooled boiling region occurs.It is worth underlining that in this region the fluid is subcooled in the core of the flow and in the vicinity of the heated plate it is superheated.Afterwards, with increases in the imposed heat flux, in the temperature of the heated wall and fluid, the temperature of the heated wall and fluid subsequently increased, and the saturated boiling region took place (it is assumed that when the difference between temperatures of the heated wall and the saturation temperature is higher than zero the saturated boiling region occurs).
The series of experiments were conducted in the steady state under similar thermal and flow conditions.The main characteristics of the selected experiments are shown in Figure 6.As is clearly shown, in addition to the use of various types of heated plate surface, two vertical channel positions were applied, two values of mass flux were set and six values of the heat flux were chosen for analysis.
lower than those obtained in the saturated boiling region, as mentioned in earlier works [13,25].The relative errors of the heat transfer coefficient were in the range of 4.66-5.73% in the subcooled boiling region and 9.75-31.4% in the saturated boiling region.The mean relative error of the coefficient for the subcooled boiling region was σα = 5.3% and for the saturated boiling region σα = 17.7%.

Experiments, Results and Discussion
Before target experiments, degasification of the working fluid in the circulating loop was provided, and the mass flow rate, liquid pressure and temperature at the mini-channels inlet were adjusted.Laminar flow of the working fluid occurred in the mini-channels.After stabilizing these experimental parameters, the current was supplied to the heated plate.
When the boiling process starts, the subcooled boiling region occurs.It is worth underlining that in this region the fluid is subcooled in the core of the flow and in the vicinity of the heated plate it is superheated.Afterwards, with increases in the imposed heat flux, in the temperature of the heated wall and fluid, the temperature of the heated wall and fluid subsequently increased, and the saturated boiling region took place (it is assumed that when the difference between temperatures of the heated wall and the saturation temperature is higher than zero the saturated boiling region occurs).
The series of experiments were conducted in the steady state under similar thermal and flow conditions.The main characteristics of the selected experiments are shown in Figure 6.As is clearly shown, in addition to the use of various types of heated plate surface, two vertical channel positions were applied, two values of mass flux were set and six values of the heat flux were chosen for analysis.It should be added that the temperature of the heated plate, measured on the outer surface plate due to the infrared camera, was based on the distribution of recorded color on the examined surface.The data used in the calculation were collected on the smooth surface of the heated plate side, which was covered with black paint (of known emissivity of 0.97), along the central line in the axially symmetric part of the central mini-channel.It should be added that the temperature of the heated plate, measured on the outer surface plate due to the infrared camera, was based on the distribution of recorded color on the examined surface.The data used in the calculation were collected on the smooth surface of the heated plate side, which was covered with black paint (of known emissivity of 0.97), along the central line in the axially symmetric part of the central mini-channel.
In general, the results are shown in Figures 7-16.In parts 'a' and 'c' of Figures 7-12, the data obtained on the basis of experiments with enhanced surfaces received with the use of emery paper characterized by four sizes of grit (P-36, P-80, P-220 and P-389) are revealed.Moreover, in parts 'b' and 'd' of these figures and Figures 14a,b and 15a,b, the results are illustrated for a smooth surface of the heated plate and modified in various processes, that is, produced by electro-machining texturing, laser surface texturing, surface formed with the use of emery paper (selected for the term of achieving high values of the heat transfer coefficient, based on the results shown in the previous graphs) and porous surface produced by soldering iron powder to the base plate, to compare all the results.In Figures 13, 14c,d and 15c,d, data for two enhanced surfaces (produced by electro-machining and laser texturing) and one smooth surface are presented.
In detail, the results are presented in the following forms: • The temperature of the heated plate measured by an infrared as a function of the distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90 The results of the temperatures and heat transfer coefficients-presented in Tables 6 and 7, for the subcooled and saturated boiling regions, respectively.
Energies 2022, 15, x FOR PEER REVIEW 14 of   According to the data presented in Figure 7, it can be seen that for the subcooled boiling region and the lower heat flux, while taking into account the modified surfaces due to the use of emery paper, for both vertical positions of the test section, the highest values of the heated plate temperature were achieved for P-36 and P-220 (Figure 7a,c), but the lowest was noticed for P-80.Compared to the data collected for all selected surfaces, it is obvious that the porous surface gave the highest temperature, while for the smooth surface the lowest temperature occurred for the upward flow (Figure 7b).Furthermore, in the subcooled boiling region, at a higher value of heat flux, it can also be observed that the highest heated plate temperature was achieved for P-220, of all surfaces produced using emery papers (Figure 8a,c).Taking into account all surfaces examined, the use of the porous one in the experiments caused the highest temperature of the heated wall (Figure 8b,d).The observations concerning the lowest temperatures of the heated wall in relation to the roughness of the heated wall are not unequivocal.More detailed comments are provided in Table 6.According to the data presented in Figure 7, it can be seen that for the subcooled boiling region and the lower heat flux, while taking into account the modified surfaces due to the use of emery paper, for both vertical positions of the test section, the highest values of the heated plate temperature were achieved for P-36 and P-220 (Figure 7a,c), but the lowest was noticed for P-80.Compared to the data collected for all selected surfaces, it is obvious that the porous surface gave the highest temperature, while for the smooth surface the lowest temperature occurred for the upward flow (Figure 7b).Furthermore, in the subcooled boiling region, at a higher value of heat flux, it can also be observed that the highest heated plate temperature was achieved for P-220, of all surfaces produced using emery papers (Figure 8a,c).Taking into account all surfaces examined, the use of the porous one in the experiments caused the highest temperature of the heated wall (Figure 8b,d).The observations concerning the lowest temperatures of the heated wall in relation to the roughness of the heated wall are not unequivocal.More detailed comments are provided in Table 6.When analyzing the data for saturated boiling shown in Figure 9, taking into account the modified heated surfaces obtained by using emery papers, it can be indicated that the highest values of the heated plate temperature for both positions of the test section were achieved for P-220 (Figure 9a,c), but only regarding upward flow: for P-36 (Figure 9a).Furthermore, when the porous surface was applied, the highest temperatures were recorded (Figure 9b,d).These findings are similar to those for the subcooled boiling region.The observations are supplemented with the note that the lowest temperatures were gained for laser surface texturing, for downward flow, in comparison to the results collected for all selected surfaces in the saturated boiling region.More comments can be found in Table 7.
It could be emphasized that the main observations regarding the heated wall temperature and the heat transfer coefficient are listed in Tables 6 and 7: in the subcooled boiling region (Table 6) and in the saturated boiling region (Table 7).
The local heat transfer coefficients were calculated according to Equation (1).Separate coefficient plots were for the subcooled boiling region (Figures 10 and 11) and the saturated boiling region (Figures 12 and 13d-f).heat flux q w = 54.2 kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.
When analyzing the data for saturated boiling shown in Figure 9, taking into account the modified heated surfaces obtained by using emery papers, it can be indicated that the highest values of the heated plate temperature for both positions of the test section were achieved for P-220 (Figure 9a,c), but only regarding upward flow: for P-36 (Figure 9a).Furthermore, when the porous surface was applied, the highest temperatures were recorded (Figure 9b,d).These findings are similar to those for the subcooled boiling region.The observations are supplemented with the note that the lowest temperatures were gained for laser surface texturing, for downward flow, in comparison to the results collected for all selected surfaces in the saturated boiling region.More comments can be found in Table 7.
It could be emphasized that the main observations regarding the heated wall temperature and the heat transfer coefficient are listed in Tables 6 and 7: in the subcooled boiling region (Table 6) and in the saturated boiling region (Table 7).When analyzing the dependences shown in Figure 10, presented as an example for the subcooled boiling region with the imposed heat flux of qw = 32.5 kW/m 2 , it can be seen that the distribution of the heat transfer coefficient with trends monotonically or decreasing in function differs in the inlet and outlet parts of the channel for various surfaces and channel orientations.Furthermore, the values of the heat transfer coefficient change to a small extent from the range 0.6-1.2kW/(m 2 K).A more detailed remark, according to Figure 10a,b, is that for the mini-channel orientation of 90°, for all the roughnesses of the plate surface, the highest coefficient was reached for the surface produced by the P-80 emery paper.Furthermore, the highest heat transfer coefficient was achieved for 270° orientation, while the enhanced surface produced by the electro-machining texturing was applied in experiments (see Figure 10d).Other comments on the values of the heat transfer coefficient depending on channel orientation and type of surface roughness are revealed in Table 7.  c,d); the subcooled boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux q w = 32.5 kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.
The local heat transfer coefficients were calculated according to Equation (1).Separate coefficient plots were for the subcooled boiling region (Figures 10 and 11) and the saturated boiling region (Figures 12 and 13d-f).
When analyzing the dependences shown in Figure 10, presented as an example for the subcooled boiling region with the imposed heat flux of q w = 32.5 kW/m 2 , it can be seen that the distribution of the heat transfer coefficient with trends monotonically or decreasing in function differs in the inlet and outlet parts of the channel for various surfaces and channel orientations.Furthermore, the values of the heat transfer coefficient change to a small extent from the range 0.6-1.2kW/(m 2 K).A more detailed remark, according to Figure 10a,b, is that for the mini-channel orientation of 90 • , for all the roughnesses of the plate surface, the highest coefficient was reached for the surface produced by the P-80 emery paper.Furthermore, the highest heat transfer coefficient was achieved for 270 • orientation, while the enhanced surface produced by the electro-machining texturing was applied in experiments (see Figure 10d).Other comments on the values of the heat transfer coefficient depending on channel orientation and type of surface roughness are revealed in Table 7. 2 kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.
The results shown in Figure 11 were also obtained in the subcooled boiling region, but for a higher heat flux compared to the data presented in Figure 10.In general, the heat transfer coefficient increases with increasing distance from the mini-channel inlet.The local heat transfer coefficients were significantly higher than those determined for qw = 32.5 kW/m 2 and were in the range of 0.9 to 1.9 kW/(m 2 K) for all surfaces tested, except the porous one (see Figure 11b,d).The use of a porous surface produced by soldering iron powder in experiments caused the heat transfer coefficient to reach the lowest values compared to other surfaces.Furthermore, it can be observed that the heat transfer coefficient calculated from the data from the experiments with the use of P-220 emery paper in the production of enhanced heated surfaces achieved mostly the highest values compared to those obtained for other surfaces produced in similar surface roughness (see Figure 11a,c,d).It can be explained that in Figure 11b (dedicated to the 90° orientation of the test section) the results obtained for P-220 are not illustrated.The reason is that the data collected for P-36 and P-220 achieved similar and highest values compared to other surfaces produced with the use of emery papers, but only P-36 was included in the further analysis as it performed slightly better in the heat transfer coefficient results.Furthermore, more detailed comments are included in Table 6.c,d); the subcooled boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux q w = 46.2kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.
The results shown in Figure 11 were also obtained in the subcooled boiling region, but for a higher heat flux compared to the data presented in Figure 10.In general, the heat transfer coefficient increases with increasing distance from the mini-channel inlet.The local heat transfer coefficients were significantly higher than those determined for q w = 32.5 kW/m 2 and were in the range of 0.9 to 1.9 kW/(m 2 K) for all surfaces tested, except the porous one (see Figure 11b,d).The use of a porous surface produced by soldering iron powder in experiments caused the heat transfer coefficient to reach the lowest values compared to other surfaces.Furthermore, it can be observed that the heat transfer coefficient calculated from the data from the experiments with the use of P-220 emery paper in the production of enhanced heated surfaces achieved mostly the highest values compared to those obtained for other surfaces produced in similar surface roughness (see Figure 11a,c,d).It can be explained that in Figure 11b (dedicated to the 90 • orientation of the test section) the results obtained for P-220 are not illustrated.The reason is that the data collected for P-36 and P-220 achieved similar and highest values compared to other surfaces produced with the use of emery papers, but only P-36 was included in the further analysis as it performed slightly better in the heat transfer coefficient results.Furthermore, more detailed comments are included in Table 6.When analyzing the results for all surfaces produced due to the emery papers shown in Figure 12, it can be indicated that the highest heat transfer coefficient was achieved for P-36 (see Figure 12a,c).Furthermore, the coefficient for each 'emery surface' reached a maximum of 18 kW/(m 2 K), which is much lower compared to the results obtained for other enhanced surfaces (see Figure 12b,d).The lowest values of the heat transfer coefficient were observed for P-220, for downward flow (270°), Figure 12c.The highest coefficient compared to all tested surfaces was noticed for the electro-machining textured surface, for both channel orientations (Figure 12b,d).The laser-textured surface, set at 270°, helped achieve very high values of the heat transfer coefficient (Figure 12d).The lowest coefficient was observed for the use of a porous surface, for each channel orientation (Figure 12b,d).Other comments can be found in Table 7.
Figure 13 illustrates the results in the saturated boiling region, in the form of the temperature of the heated plate (Figure 13a-c) and the heat transfer coefficient (Figure 13d-f) as a function of the distance from the inlet, when the downward flow (270°) was established in the mini-channels.The dependences mostly confirmed previous results regarding the distribution of temperature.The results indicate a sharp increase in temperature with an increasing distance from the inlet.However, a similar dependence is shown in Figure 9d.The highest local temperature was recorded during laser surface texture and When analyzing the results for all surfaces produced due to the emery papers shown in Figure 12, it can be indicated that the highest heat transfer coefficient was achieved for P-36 (see Figure 12a,c).Furthermore, the coefficient for each 'emery surface' reached a maximum of 18 kW/(m 2 K), which is much lower compared to the results obtained for other enhanced surfaces (see Figure 12b,d).The lowest values of the heat transfer coefficient were observed for P-220, for downward flow (270 • ), Figure 12c.The highest coefficient compared to all tested surfaces was noticed for the electro-machining textured surface, for both channel orientations (Figure 12b,d).The laser-textured surface, set at 270 • , helped achieve very high values of the heat transfer coefficient (Figure 12d).The lowest coefficient was observed for the use of a porous surface, for each channel orientation (Figure 12b,d).Other comments can be found in Table 7.
Figure 13 illustrates the results in the saturated boiling region, in the form of the temperature of the heated plate (Figure 13a-c) and the heat transfer coefficient (Figure 13d-f) as a function of the distance from the inlet, when the downward flow (270 • ) was established in the mini-channels.The dependences mostly confirmed previous results regarding the distribution of temperature.The results indicate a sharp increase in temperature with an increasing distance from the inlet.However, a similar dependence is shown in Figure 9d.
The highest local temperature was recorded during laser surface texture and the lowest for the use of a smooth heated surface (Figure 13a-c).Furthermore, the dependence of the heat transfer coefficient shown in Figure 13d-f indicates a sharp decrease with distance from the inlet, but the dependence shown in Figure 12d is similar only in part of the channel length.It should be underlined that the coefficient values are also much lower than those in Figure 12d, but the data in Figure 13 are obtained for lower imposed heat flux compared to the mentioned data.The highest heat transfer coefficient was obtained for electro-machining texturing and the lowest for laser texturing (Figure 13d-f).
Energies 2022, 15, x FOR PEER REVIEW 20 of 28 the lowest for the use of a smooth heated surface (Figure 13a-c).Furthermore, the dependence of the heat transfer coefficient shown in Figure 13d-f indicates a sharp decrease with distance from the inlet, but the dependence shown in Figure 12d is similar only in part of the channel length.It should be underlined that the coefficient values are also much lower than those in Figure 12d, but the data in Figure 13 are obtained for lower imposed heat flux compared to the mentioned data.The highest heat transfer coefficient was obtained for electro-machining texturing and the lowest for laser texturing (Figure 13d-f).and 0.021 m-1/3 distance of the channel length from the channel outlet (Figure 15), for various roughnesses of the heated plate surface (named 'smooth' and modified in different processes).The curves represent the heat flux density as a function of the temperature difference TIRT -Tf.Generally, boiling curves are typical in a shape with nucleation hysteresis, except for those obtained for porous heated surfaces (Figures 14a,b and 15a).Analysis of boiling curves courses indicates that the highest temperature differences were gained for the laser textured surface for both mass fluxes and downward flow (Figures 14c,d and 15c,d).9b) the lowest T IRT (i) P-389, except the inlet (Figure 9a) (ii) laser, smooth and erosion (except the inlet) (Figure 9b) the highest α (i) P-36 (Figure 12a) (ii) erosion (Figure 12b) the lowest α (i) P-80 and P-389 (Figure 12a) (ii) porous (Figure 12b) 270 the highest T IRT (i) P-220 (Figure 9c) (ii) porous, except the inlet (Figure 9d) the lowest T IRT (i) P-36, at the inlet and P-389, for the rest of the entire distance (Figure 9c) (ii) laser (Figure 9d) the highest α (i) P-36, at the inlet and P-389, for the rest of the entire distance (Figure 12c) (ii) erosion, at the inlet; laser, at the central part; and smooth, at the outlet (Figure 12d) the lowest α (i) P-220 (Figure 12c) (ii) porous (Figure 12d)  13a-c) the lowest T IRT (i) smooth (Figure 13a,c) (ii) erosion, except the inlet (Figure 13b) the highest α (i) smooth, at the lowest q w (Figure 13d) (ii) erosion, at the central part (Figure 13e) (iii) smooth, at the highest q w , indecisive results (Figure 13f) the lowest α (i) laser, at the highest q w , except the inlet (Figure 13d-f Characteristic images of two-phase structures recorded for a mass flux of 284 kg/(m 2 •s) are illustrated in Figure 16, for smooth (a,d) and modified surfaces, that is: electro-machining erosion texturing surface (b,d) and laser texturing surface (c,f).Images were captured during an increasing of the heat flux supplied to the heated plate in upward flow (Figure 16a-c) and in downward flow (Figure 16d-f).
It was observed that in upward flow, for the smooth and laser surface, the increasing heat flux caused the formation of only single bubbly structures, but a higher number of bubbles were visible for the erosion surface (Figure 16a-c).It should be mentioned that when analyzing the heat transfer coefficient α determined for upward flow in the satu- The boiling curves were plotted for two cross-sections of the mini-channel along its central axis: 0.011 m-1/3 distance of the channel length from the channel inlet (Figure 14) and 0.021 m-1/3 distance of the channel length from the channel outlet (Figure 15), for various roughnesses of the heated plate surface (named 'smooth' and modified in different processes).The curves represent the heat flux density as a function of the temperature difference T IRT -T f .Generally, boiling curves are typical in a shape with nucleation hysteresis, except for those obtained for porous heated surfaces (Figures 14a,b and 15a).Analysis of boiling curves courses indicates that the highest temperature differences were gained for the laser textured surface for both mass fluxes and downward flow (Figures 14c,d and 15c,d).

Conclusions
The main aim of this work is to present the results of experimental studies on flow boiling heat transfer along seven mini-channels 1 mm deep and 32 mm long.Steady-state experiments were performed in subcooled and saturated boiling regions.The FC-72 flowing in the mini-channels was heated by a thin plate with a modified surface.Several types of surface enhancement were tested: electro-machining texturing, laser surface texturing, iron powder soldering and produced by emery papers of four roughnesses.The temperature on the outer surface of the heater was measured by infrared thermography, while It was observed that in upward flow, for the smooth and laser surface, the increasing heat flux caused the formation of only single bubbly structures, but a higher number of bubbles were visible for the erosion surface (Figure 16a-c).It should be mentioned that when analyzing the heat transfer coefficient α determined for upward flow in the saturated flow boiling region when erosion plate was used in the experiments, there were higher values compared to the laser surface (Figure 13d).The analysis of the flow structures, when the enhanced heated plate surface was applied as a result of the electro-machining process, is difficult due to blurry images (the texture of the surface blurs the However, in downward flow, the formation of two-phase flow structures caused the transition from the bubbly to annular flow regime, which is clearly visible in the images shown at the highest heat flux (Figure 16d-f).In this flow, the two-phase flow structures that form at higher heat fluxes are characterized by a significant amount of the vapor phase in a two-phase mixture.

Conclusions
The main aim of this work is to present the results of experimental studies on flow boiling heat transfer along seven mini-channels 1 mm deep and 32 mm long.Steadystate experiments were performed in subcooled and saturated boiling regions.The FC-72 flowing in the mini-channels was heated by a thin plate with a modified surface.Several types of surface enhancement were tested: electro-machining texturing, laser surface texturing, iron powder soldering and produced by emery papers of four roughnesses.The temperature on the outer surface of the heater was measured by infrared thermography, while the two-phase flow patterns were recorded with a high-speed video camera.The heat transfer coefficient on the heated plate-working fluid contact surface in the central minichannel was of particular interest.Its values were determined using the 1D mathematical method.The results were presented as the relationship between the temperature or the heat transfer coefficient and the distance along the mini-channel length, boiling curves and two-phase flow images.It was observed that when the porous heated surface was used, the highest temperature of the heated wall occurred and the lowest heat transfer coefficient was achieved.Local heat transfer coefficients in the subcooled boiling region increased with distance from the mini-channel inlet.In the saturated boiling region, the heat transfer coefficient was very high, with values up to a hundred times higher than those obtained for subcooled boiling.The highest heat transfer coefficient was obtained for electro-machining textured surfaces from all tested surfaces, but the lowest values were noticed when laser texturing was applied.The boiling curves were plotted for selected cross-sections of the mini-channel along its central axis.The highest temperature differences accompanying boiling incipience were gained for small mass fluxes and downward flow.Characteristic images of two-phase structures illustrated for upward and downward flow were demonstrated.
As a result of the investigations, it was indicated that specific micro-structed surfaces of well-defined roughness, and thermal flow parameters of work of devices and specific spatial orientation of the asymmetrically heated heat exchanger with mini-channels, could help to achieve heat transfer enhancement.More research is still needed.The results can be used in the design of compact heat exchangers with mini-channels of rectangular cross-section and variable spatial orientation.

Figure 2 .
Figure 2. (a,b) Schematic diagrams of the test section: (a) view of the smooth side of the heated pla (b) view of the modified side of the heated plate; 1-a top cover, 2-a heated plate, 3-a body, 4-system of channels in the cover to prevent deformation of the heated plate, 5-a glass plate; (c) example thermograms captured during experimental series when heat flux increased (the exp iment with the smooth heated plate, mass flux of 566 kg/(m 2 •s), downward flow 270°).

Figure 2 .
Figure 2. (a,b) Schematic diagrams of the test section: (a) view of the smooth side of the heated plate, (b) view of the modified side of the heated plate; 1-a top cover, 2-a heated plate, 3-a body, 4-system of channels in the cover to prevent deformation of the heated plate, 5-a glass plate; (c) example thermograms captured during experimental series when heat flux increased (the experiment with the smooth heated plate, mass flux of 566 kg/(m 2 •s), downward flow 270 • ).

Figure 4 .
Figure 4. Topographies of the heated plate surfaces: (a) smooth surface, (b-d) modified surfaces developed by: electro-machining texturing (b), laser surface texturing (c) and porous surface produced by soldering iron powder to the base plate (d); green points mean the data which achieve values higher than the reference level, and the red points-values lower than the reference level.

Figure 4 .
Figure 4. Topographies of the heated plate surfaces: (a) smooth surface, (b-d) modified surfaces developed by: electro-machining texturing (b), laser surface texturing (c) and porous surface produced by soldering iron powder to the base plate (d); green points mean the data which achieve values higher than the reference level, and the red points-values lower than the reference level.

Figure 5 .
Figure 5. Topographies of the heated plate surfaces produced by using emery papers of various roughnesses: P-36 (a), P-80 (b), P-220 (c) and P-389 (d); green points mean the data which achieve values higher than the reference level, and the red points-values lower than the reference level.

Figure 5 .
Figure 5. Topographies of the heated plate surfaces produced by using emery papers of various roughnesses: P-36 (a), P-80 (b), P-220 (c) and P-389 (d); green points mean the data which achieve values higher than the reference level, and the red points-values lower than the reference level.

Figure 6 .
Figure 6.Main characteristics of the experimental series.

Figure 6 .
Figure 6.Main characteristics of the experimental series.
, 8a,b and 9a,b) and with downward flow 270 • (Figures7c,d, 8c,d, 9c,d and 13a-c); the results concern mass flux of 566 kg/(m 2 •s) (Figures7-9) or 284 kg/(m 2 •s) (Figure13a-c) and six values of the heat flux: two chosen in the subcooled boiling region (32.5 kW/m 2 and 46.2 kW/m 2 (Figures7 and 8)) and four in the saturated boiling region (54.2 kW/m 2 (Figure9), 31.1 kW/m 2 , 37.9 kW/m 2 and 45.0 kW/m 2 (Figure13a-c));•The heat transfer coefficient versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90 • (Figures 10a,b and 11a,b) and with downward flow 270 • (Figures 10c,d and 11c,d)-the results for the subcooled boiling region, corresponding to the temperature of the heated plate presented in previous graphs;• The heat transfer coefficient versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90 • (Figure 12a,b) and with downward flow 270 • (Figures 12c,d and 13d-f)-the results for the saturated boiling region, corresponding to the temperature of the heated plate presented in previous graphs; • Boiling curves-the heat flux as a function of the temperature of the heated wall and fluid difference, generated two distances from the mini-channel inlet: 0.011 m (Figure 14) and 0.021 m (Figure 15); for two vertical test section orientations and two values of mass flux, i.e., 566 kg/(m 2 •s) and 284 kg/(m 2 •s), while the heated plate surface in contact with the fluid was smooth and developed by electro-machining and laser surface texturing; • Images of two-phase flow structures (Figure 16), collected for two vertical test section orientations: with upward flow 90 • (Figure 16a-c) and downward flow 270 • (Figure 16d-f); for mass flux of 284 kg/(m 2 •s) while the heated plate surface in contact with the fluid was smooth and developed by electro-machining and laser surface texturing; •

Figure 7 .
Figure 7.The temperatures of the heated plates measured by an infrared camera versus distan from the mini-channel inlet, for two vertical test section orientations: with upward flow 90° (a and downward flow 270° (c,d); the subcooled boiling region; experimental data: mass flux of 5 kg/(m 2 •s); heat flux qw = 32.5 kW/m 2 ; the heated plate surface in contact with the fluid, smooth a developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surfa produced by soldering iron powder (porous), produced with the use of emery papers of varyi roughness: P-36, P-80, P-220, P-389.

Figure 7 .
Figure 7.The temperatures of the heated plates measured by an infrared camera versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90 • (a,b) and downward flow 270 • (c,d); the subcooled boiling region; experimental data: mass flux of 566 kg/(m2•s); heat flux q w = 32.5 kW/m 2 ; the heated plate surface in contact with the fluid, smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 8 .
Figure 8.The temperature of the heated plate measured by an infrared camera versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90° (a,b) and downward flow 270° (c,d); the subcooled boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux qw = 46.2kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 8 .
Figure 8.The temperature of the heated plate measured by an infrared camera versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90 • (a,b) and downward flow 270 • (c,d); the subcooled boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux q w = 46.2kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 9 .
Figure 9.The temperature of the heated plate measured by an infrared camera versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90° (a,b) and downward flow 270° (c,d); the saturated boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux qw = 54.2 kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 9 .
Figure 9.The temperature of the heated plate measured by an infrared camera versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90 • (a,b) and downward flow 270 • (c,d); the saturated boiling region; experimental data: mass flux of 566 kg/(m 2 •s);heat flux q w = 54.2 kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 10 .
Figure 10.The heat transfer coefficient versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90° (a,b) and downward flow 270° (c,d); the subcooled boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux qw = 32.5 kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 10 .
Figure 10.The heat transfer coefficient versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90 • (a,b) and downward flow 270 • (c,d); the subcooled boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux q w = 32.5 kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 11 .
Figure 11.The heat transfer coefficient versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90° (a,b) and downward flow 270° (c,d); the subcooled boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux qw = 46.2kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 11 .
Figure 11.The heat transfer coefficient versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90 • (a,b) and downward flow 270 • (c,d); the subcooled boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux q w = 46.2kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 12 .
Figure 12.The heat transfer coefficient versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90° (a,b) and downward flow 270° (c,d); the saturated boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux qw = 54.2 kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 12 .
Figure 12.The heat transfer coefficient versus distance from the mini-channel inlet, for two vertical test section orientations: with upward flow 90 • (a,b) and downward flow 270 • (c,d); the saturated boiling region; experimental data: mass flux of 566 kg/(m 2 •s); heat flux q w = 54.2 kW/m 2 ; the heated plate surface in contact with the fluid: smooth and developed by: electro-machining texturing (erosion), laser surface texturing (laser), porous surface produced by soldering iron powder (porous), produced with the use of emery papers of varying roughness: P-36, P-80, P-220, P-389.

Figure 13 .
Figure 13.The temperature of the heated plate measured by an infrared camera (a-c) and the heat transfer coefficient (d-f) versus distance from the mini-channel inlet, the vertical test section with downward flow 270°; the saturated boiling region; experimental data: mass flux of 284 kg/(m 2 •s); three values of the heat flux: qw = 31.1 kW/m 2 (a,d), qw = 37.9 kW/m 2 (b,e), and qw = 45.0 kW/m 2 (c,f), the heated plate surface in contact with the fluid: smooth and developed by electro-machining texturing (erosion) and laser surface texturing (laser).

Figure 13 .
Figure 13.The temperature of the heated plate measured by an infrared camera (a-c) and the heat transfer coefficient (d-f) versus distance from the mini-channel inlet, the vertical test section with downward flow 270 • ; the saturated boiling region; experimental data: mass flux of 284 kg/(m 2 •s);three values of the heat flux: q w = 31.1 kW/m 2 (a,d), q w = 37.9 kW/m 2 (b,e), and q w = 45.0 kW/m 2 (c,f), the heated plate surface in contact with the fluid: smooth and developed by electro-machining texturing (erosion) and laser surface texturing (laser).

Figure 14 .
Figure 14.Boiling curves generated for 0.011 m distance from the mini-channel inlet; for two vertical test section orientations: with upward flow 90° (a,b) and downward flow 270° (c,d); mass flux of 566 kg/(m 2 •s) (a,b) and 284 kg/(m 2 •s) (c,d); the heated plate surface in contact with the fluid: smooth and developed by electro-machining texturing (erosion) and laser surface texturing (laser); ONBonset of nucleate boiling.

Figure 14 .
Figure 14.Boiling curves generated for 0.011 m distance from the mini-channel inlet; for two vertical test section orientations: with upward flow 90 • (a,b) and downward flow 270 • (c,d); mass flux of 566 kg/(m 2 •s) (a,b) and 284 kg/(m 2 •s) (c,d); the heated plate surface in contact with the fluid: smooth and developed by electro-machining texturing (erosion) and laser surface texturing (laser); ONB-onset of nucleate boiling.

)Figure 15 .
Figure 15.Boiling curves generated for 0.021 m distance from the mini-channel inlet; for two vertical test section orientations: with upward flow 90° (a,b) and downward flow 270° (c,d); mass flux of (a,b) 566 kg/(m 2 •s) and (c,d) 284 kg/(m 2 •s); the heated plate surface in contact with the fluid: smooth and developed by electro-machining texturing (erosion) and laser surface texturing (laser); ONB-onset of nucleate boiling.

Figure 15 .
Figure 15.Boiling curves generated for 0.021 m distance from the mini-channel inlet; for two vertical test section orientations: with upward flow 90 • (a,b) and downward flow 270 • (c,d); mass flux of (a,b) 566 kg/(m 2 •s) and (c,d) 284 kg/(m 2 •s); the heated plate surface in contact with the fluid: smooth and developed by electro-machining texturing (erosion) and laser surface texturing (laser); ONB-onset of nucleate boiling.

Energies 2022 , 28 Figure 16 .
Figure 16.Images of two-phase flow structures for two vertical test section orientations: with upward flow 90° (a-c) and downward flow 270° (d-f); mass flux of 284 kg/(m 2 •s); the heated plate surface in contact with the fluid: smooth and developed by electro-machining texturing (erosion) and laser surface texturing (laser).

Figure 16 .
Figure 16.Images of two-phase flow structures for two vertical test section orientations: with upward flow 90 • (a-c) and downward flow 270 • (d-f); mass flux of 284 kg/(m 2 •s); the heated plate surface in contact with the fluid: smooth and developed by electro-machining texturing (erosion) and laser surface texturing (laser).Characteristic images of two-phase structures recorded for a mass flux of 284 kg/(m 2 •s) are illustrated in Figure16, for smooth (a,d) and modified surfaces, that is: electromachining erosion texturing surface (b,d) and laser texturing surface (c,f).Images were

Table 1 .
Experimental thermal and flow parameters.

Table 2 .
The basic data of surface roughness and area roughness parameters of the tested surfaces.
* Ra-arithmetic mean deviation of the roughness profile.** Rz-maximum height of the roughness profile.*** Sa-arithmetic mean height of surface roughness.**** Sz-maximum height of surface roughness.

Table 3 .
Maximum values of the heat loss to the surroundings' q loss .

Table 4 .
The components assumed in the calculation of the heat transfer coefficient mean relative error σ α .

Table 5 .
The mean relative errors of the heat flux q w (%) and the heat transfer coefficient σ α (%) at the subcooled and saturated boiling regions for upward and downward flows.

Table 7 .
Main observations concerning the results from the experiments on flow boiling in minichannels in the saturated boiling region.