4.1. Effect of Orientations on Heat Transfer Characteristics of an LHP with a Parallel Condensation Pipeline
Figure 12 shows the variation in the heat source junction temperature (
Tj) with the input power for the LHP with a parallel condensation pipeline under fixed cooling conditions (20 °C, 4 L/min) at multiple orientations. To provide a clearer analysis of the heat source junction temperature differences at various orientations of the LHP,
Figure 13 shows a plot showing the temperature difference between any orientation i of the LHP and the horizontal orientation (orientation 4). As shown in
Figure 12 and
Figure 13, across the entire input power interval of 50 to 750 W, the heat source junction temperatures of the LHP at gravity-assisted orientations 1, 2, and 3 were consistently lower than those at the horizontal orientation (orientation 4). Specifically, the temperatures at gravity-assisted orientations remained lower than those observed at the horizontal orientation throughout the tested power interval. When the input power was below 350 W, the absolute value of the temperature difference between the heat source junction temperatures of gravity-assisted orientations 1, 2, and 3 and the horizontal orientation (
Tj,1,2,3-
Tj,4) decreased as the input power increases. However, when the input power exceeded 350 W, the absolute value of this temperature difference increased with further increases in the input power. This phenomenon was primarily attributed to the fact that, at low input power, the 1 mm copper powder within the walls of the CC can adequately ensure the supply of the WF in the CW, while the condenser exhibited a robust condensation capability. However, as the input power increased, the evaporation of the WF gradually escalated, leading to a reduction in the liquid level of the WF within the CC. This subsequently resulted in a decreased replenishment rate of the WF in the CW, causing the absolute temperature difference between the gravitational orientations 1, 2, and 3 and the horizontal orientations of the heat source junction temperature difference (
Tj,1,2,3-
Tj,4) to diminish. Conversely, when the input power continued to rise, the evaporation stabilized while the evaporation rate persisted. The two-phase zone lengthened the condensation pipeline, and the fluid level of the CC rose, increasing the replenishment rate of the CW and thereby raising the temperature difference (
Tj,1,2,3-
Tj,4). Across the input power interval of 50 to 750 W, the heat source junction temperatures at gravity-assisted orientations 1 and 2 were consistently lower than those at gravity-assisted orientation 3. Specifically, when the input power was below 700 W, the junction temperature at gravity-assisted orientation 1 was lower than at orientation 2. However, when the input power exceeded 700 W, the junction temperature at orientation 2 became lower than at orientation 1. This behavior was mainly attributed to the combined effects of the WF reflux resistance and the replenishment rate of the WF in the CW. The maximum temperature differences between the heat source junctions (
Tj,1,2,3-
Tj,4) for the LHP at gravity-assisted orientations 1, 2, and 3 compared to the horizontal orientation (orientation 4) were measured at 13.44 °C, 13.36 °C, and 9.37 °C, respectively. These values were achieved at input powers of 50 W, 50 W, and 750 W. In addition, the LHP at anti-gravity orientation 7 exhibited a significantly higher heat source junction temperature than the other orientations, achieving its maximum input power of 700 W with a corresponding temperature of 99.73 °C. At this time, the temperature difference (
Tj,7-
Tj,4) between orientation 7 and the horizontal orientation (orientation 4) peaked at 10.49 °C. At low input power (≤350 W) and high input power (≥650 W), the heat source junction temperature of the LHP at orientation 6 surpassed that of the horizontal orientation. Conversely, between 400 and 600 W, the heat source junction temperature at orientation 6 was lower than at the horizontal orientation. For the LHP at orientation 5, the heat source junction temperature was higher than that at the horizontal orientation (orientation 4) when the input power was below 300 W. However, once the input power exceeded 350 W, the heat source junction temperature at the horizontal orientation became lower than that at orientation 5. The causes of such phenomena were primarily associated with the reflux resistance of the WF, heat loss from the evaporator, and variations in the replenishment rate of the WF within the CW. For the LHP at orientation 8, the heat source junction temperature was lower than at the horizontal orientation (orientation 4) when the input power was below 300 W. However, once the input power exceeded 300 W, the heat source junction temperature at the horizontal orientation became even lower. This behavior can be attributed to the reflux resistance of the WF, the movement of the WF within the CC, and the distribution of vapor and liquid in the parallel condensation pipelines. At an input power of 50 W, the temperature difference (
Tj,9-
Tj,4) between orientation 9 and the horizontal orientation (orientation 4) reached a maximum absolute value of 6.79 °C. Additionally, when the input power was 750 W, the heat source junction temperatures for orientations 1, 2, 3, 4, 5, 6, 8, and 9 were measured at 82.81 °C, 82.34 °C, 83.97 °C, 93.34 °C, 91.36 °C, 96.83 °C, 98.68 °C, and 94.35 °C, respectively.
During the heat transfer characteristics experiments, the thermal resistance was a critical parameter for evaluating the heat transfer performance of the LHP. Specifically, the thermal resistance of the LHP, denoted as
RLHP, and the thermal resistance of the LHP system, referred to as
Rsys, were defined as follows [
28,
29].
where
is the condenser average temperature, °C. For water-cooled LHPs,
Tcool refers to the temperature of the circulating coolant, and for air-cooled LHPs,
Tcool denotes the temperature of the cooling air, °C.
Q represents the input power, W.
Figure 14 shows the relationship between thermal resistance (including
RLHP and
Rsys) and input power for LHPs with a parallel condensation pipeline. The data were obtained under conditions of 20 °C coolant temperature and 4 L/min flow rate, at various orientations. As shown in
Figure 14a,b, both the
RLHP and
Rsys displayed a similar trend in response to varying input power. Initially, both
RLHP and
Rsys decreased significantly with increasing input power before eventually stabilizing. The RLHP of the LHP at the seven orientations, specifically orientations 1, 2, 3, 4, 5, 6, and 9, arranged from smallest to largest, was as follows: orientation 1 < orientation 2 < orientation 3 < orientation 5 < orientation 4 < orientation 6 < orientation 9. Across the entire input power interval, the minimum values of the RLHP for test orientations 1 to 9 were as follows: 0.050 °C/W, 0.053 °C/W, 0.054 °C/W, 0.064 °C/W, 0.061 °C/W, 0.066 °C/W, 0.077 °C/W, 0.077 °C/W, and 0.068 °C/W, respectively. As shown in
Figure 14b, when the input power exceeded 650 W, the
Rsys of the nine orientations can be ranked from smallest to largest as follows: orientation 2 < orientation 1 < orientation 3 < orientation 5 < orientation 4 < orientation 9 < orientation 6 < orientation 8 < orientation 7. The minimum
Rsys values across the entire input power interval for orientations 1 to 9 were 0.084 °C/W, 0.083 °C/W, 0.085 °C/W, 0.098 °C/W, 0.095 °C/W, 0.102 °C/W, 0.114 °C/W, 0.105 °C/W, and 0.099 °C/W, respectively.
Table 4 shows the temperature difference of the heat source junction temperature between the LHP with series and parallel condensation pipelines under different LHP orientations.
At higher power inputs, parallel type condenser lines result in more liquid phase WF and higher levels within the compensation chamber due to the longer vapor phase region. In particular, at orientations 1, the WF needs to be transferred to the CW through the sintered copper powder wall, and the higher level significantly enhances the rate of work mass replenishment in the CW, which is more important than the effect of the WF reflux temperature, effectively preventing dryout. Similar mechanisms exist for orientations 2 and 3. The main reason for this is that the parallel construction may operate with only a single condenser tube, which promotes the return of the WF.
4.2. Comparison of the Effect of the Orientation on the Heat Transfer Performance of LHP with a Series/Parallel Condensation Pipeline
Our team previously explored the heat source junction temperature and thermal resistance characteristics of LHPs with series condensation pipelines at various orientations in another publication [
29]. This study, however, focused on comparing the heat transfer performance differences between LHPs with parallel and series condensation pipelines. The flow characteristics and heat transfer mechanisms of gas–liquid two-phase flow within an LHP can vary significantly with the orientation, thereby influencing its heat transfer performance. For example, at vertical orientations, the liquid return was more influenced by gravity, whereas at horizontal orientations, the liquid return primarily depended on capillary forces. These orientation-induced changes affected the performance of both LHPs with series and parallel condensation pipelines. A comparative analysis of their heat transfer characteristics at identical orientations can provide deeper insights into how the condenser arrangement impacted the heat and mass transfer mechanisms of LHPs. To evaluate the steady-state operational characteristics of the flat evaporator water-cooled LHP, we experimentally investigated the relationship between the heat source junction temperature and the input power of LHPs with a series/parallel condensation pipeline at various orientations. The junction temperature data of the LHP with series condensation pipelines at various orientations in this comparative test were all cited from reference [
29]. This investigation covered an input power interval from 50 to 750 W, with the coolant maintained at a temperature of 20 °C and a flow rate of 4 L/min. The comparative results of this relationship are shown in
Figure 15.
Figure 15a–c show the LHP with the condenser positioned above the evaporator at angles of 90° (orientation 1), 60° (orientation 2), and 30° (orientation 3).
Figure 15d shows the horizontally oriented LHP (orientation 4).
Figure 15e–g show the LHP with the condenser positioned below the evaporator at angles of −10° (orientation 5), −20° (orientation 6), and −30° (orientation 7).
Figure 15h,i show the side elevation of the LHP, where the plane that was formed by the vapor and liquid pipelines is perpendicular to the horizontal plane. At orientation 8 (
Figure 15h), the liquid pipeline was positioned above the vapor pipeline, while at orientation 9 (
Figure 15i), the vapor pipeline was positioned above the liquid pipeline. At low power levels (e.g., 50 W), the LHP with a series condensation pipeline typically exhibited a lower heat source junction temperature (
Tj).
From
Figure 15, it can be seen that the performance trend of the LHP varied at most orientations as the input power increased. When the input power was raised to 300~600 W, the advantages of the LHP with a parallel condensation pipeline gradually became evident, demonstrating a lower heat source junction temperature
Tj. At most orientations of the LHP, the temperature difference at the heat source junction between the LHP with a series condensation pipeline and the LHP with a parallel condensation pipeline was negative. However, when the LHP was positioned at orientation 1, with an input power interval of 550 to 750 W, the temperature difference at the heat source junction between the LHPs with a series condensation pipeline and with a parallel condensation pipeline became positive, increasing from 0.48 °C to 13.16 °C. This indicated that the LHP with a parallel condensation pipeline maintained a lower temperature at the heat source junction. Typically, condensers with a series condensation pipeline provide better condensation and lower return temperatures than condensers with a parallel condensation pipeline. However, at orientation 1, with input power between 550 and 750 W, the condenser with a series condensation pipeline exhibited higher heat source temperatures. This phenomenon, observed at orientations 2 and 3 as well, was attributed to the same causes as at orientation 1. When the LHP was at orientation 2 and the input power interval was from 600 to 750 W, the temperature difference at the heat source junction between the LHPs with a series and parallel condensation pipeline was positive, increasing from 1.60 °C to 12.56 °C. Similarly, at orientation 3, for input powers between 650 and 750 W, the temperature difference remained positive, rising from 2.62 °C to 5.56 °C. Additionally, at low input powers of 50 W or 100 W, the heat source junction temperature difference for certain orientations remained positive.
4.3. Theoretical Analysis of the Effect of the Orientation on the Heat Transfer Performance of LHP with a Series/Parallel Condensation Pipeline
At low input power, the evaporation rate of the WF in the LHP and the replenishment rate in the CW were minimal. Under these conditions, the reflux temperature of the WF in the CC played a critical role in determining the heat transfer performance of the system. As the input power increased, both the evaporation of the WF and the replenishment rate in the CW rose significantly. However, since the condensation conditions of the condenser remained constant, the return fluid temperature continued to increase with higher input power. Under high input power conditions, the replenishment rate of the WF in the CW became a more dominant factor influencing the heat transfer performance of the LHP [
30]. When the LHP was oriented horizontally (
Figure 15d), the heat source junction temperature of the LHP with a series condensation pipeline remained lower than that of the LHP with a parallel condensation pipeline across the entire input power interval (0–750 W). This can be attributed to the series-type condensation pipeline, which featured a single serpentine arrangement, resulting in a more uniform condensation field for the WF. Consequently, the condensation effect was enhanced, the subcooling degree of the liquid-phase WF in the condensation pipeline was elevated, and the temperature of the WF returning to the CC was reduced. In contrast, the parallel condensation pipeline consisted of two copper tubes arranged in parallel, which may have led to insufficient cooling of the WF in the condensation pipeline, thereby diminishing the condensation effect of the WF.
The WF mass flow rate
ṁwf in the LHP was determined using the following expression:
where
ṁwf represents the mass flow rate of the WF, measured in kg/s.
Qapp denotes the input power, expressed in watts (W).
hlv indicates the latent heat of vaporization of the liquid WF, measured in joules per kilogram (J/kg). The computational expression for the length of the two-phase region
L2ϕ in the condenser was provided as below [
31]:
where
Tc denotes the temperature of the saturated liquid in the condenser, measured in °C.
Tsink denotes the temperature of the circulating coolant, also measured in °C.
x denotes the dryness fraction. (
UA/L)
f-s represents the overall heat transfer coefficient per unit length between the two-phase region of the condenser and the circulating coolant, expressed in W/K.
The expression for the calculation of (
UA/
L)
f-s was given as below:
where
hc,2ϕ represents the convective heat transfer coefficient between the WF and the inner pipe wall of the condensation pipeline in the two-phase region of the condenser, measured in W/(m
2·K).
dc,i and
dc,o denote the inner and outer diameters of the condensation pipeline, respectively, measured in meters.
λc−1 and
λc−2 are the thermal conductivity coefficients of the condensation pipeline and the condenser, expressed in W/(m·K).
tc indicates the thickness of the condensation pipeline bayonet along the circulating coolant flow path in the single-layer condenser, measured in meters.
Ac refers to the condensation area of the condenser, in square meters.
Lc signifies the length of the condensation pipeline, measured in meters.
hc,o is the convective heat transfer coefficient between the WF and the circulating coolant as well as the condenser thickness, measured in meters.
The computational expression for
hc,2ϕ was presented as below [
32]:
where
hc,1ϕ denotes the condenser in the single-phase region of the WF and the condensation pipeline, which corresponds to the wall of the convection heat transfer coefficient, measured in W/(m
2·K).
ρl and
ρv represent the liquid mass density and gas mass density, respectively, measured in kg/m
3.
The computational expression for
hc,1ϕ was presented as below [
33]:
where
Rel,c represents the Reynolds number of the liquid-phase medium within the condenser.
Prl,c denotes the Prandtl number of the liquid-phase medium in the condenser.
The equation for determining the length of the single-phase zone
L1ϕ within the condenser was provided as below:
Equations (7)–(12) are applicable to a copper/water LHP with 20 °C cooling water, 4 L min
−1 flow rate, and 50–750 W heat load, ignoring the axial heat conduction and tube wall heat capacity. When the system is in an unsteady state and has a very low heat load, the above three equations may produce deviations [
32].
The calculated results are presented in
Figure 16. Under low input power conditions, as the input power increased, the length of the single-phase region in the condenser of the LHP decreased, while the length of the two-phase region increased. Notably, both the series and parallel condensation pipeline configurations of the LHP exhibited similar trends, indicating a reduction in the condensability of the WF within the system. When the input power exceeded 550 W, the lengths of both the single-phase and two-phase regions gradually stabilized.
Figure 16 also shows that, across the entire experimental input power interval, the LHP with a parallel condensation pipeline exhibited a longer two-phase region compared to the series configuration. This observation suggested that the LHP with a series condensation pipeline demonstrated higher condensation efficiency. Additionally, the lower WF reflux temperature in the series configuration contributed to its superior performance. Overall, the heat transfer performance of the LHP with a series/parallel condensation pipeline was predominantly influenced by the WF reflux temperature and the amount of WF present in the CC.
As shown in
Figure 15d, under low input power conditions (0–200 W), the temperature difference between the heat source junctions of LHPs equipped with series and parallel condensation pipelines was minimal. However, as the input power increased beyond this interval, a notable divergence emerged: the heat source junction temperature of LHPs with a parallel condensation pipeline rose significantly higher than that of LHPs with a series condensation pipeline. This resulted in a progressively widening temperature difference between the two configurations. The observed phenomenon can be attributed to the fact that under low input power conditions, the evaporation of the WF was minimal, resulting in negligible differences in the condensation performance between the series and parallel condensation pipeline configurations within the condenser. As the input power increased, both the vapor flow rate and temperature rose, leading to a significant increase in the temperature of the WF returning to the CC in LHPs with a parallel condensation pipeline. This behavior is further shown in
Figure 17, which shows the distribution of the WF in the CC. While there was a variation in the liquid volume between the series and parallel condensation pipelines, this variation had minimal impact on the fluid level within the CC. Ultimately, the temperature differential at the junctions of LHPs with series and parallel condensation pipelines gradually increased under these conditions.
At the gravity-assisted orientation, the WF could not directly contact the CW. Instead, the fluid within the CW was transmitted through a 1 mm thick layer of sintered copper powder lining the wall of the CC, ensuring proper heat pipe operation. This study examined three distinct cases at the gravity-assisted orientation, referred to as orientations 1, 2, and 3, with a particular emphasis on orientation 1. The specific mass distribution within the system is shown in
Figure 18a. At low input power, the evaporation of the WF was reduced, allowing the condensed WF to flow back into the CC more smoothly under gravitational influence. This ensured that the 1 mm thick sintered copper powder lining the inner wall of the CC effectively maintained the supply of WF within the CW. Additionally, due to efficient condensation of the vapor-phase WF, the temperature of the returning liquid was lower. As a result, the wick temperature of the LHP with a series or parallel condensation pipeline was generally lower under low input power conditions. However, as the input power increased, the evaporation rate of the WF rose, while the condensation conditions of the condenser remained unchanged. This imbalance led to a gradual increase in the temperature of the returning WF. As shown in
Figure 15a, under low input power conditions (50–550 W), the LHP with a series condensation pipeline exhibited a lower heat source junction temperature compared to that with a parallel condensation pipeline. This phenomenon can be attributed to the significant influence of the WF reflux temperature on the system heat transfer performance at low input power levels. Under these conditions, the evaporation rate of the WF was relatively low, and the condenser in the series-type tubing arrangement operated more efficiently than that in the parallel-type arrangement. This higher efficiency resulted in the lower temperature of the WF returning to the CC. Therefore, the series condensation pipeline configuration led to more effective cooling of the heat source junction, as evidenced by the lower temperatures observed. At high input power levels (550–750 W), the influence of the WF reflux temperature on the system heat transfer performance diminished, and the replenishment rate of the WF in the CW became the dominant factor. The parallel condensation pipeline exhibited suboptimal condensation performance, leading to a longer vapor-phase region and a higher volume of liquid-phase WF in the CC. However, as the volume of liquid-phase WF in the CC increased, the liquid level rose, accelerating the replenishment rate of the WF in the CW. Consequently, under these operating conditions, the heat source junction temperature of the LHP with a parallel condensation pipeline was lower.
At the anti-gravity orientation, the CC ensured adequate WF replenishment in the CW. The dominant factors influencing the system heat transfer were the WF reflux resistance and reflux temperature. The specific distribution of the WF is shown in
Figure 18b. This study examined three distinct cases at anti-gravity orientations—orientations 5, 6, and 7, with particular emphasis on the scenario where the LHP was positioned at orientation 7. As shown in
Figure 15g, across most of the input power interval (50–700 W), the LHP with a series condensation pipeline demonstrated a lower heat source junction temperature. This was attributed to the efficient condensation performance of the WF in the condenser with a series condensation pipeline, which resulted in a lower temperature for the WF returning to the CC. However, when the input power exceeded 700 W to 750 W, the heat source junction temperature of the LHP with a parallel condensation pipeline became lower. This shift can be explained by several factors: the condenser with a parallel condensation pipeline had relatively lower cooling efficiency and primarily contained a vapor-phase medium. In contrast, the series condensation pipeline was predominantly filled with a liquid-phase medium. Consequently, the reflux resistance in the parallel condensation pipeline was reduced, enhancing the overall heat transfer characteristics of the system and leading to a lower medium reflux temperature. This improvement in heat transfer performance resulted in the lower return temperature of the WF.
When the LHP was positioned at the side elevation orientation, the distribution of the WF was as shown in
Figure 18c. The temperature trend at the heat source junction was primarily governed by the interplay between gravitational forces and the rate of WF replenishment within the CW. This study examined two distinct scenarios at the side elevation orientation, specifically orientations 8 and 9. At orientation 8, where the liquid pipeline of the system was positioned above the vapor pipeline, the gravitational force acting on the WF in the condenser pipeline negatively impacted the thermal performance of the LHP. Conversely, the gravitational force in the liquid pipeline positively contributed to the thermal performance of the LHP. From
Figure 15h, it can be observed that the LHP with a series condensation pipeline consistently exhibited a lower heat source junction temperature across the entire input power interval investigated in this study. This behavior can primarily be attributed to the fact that at low input power levels, evaporation of the WF was minimal, and the CC contained sufficient WF to replenish the CW. As a result, the temperature of the returning WF became the dominant factor influencing the heat transfer characteristics of the system. Furthermore, the LHP with a series condensation pipeline demonstrated a more pronounced condensation effect compared to the LHP with a parallel condensation pipeline, leading to the lower temperature of the returning fluid. As the input power increased, in the LHP with a parallel condensation pipeline configuration, the condensation performance deteriorated, resulting in an increased volume of liquid-phase WF being returned to the CC. However, this change had minimal impact on the liquid level of the WF within the chamber. Consequently, the temperature of the returning WF remained the dominant factor influencing the system heat transfer characteristics. At orientation 9, where the vapor pipeline was positioned above the liquid pipeline within the system, the gravitational effect on the WF in the condensation pipeline differed from that observed at orientation 8. As shown in
Figure 15i, the LHP with a series condensation pipeline maintained a relatively low heat source junction temperature at low input power levels. However, as the input power increased, the LHP with a parallel condensation pipeline demonstrated a lower heat source junction temperature. When the input power was below 200 W, the evaporation of the WF was diminished, leading to a reduced volume of condensed WF within the condenser and decreased resistance for the WF to return to the CC. In this scenario, the LHP with a series condensation pipeline demonstrated efficient condensation, resulting in the lower temperature of the fluid returning to the CC. When the input power exceeded 200 W, the evaporation of the WF intensified. The condenser with a parallel condensation pipeline exhibited slightly less effective condensation. However, the WF in the pipeline predominantly remained in the vapor phase. In contrast, the condenser with a series condensation pipeline, due to its superior condensation effect, retained a higher proportion of WF in the liquid phase within the pipeline. The gravitational force acting on the liquid-phase WF in this configuration negatively impacted the thermal performance of the LHP. Consequently, the LHP with a parallel condensation pipeline experienced reduced WF reflux resistance. The level of WF in the CC facilitated the replenishment of the CW. In this scenario, the influence of the reflux resistance and the WF replenishment rate in the CW on the system heat transfer performance outweighed that of the WF reflux temperature. As a result, the LHP with a parallel condensation pipeline demonstrated greater advantages, leading to a lower heat source junction temperature.
Combined with the above experimental results, the LHP system in this study is compared with the four references mentioned in the introduction as shown in
Table 5.
The novel LHP system proposed in this study demonstrates low thermal resistance, high input power density, and full orientation adaptability at the chip level through structural innovation and systematic orientation optimization. It significantly outperforms similar systems documented in the existing literature and offers an efficient and compact solution for high-power chip heat dissipation.