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Article

Dynamic Simulations of Phase-Change Emulsions in Cooling Systems

1
School of Architecture and Transportation Engineering, Ningbo University of Technology, Ningbo 315040, China
2
Faculty of Science and Engineering, The University of Nottingham Ningbo China, 199 Taikang East Road, Ningbo 315100, China
3
Faculty of Engineering and Information Sciences, Sustainable Buildings Research Centre, Wollongong 2522, Australia
*
Author to whom correspondence should be addressed.
Buildings 2025, 15(11), 1873; https://doi.org/10.3390/buildings15111873
Submission received: 14 April 2025 / Revised: 24 May 2025 / Accepted: 24 May 2025 / Published: 29 May 2025
(This article belongs to the Section Building Materials, and Repair & Renovation)

Abstract

:
The application of phase change material emulsions (PCMEs) in heating, ventilation, and air conditioning (HVAC) systems is considered to be a potential way of saving energy due to their relatively higher energy storage capacity compared with water. They are now widely used as a heat transfer media, so they are able to reduce the flow rate whilst delivering the same amount of cooling energy. In order to evaluate the energy-saving potential of the integrated PCME air conditioning system, whole-building energy simulation was carried out with the building simulation code TRNSYS. Before simulating the whole system, a mathematical model for a PCME-integrated fan coil unit was first developed and validated. A phase change material emulsion called PCE-10 was used, and the TRNSYS simulation showed that the required volumetric flow rate of phase change material emulsions was 50% less than that of water when providing the same cooling effect, which could contribute to a 7% reduction in total energy consumption.

1. Introduction

Chilled water systems are widely used in large-scale air conditioning projects around the world. Pumps circulating chilled water are major energy consumers, responsible for about 15–30% of the system’s energy consumption [1]. A chilled water system is an all-water system. The chilled water is produced in the central plant and flows through the fan coil unit (FCU), where it absorbs sensible and latent heat from the passing air. The air is cooled and dehumidified after the heat transfer [2]. The FCUs comprise a finned-tube coil, an insulated drain pan under the coil to collect condensate, a fan to move air through the coil, filters, and a cabinet to house these components. An additional air distribution system may also be employed to distribute only fresh air to meet fresh air requirements [3].
Past investigations have identified phase change emulsions (PCMEs) as potential working fluids that could be used to reduce energy consumption in HVAC systems [4,5,6,7]. PCME is a colloidal system in which paraffin is directly dispersed in water by a surfactant, which uses the latent heat capacity of paraffin, as well as the sensible heat capacities of water and PCM, to store thermal energy. PCMEs do not lose fluidity during phase transitions due to the carrier fluid. Hence, PCMEs can be directly used in both storage systems and pumped systems, such as a cold supply network. What is more, without additional coating or supporting materials, a PCME is cheaper to produce and would have a lower viscosity. Integrated PCME/air conditioning systems could take advantage of their high heat capacities to reduce the flow rate, saving pumping power whilst delivering the same cooling effect. PCMEs can also simultaneously act as cold storage materials to shift peak load to off-peak times, improving the COP of systems.
The proposed air conditioning system operates with a chilled-phase change emulsion at a temperature of approximately 7–12 °C. During working hours, the phase change emulsion is directly circulated through a room’s fan coil units by a centrifugal pump, and it completes the phase change process from solid to liquid and extracts heat from the room before returning to the central plant.
In order to model the performance of the proposed system, a modular analysis software, the Transient System Simulation Program 17th (TRNSYS 17th), was applied. The TRNSYS is widely used in central air conditioning system simulation [8,9,10,11], as well as PCMs [12,13,14]. However, the TRNSYS modules for fan coil units working with PCMEs are not yet mature enough. Therefore, in this paper, a TRNSYS module of a PCME-integrated fan coil unit will be developed and validated first. Then the air conditioning system of an office in Ningbo is simulated based on TRNSYS software.

2. Development of a TRNSYS Model of a Fan Coil Unit Working with a Phase Change Material Emulsion

The key to simulating the effectiveness of the PCME in central air conditioning systems in the TRNSYS is to simulate the heat exchange process between the PCME and air. Therefore, a new TRNSYS component model of a fan coil unit with a PCME as the working fluid was developed and validated first.

2.1. Mathematical Model

A numerical model was used to model fan coil units with phase change emulsions (PCMEs) as the working fluid. The PCME flows through the finned coil and exchanges heat with the air, and the resulting heat exchange process is mainly forced convection.
The fan coil units comprise a finned-tube coil, an insulated drain pan under the coil to collect condensed water vapor, a fan to move air through the coil, filters, and a cabinet to house these components. Therefore, it was modeled as a single equivalent unit made up of the cooling coil (a custom Type 850d component), a variable speed pump (Type 741), and a variable speed fan (Type 662).
Pumps and fans can be modeled using standard components that have already been developed by the TRNSYS Company. However, for all available heat exchangers in the model library, the specific heat capacities of hot-side and cold-side fluids are set as constant parameters. It is not designed to model the phase change effect. Therefore, a custom Type850d component was built to simulate heat exchange with variable heat capacities. Incorporating a forced function block and an effectiveness-NTU method, this component can then be used to model the performance of cross-flow heat exchangers integrated with fluids of variable heat capacities, such as the phase change emulsion.

2.2. Modeling of Heat Exchange

The effective minimum heat capacity rate approach was adopted to model heat exchangers (Figure 1). In this approach, the heat exchanger’s overall heat transfer coefficient, U, the heat transfer area, A, and inlet conditions shall be provided. The model then determines whether the cold (load) or the hot (source) side is the minimum heat capacity rate side and calculates the effectiveness based on the specified flow configuration and UA.
The effectiveness and outlet conditions of the cross-flow heat exchanger are then computed at each time step using the following equations [15].
C c = m c C p , c ,
C h = m h C p , h ,
If Ch < Cc, then, Cmin = Ch and Cmax = Cc
ε = 1 - exp { C c C h [ 1 exp ( U × A C mc ) ] } ,
If Ch > Cc, then, Cmax = Ch and Cmin = Cc,
ε = C h C c × { 1 exp [ C c C h + C c C h × exp ( U × A C c ) ] } ,
where
Mc = mass flow rate of the cold side;
Mh = mass flow rate of the hot side;
U = overall heat transfer coefficient;
A = heat transfer area;
Ch = heat capacity rate of the hot side;
Cc = heat capacity rate of the cold side;
ε = effectiveness;
Cmax = maximum value of Ch and CC;
Cmin = minimum value of Ch and CC.
The energy transfer in the coil and outlet temperatures of the hot and cold fluids are as follows:
Q max = C min ( T h , i T c , i ) ,
Q total = Q max × ε ,
T h , o = T h , i Q total C h ,
T c , o = T c , i + Q total C c ,
where subscripts h, c, o, and i represent the hot side, cold side, outlet, and inlet, respectively.

2.3. Modeling the Phase Change Effect

To account for the phase change effect, the effective heat capacity approach was used. It is an approach first introduced by Alisetti et al. [16], and its accuracy has been validated by other previous theoretical results, as well as experimental data [17,18].
This approach is built on the assumption that the PCM melts over a temperature range, called the phase change temperature range (TMR), so that the phase change effect can be directly incorporated into the energy equation by assuming that the specific heat capacity of the phase change material is a function of the temperature, as Figure 2 shows. The temperature at which the PCM starts to melt is called the onset-phase change temperature (TMPL), and the temperature at which the PCM starts to solidify is called the end-phase change temperature (TMPH). This avoids complicated terms or special analytical techniques and could easily be applied to the TRNSYS program. The specific heat of the PCM is given according to the temperature based on Equation (9) [16].
C p , m , eff ( T ) = C p , PCM T < TMPL Δ h TMPH TMPL TMPL < T < TMPH C p , PCM T MPH < T ,
where
Cpm,eff = the effective specific heat of the PCME;
Cp,PCM = the specific heat of paraffin in the solid state;
Δh = the latent heat of fusion;
TMPL = the onset-phase change temperature;
TMPH = the end-phase change temperature.
As the equation shows, outside of the phase change range, the PCM’s specific heat capacity does not vary significantly with temperature, so it can be assumed as a constant. In the phase change range (TMPL < T < TMPH), the specific heat is related to the latent heat of the PCM, which can be measured with suitable analytical tests, such as differential scanning calorimetry (DSC). Though the effective specific heat of the phase change material may vary in the melt temperature range, the shape of the specific heat capacity–temperature curve has little effect on the heat transfer process [19]. As a result, it is also possible to assume that the specific heat capacity of the PCM remains constant during the phase change process, as Figure 2 shows.
However, the PCME is a mixture of the PCM and water, so Equation (9) needs to be modified to account for the impact of water. Based on Chen’s research [20], the specific heat of the emulsion is the mass-averaged specific heat of its constituents. Therefore, the final effective specific heat of the PCME can be described as follows:
C p , m , eff ( T ) = ( 1 X PCM ) C p , w + X PCM C p , PCM T < T MPL ( 1 X PCM ) C p , w + X PCM Δ h T MPH T MPL T MPL < T < T MPH ( 1 X PCM ) C p , w + X PCM C p , PCM T MPH < T ,
where XPCM is the weight fraction of the PCM.

2.4. Validation of the Developed Model

In order to validate the developed mathematical model for the PCME-integrated fan coil units, experimental studies were carried out. A small test rig was constructed in a controlled lab (Figure 3).
The rig is designed to reproduce a typical FCU installation in an office building. The model space is housed inside a controlled lab, which acts as a buffer to control heat loss and gain through the fabric. The air flow velocity is controlled by adjusting the speed of the fan. Energy is introduced into the test facility using a 500 W heat convector that simulates internal heat gains (people and electrical equipment). The volume flow rate of the PCME was measured at the inlet of the FCU with an accuracy of ±0.1%. The PCME’s temperature and the temperature at the inlet and outlet cross-sections of the air flow were also measured at the coil inlet and outlet by K-type thermocouples with an accuracy of ±0.07%. The pressure drop was measured by two pressure sensors with an accuracy of ±1.5%. The air velocity was measured at the inlet and outlet flow cross-sections with a TESTO anemometer 410-1, whose accuracy is ±2%. A standard FP-34 fan coil unit was used, and its specifications were measured on-site before the experiment, as listed in Table 1.
During the experiment, the air flow velocity was set at 1 m/s. The temperature of the box was allowed to float between 25–28 °C. The PCME was fabricated according to published work [20]. The developed phase change emulsion, PCE-10, has a specific heat capacity of 3.8 kJ/(kg·K). During the phase change (TMPL = 4 °C, and TMPH = 11 °C), the specific heat capacity increases to 8.12 kJ/(kg·K).
The measured results are listed in Table 2. In Table 2, the cooling capacity is the average of the air-side and fluid-side capacities [8], as shown in Equation (11).
Q FCU = 0 . 5 × ( Q W + Q Air ) ,
This is considered reliable only if the difference between the air- and water-side capacities is less than 5%, as Equation (12) states.
Q W Q Air Q FCU 5 % ,
The experimental results are listed in Table 3. It can be seen from this table that the cooling media flow rate for water is 304 kg/h, while for the PCME, it is 130 kg/h; however, the cooling capacity remains comparable. This result is promising and relates to the contribution of the PCME’s latent heat storage.
To validate the accuracy of the developed model, initial conditions (Table 3) were defined in the TRNSYS and were the same as experimental setups. Generally speaking, the numerical modeling results were in good agreement with the experimental data. The simulation results of the inlet and outlet fluid temperatures had an average error of 3.7%. Figure 4 compares the recorded and simulated results of temperature variations. The mean difference was within 0.2 °C. The biggest difference occurred in the early stage of cooling. It actually took a longer time for temperature differences to be stabilized than in the prediction. Regarding the cooling capacities, based on the simulation results, the cooling capacities for the PCME and water were 1.65 kW and 1.61 kW, which are both within a 3% difference.

3. Case Study

After validating the developed PCME-integrated fan coil unit, a case study was carried out to evaluate the potential of PCMEs as a cooling media.

3.1. Physical Model Setup

In order to evaluate the performance of the PCE-10 integrated air conditioning system, a typical office building in a south-facing high-rise building in Ningbo, China (N 29°49′19″ E 121°31′15″) was simulated. The reference year weather data for Ningbo was based on a 1982–1997 period of record obtained from the Chinese National Climatic Data Centre [21,22].
The simulated office room is a lightweight construction measuring 4.5 m high by 4.5 m wide and 3.6 m deep, with only one external façade composed of 70% glazing. The construction and physical properties of the building components are specified in Table 4. Windows are single-glazed (facing south), and the U-values follow those set by the design standard for the region [22] for Type B (total floor area < 2000 m2).
The building thermal capacitance describes the ability of building components to store heat, providing inertia against temperature fluctuations. The building thermal capacitance includes the capacitance of building materials and furnishings. In accordance with the HVAC system design manual [23], the average internal thermal capacitance for the office building is 4.2 Wh/m2K, and the total heat storage capacity of the studied office room is 400 Wh/K.
The building is occupied daily from 07:00 to 18:00. The cooling load equals the sum of internal gains, such as lighting, equipment and occupants, and solar radiation. For simplification, the cooling load was estimated by using the cooling load index for Chinese office buildings [24]. For normal office buildings, the cooling load per square meter is 125 W. The average cooling load is 2 kW.

3.2. Modeling the HVAC System

The entirety of the cooling load was covered by a central air conditioning system. The central air conditioning system was switched on from 06:00 to 18:00 in the summer months (June to August). The complete TRNSYS system model is shown graphically in Figure 5.
The developed custom Type 850d component was used to describe the fan coil units, and the following generic types were used for all other components:
  • Building: energy rate control building (Type690);
  • Chiller: a vapor compression-style water-cooled chiller (Type666);
  • The data files were constructed from the performance data for the ElectricEIRChiller Carrier 19XR 742kW/5.42COP/VSD;
  • Cooling Tower: closed-circuit cooling tower (Type 510);
  • Fan: variable speed fan (Type 662);
  • Pump: variable speed pump (Type741);
  • Other component model: weather data processor; main equation block.

3.3. Simulation Setup

Two separate cases were simulated in this study. Case 1, as the control group, simulated a conventional air conditioning system with water as a cooling medium. In Case 2, the structure of the system was kept the same as in Case 1, but the phase change material emulsion PCE-10 was used as the cooling medium instead of water.
With the aim of approaching reality, the designs of the two air conditioning systems were based on the guidelines in the Practical Heating and Air Conditioning System Design Manual [25].
  • Determination of cooling load: The design cooling load is 2000 W.
  • Determination of air flow rate: In the office building, the room area requirement is 4 m2/person, and a minimum of 30 m3/h/person of air supply is required. In a 4.5 × 3.6 m office room, the number of occupants is four persons, and it will need 120 m3/h (154.8 kg/h) of fresh air.
  • Determining the number of air handling units: The technical data of the self-assembled air handling unit were used for this study. The number of fan coil units is related to the cooling load and cooling capacity of fan coil units at a medium level. Thus, the number of fan coil units required is as follows:
n = 2000   W 1570   W = 1 . 27 2 For FCU W ,
n = 2000   W 1590   W = 1 . 25 2 For FCU P ,
Therefore, two air handling units can supply 690 kg/h of fresh air in total, which meets the required fresh air supply without the need for an additional ventilation system.
  • Determining the size of other primary equipment: Based on the cooling load and number of fan coil units, the following primary equipment was selected accordingly. The technical data are listed in Table 5.

4. Results and Discussion

4.1. Cooling Performance

The performances of two air handling units have been simulated based on weather data for 31 July (the hottest day).
Figure 6 shows the performances of Case 1 and Case 2. The air conditioning system started working at 6am (5070 h). The performances of the two systems were fairly similar. The temperatures of the inlet air and fluid increased by 2 °C and 0.2 °C before entering the FCUs due to rejected heat from the fan and pump. Fluid-side temperatures increased by roughly 4.8 °C and 5.1 °C in Case 2 and Case 1, respectively. The air was effectively cooled from 30 °C to 13.6 °C and 13.8 °C for Case 2 and Case 1, respectively. It was noticed that the two systems achieved similar cooling performances, yet the average effectiveness of the phase change emulsion-integrated air conditioning system (0.83) was slightly lower than that of the normal air conditioning system (0.87), probably because of the variation of the PCME’s heat capacity. During peak load hours, the outlet temperature of the PCME was around 13.5 °C, at which temperature the heat capacity dropped to 3.8 kJ/kgK and the effectiveness changed to approximately 0.91.
The performances of two complete systems are presented in the form of a comparison between an office room equipped with a chilled water system (Case 1) and another with a chilled PCE-10 air conditioning system (Case 2).
The comparisons of the hourly indoor air temperatures of Case 1 and Case 2 are presented in Figure 7 for the hottest week (20–26 July). In both cases, the room temperature did not vary significantly with the outdoor temperature. As the air conditioning system started working 1 h earlier than the other equipment, the room temperature dropped to 18 °C. Then, it gradually rose to 20 °C due to heat input from the office equipment. At night, when the air conditioning system was off, the heat capacitance inside the office released heat and kept the temperature at 21 °C.
In Case 1, 608 kg/h of chilled water was used to keep the room temperature at 20 °C during the daytime when the air conditioning system was operating. In Case 2, it only took 260 kg/h to achieve the same cooling effect.

4.2. Energy Consumption

The energy consumption of Case 1 and Case 2 for the summer months (June to August) is broken down in Figure 8. Case 1 consumed 4036 MWh of energy during its 3-month operation, among which 53% of energy was consumed by the chiller, followed by 26% by the refrigerant distribution system (i.e., pumps). Chilled water pump power alone was responsible for 6.5% of the total energy usage. In Case 2, the total energy consumption was 3751 MWh, which is a reduction of 7%, and the energy used by the chilled water pump was reduced significantly by roughly 50%.

5. Conclusions

In this paper, the idea of applying a phase change emulsion into an air conditioning system as a cooling medium was explored, and the performance of a phase change emulsion in an air conditioning system was evaluated with the transient system simulation program TRNSYS.
As the current TRNSYS components failed to model the performance of phase change emulsion in cooling coils, a new component was therefore developed. This custom component uses the effectiveness-NTU method to model the heat exchanger and the effective heat capacity method to incorporate this into the heat exchanger model by using a force function. It has been validated that this component could model the cooling effect of fan coil units with a PCME. Fan coil units with a PCME have a rated cooling capacity of 1.6 kW and a rated air flow rate of 516 kg/h. Compared with a normal FCU, it was found that fan coil units with a PCME could cut the amount of cooling media by 50% but still achieve the same cooling capacity.
By incorporating the technical data of an integrated PCME/fan coil unit into the TRNSYS system, the annual energy consumption of the integrated PCME/air conditioning system and the normal air conditioning system were analyzed based on a model room located in Ningbo, China. The simulation results showed that the PCME/air conditioning system could achieve the same cooling effect as the normal chilled water system with 50% less cooling media and a 7% reduction in the energy consumed by the air conditioning system. However, this study only focused on one field condition. For future studies, simulations and experiments using other field conditions and economic assessments should be carried out to assess the feasibility of a PCME/air conditioning system. In addition, the mass-averaged heat capacity used assumes thermal equilibrium at all times; therefore, other methods to better simulate the thermal delay are suggested.

Author Contributions

Conceptualization, J.D.; methodology, G.K. and J.S.; software, J.S.; validation, J.S.; writing—review and editing, Y.W. and J.S. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Data Availability Statement

The data used to support the findings of this study are included in this study and also available from the corresponding author upon request.

Conflicts of Interest

The authors declare no conflicts of interest.

Abbreviations

The following abbreviations are used in this manuscript:
QFCU Cooling capacity of the fan coil unit, W
QW Cooling capacity of the water side, W
QairCooling capacity of the water side, W
CcHeat capacity rate of the cold side, kJ/(g·K
ChHeat capacity rate of the hot side, kJ/(g·K)
CpcSpecific heat of the cold side, kJ/(kg·K)
CphSpecific heat of the hot side, kJ/(kg·K)
Cp,PCM Specific heat of paraffin in the solid state, kJ/(g·K)
Cp,W Specific heat of water, kJ/(kg·K)
Cpm,effEffective specific heat of the PCME, kJ/(kg·K)
mcMass flow rate of the cold side, kg/s
mhMass flow rate of the hot side, kg/s
UOverall heat transfer coefficient, W/(m2·K)
AHeat transfer area, m2
εEffectiveness
CmaxMaximum value of Ch and CC
CminMinimum value of Ch and CC
TTemperature, °C
Th,oHot-side outlet temperature, °C
Th,iHot-side inlet temperature, °C
Tc,oCold-side outlet temperature, °C
Tc,iCold-side inlet temperature, °C
QtotalTotal heat transferred, W
QmaxMaximum amount of heat transferred, W
ΔhLatent heat of fusion, kJ/kg
TMPL Onset melting temperature, °C
TMPHEnd-phase change temperature, °C
XPCMWeight fraction of the PCM, %
PCMPhase change material
FCUFan coil unit
PCMEPhase change emulsion

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Figure 1. Heat exchanger schematic.
Figure 1. Heat exchanger schematic.
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Figure 2. Effective heat capacity approach [15].
Figure 2. Effective heat capacity approach [15].
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Figure 3. Scheme of the integrated system.
Figure 3. Scheme of the integrated system.
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Figure 4. Performance recording of a model air conditioning system with PCME (experiment and simulation).
Figure 4. Performance recording of a model air conditioning system with PCME (experiment and simulation).
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Figure 5. TRNSYS model for the central air conditioning system.
Figure 5. TRNSYS model for the central air conditioning system.
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Figure 6. Comparison of conventional water and PCM-10 FCU unit performances.
Figure 6. Comparison of conventional water and PCM-10 FCU unit performances.
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Figure 7. Indoor temperature comparison for the hottest week (20–26 July).
Figure 7. Indoor temperature comparison for the hottest week (20–26 July).
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Figure 8. Subentry of energy consumption for the summer period.
Figure 8. Subentry of energy consumption for the summer period.
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Table 1. Fin-and-tube coil data estimated from lab measurements.
Table 1. Fin-and-tube coil data estimated from lab measurements.
Parameter
Finned tube length 250 mm
Number of circuits 3
Distance between rows 22 mm
Number of tubes per circuit 9
Distance between columns 25 mm
Tube material Copper
Tube inner diameter D 9.3 mm
Tube wall thickness 0.35 mm
Fin material Aluminium
Fin thickness1 mm
Face area250 × 250
Table 2. TRNSYS input parameters for the validation study.
Table 2. TRNSYS input parameters for the validation study.
ParametersInputs
Air flow rate345 kg/h
Specific heat of the air1000 J/kgK
Inlet air temperature27 °C
PCE-10 flow rate130 kg/h
PCE-10 inlet temperature7 °C
Specific heat of PCE-10T < 4 °C3800 J/kgK
4 °C ≤ T≤11 °C8718 J/kgK
11 °C < T3800 J/kgK
UA 303 W/K
Table 3. Performance of the FCU with different cooling media, as obtained through experimental measurements.
Table 3. Performance of the FCU with different cooling media, as obtained through experimental measurements.
FCU with WaterFCU with PCME
Cooling capacity (kW)1.571.59
Air flow rate (kg/h)345345
Cooling media flow rate (kg/h)304130
Cooling media inlet temperature(°C)77
Cooling media outlet temperature(°C)12.312.7
Heat transfer coefficient (W/K)283303
Pressure drop (kPa)23.830.04
Table 4. Physical properties of the office room structures to be simulated.
Table 4. Physical properties of the office room structures to be simulated.
Interior WallExternal WallWindowFloorCeiling
ConstructionLight steel keel gypsum boardReinforced concrete wallSingle-glazed flat glassReinforced concrete wallReinforced concrete wall
Thickness (m)0.0080.30.0120.20.2
U-value
[W/(m2·K)]
1.781.185.510.7
Density (kg/m3)11004702580620620
Thermal conductivity [W/(m·K)]0.680.191.050.20.2
Heat capacitance [Wh/(m2·K)]2.85-44
Table 5. Technical data for primary equipment from TRNSYS 16.
Table 5. Technical data for primary equipment from TRNSYS 16.
Chiller
Model No.Carrier 19XR 742 kW/5.42 COP/VSD
Chilled water set point7 °C
Rated capacity742 kW
Rated COP5.42
Specific heat of chilled water4.19 kJ/kgK for water
8.7 kJ/kgK for PCE-10 at 4–12 °C
Specific heat of cooling water4.19 kJ/kgK
Cooling Tower
Model No.AEC cooling tower model FG2003
Design air flow rate5000 kg/h
Rated power4000 kJ/h (1.11 kW)
Pump
Overall Efficiency0.6
Motor efficiency0.9
Motor heat loss fraction1
Fan
Fan power (W)134
Motor efficiency0.8
Overall Efficiency0.6
Motor efficiency0.9
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Wang, Y.; Shao, J.; Darkwa, J.; Kokogiannakis, G. Dynamic Simulations of Phase-Change Emulsions in Cooling Systems. Buildings 2025, 15, 1873. https://doi.org/10.3390/buildings15111873

AMA Style

Wang Y, Shao J, Darkwa J, Kokogiannakis G. Dynamic Simulations of Phase-Change Emulsions in Cooling Systems. Buildings. 2025; 15(11):1873. https://doi.org/10.3390/buildings15111873

Chicago/Turabian Style

Wang, Yuting, Jingjing Shao, Jo Darkwa, and Georgios Kokogiannakis. 2025. "Dynamic Simulations of Phase-Change Emulsions in Cooling Systems" Buildings 15, no. 11: 1873. https://doi.org/10.3390/buildings15111873

APA Style

Wang, Y., Shao, J., Darkwa, J., & Kokogiannakis, G. (2025). Dynamic Simulations of Phase-Change Emulsions in Cooling Systems. Buildings, 15(11), 1873. https://doi.org/10.3390/buildings15111873

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