Abstract
In a microgravity environment, the flow pattern, flow characteristics, and heat transfer characteristics of gas–liquid two-phase flow are different from those in a normal gravity environment. To study the influence of microgravity on the flow and heat-transfer characteristics in an evaporator, this study develops a flow and heat-transfer model in an evaporator based on a previously proposed microgravity solution where the refrigerant and lubricating oil are mixed. This work also examines the flow and heat-transfer characteristics of gas–liquid two-phase flow in an evaporator with gravity of 10–6-10−3 g and studies the influence of lubricating-oil content on the flow and heat-transfer characteristics of mixed two-phase flow in the evaporator. The results show that when gravity is equal to 10−3 g, the gas volume fraction at the outlet is between 0.6 and 0.7, and when gravity is decreased to 10–6 g, the gas volume fraction at the outlet of the evaporator, after gradually decreasing, comes close to a zero gravity-state. In addition, the gas volume fraction remains between 0.3 and 0.6. It can also be seen that when gravity increases, the heat-transfer coefficient increases nearly linearly and reaches a maximum value of 14.013 W/(m2·K) and 16.066 W/(m2·K) when the lubricating oil content is 2% for normal gravity, and 4.443 W/(m2·K) and 5.519 W/(m2·K) when the lubricating oil content is 2.5% for microgravity.
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Abbreviations
- \(\beta\) :
-
Adjustment coefficient
- \(\mu\) :
-
Viscosity
- \({\rho }_{\text{l}}\) :
-
Density of saturated refrigerant liquid, kg/m3
- \({\rho }_{\text{v}}\) :
-
Density of saturated refrigerant vapor, kg/m3
- \(\Omega\) :
-
The characteristic eddy current number
- \({A}_{\text{c}}\) :
-
The cross-sectional area of the evaporator flow channel, mm
- \({\alpha }_{\upvarepsilon }\) :
-
ε-Equation turbulent Prandtl number
- \({\alpha }_{\text{k}}\) :
-
k-Equation turbulent Prandtl number
- \({\alpha }_{\text{s}}\) :
-
Eddy current constant
- \({\alpha }_{\text{v}}\) :
-
Volume fraction of the steam
- \(coeff\) :
-
Relaxation coefficient
- \(d\) :
-
Equivalent diameter, mm
- \({d}_{\text{p}}\) :
-
Particle diameter, mm
- \(f\) :
-
The Darcy resistance coefficient of turbulent flow in the tube
- \(G\) :
-
Refrigerant mass flow rate
- \({G}_{\text{b}}\) :
-
The turbulent kinetic energy generated by buoyancy
- \({G}_{\text{k}}\) :
-
The turbulent kinetic energy generated by the velocity gradient
- \({h}_{\text{ i}}\) :
-
The evaporation heat transfer coefficient of the refrigerant side in the tube
- \({k}_{\text{l,ref}}\) :
-
Liquid thermal conductivity of saturated refrigerant
- \(L\) :
-
The latent heat of phase change, J/kg
- \(L\) :
-
The wet circumference of the evaporator flow channel, mm
- \(l\) :
-
Supervisor length, mm
- \({\dot{m}}_{\text{ lv}}\) :
-
The evaporation mass transfer rate
- \(P\) :
-
Pressure, Pa
- \({P}^{*}\) :
-
The steam partial pressure at the steam-side interface, Pa
- \({\mathrm{Pr}}_{\text{f}}\) :
-
The Prandtl numbers of the refrigerant liquid at the average temperature
- \({\mathrm{Pr}}_{\text{w}}\) :
-
The Prandtl numbers of the refrigerant liquid at the wall temperature
- \(R\) :
-
The universal gas constant
- \(\mathrm{Re}\) :
-
The Reynolds number
- \({\mathrm{Re}}_{\text{l}}\) :
-
The Reynolds numbers of the liquid refrigerant
- \({\mathrm{Re}}_{\text{v}}\) :
-
The Reynolds numbers of the gaseous refrigerant
- \(T\) :
-
Temperature, K
- \(f\) :
-
The Darcy resistance coefficient of turbulent flow in the tube
- \({T}_{\text{f}}\) :
-
The refrigerant liquid temperature, K
- \({T}_{\text{sat}}\) :
-
The saturation temperature of the working fluid, K
- \({T}_{\text{w}}\) :
-
The evaporator wall temperature, K
- \({\overrightarrow{v}}_{\text{v}}\) :
-
The gas-phase velocity
- \(x\) :
-
The average dryness of the inlet and outlet refrigerants
- \({Y}_{\text{M}}\) :
-
The fluctuation caused by excessive diffusion in compressible turbulence
References
Beck, P.E., Brendel, L.P., Braun, J.E., Groll, E.A.: Investigation of two-phase refrigerant behavior upon cycle startup for compressor protection in microgravity applications. In: Proceedings of the 18th International Refrigeration and Air Conditioning Conference, Purdue (2021)
Belyavskii, A.E.: Outer loop structure of a spacecraft thermal control system with heat stores. Russ. Eng. Res. 42(1), 60–62 (2022). https://doi.org/10.3103/S1068798X2201004X
Brendel, L.P.M., Caskey, S.L., Ewert, M.K., Hengeveld, D., Braun, J.E., Groll, E.A.: Review of vapor compression refrigeration in microgravity environments. Int. J. Refrig. 123, 169–179 (2021). https://doi.org/10.1016/j.ijrefrig.2020.10.006
Brendel, L.P.M., Caskey, S.L., Braun, J.E., Groll, E.A.: Effect of orientation on the steady-state performance of vapor compression cycles. Appl. Therm. Eng. 207, 118174 (2022). https://doi.org/10.1016/j.applthermaleng.2022.118174
Brendel, L.P.M., Caskey, S.L., Braun, J.E., Groll, E.A.: Vapor compression refrigeration testing on parabolic flights: part 2 - heat exchanger performance. Int. J. Refrig. 135, 254–260 (2022). https://doi.org/10.1016/j.ijrefrig.2021.12.013
Chen, Y., Feng, D., Miao, J., Zhang, H., Feng, Y., Liu, C.: Investigation of the thermal characteristics of a flat bifacial evaporator loop heat pipe. Heat Transf. Eng. 43(13), 1097–1107 (2022). https://doi.org/10.1080/01457632.2021.1943837
Gibb, P., Randles, S., Millington, M., Whittaker, A.: Lubricants for sustainable cooling. In: Proceedings of the 2003 CIBSE/ASHRAE Conference, Edingburgh (2003)
Ginwala, K.: Engineering study of vapor cycle cooling equipment for zero-gravityenvironment. Technical report No. TR 60–776, Wright-Patterson Air Force Base, Dayton, OH (1961)
Gorbenko, G.A., Gakal, P.G., Turna, R.Y., Hodunov, A.M., Reshytov, E.R.: Heat transfer in evaporator of thermal sink in presence of subcooled boiling section. Int. J. Heat. Technol. 39(2), 375–382 (2021). https://doi.org/10.18280/ijht.390206
Hodunov, A., Gorbenko, G., Gakal, P.: The calculation of the heat control accumulator volume of two-phase heat transfer loop of a spacecraft thermal control system. Aerosp. Tech. Technol. 5, 15–23 (2021). https://doi.org/10.32620/aktt.2021.5.02
Kabir, M., Gemeda, T., Preller, E., Xu, J.: Design and development of a PCM-based two-phase heat exchanger manufactured additively for spacecraft thermal management systems. Int. J. Heat Mass Transf. 180, 121782 (2021). https://doi.org/10.1016/j.ijheatmasstransfer.2021.121782
Kuang, Y., Wang, W., Miao, J., Yu, X.G., Zhang, H.: Pressure drop instability analysis in mini-channel evaporators under different magnitudes of gravity. Int. J. Therm. Sci. 147, 105952 (2020). https://doi.org/10.1016/j.ijthermalsci.2019.05.008
Ma, R.: Study on microgravity adaptability of aerospace vapor compression heat pump system. PhD thesis, Beijing University of Technology (2018)
Ma, R., Ma, X., Ye, Y., Wu, Y.: Comparison of the mixed flow and heat transfer characteristics in the evaporator of a vapor compression heat pump in normal gravity and microgravity. Int. J. Heat. Mass. Transf. 172, 121170 (2021a). https://doi.org/10.1016/j.ijheatmasstransfer.2021.121170
Ma, X., Ma, R., Ye, Y., Yan, S., Wang, F., Wu, Y.: Environmental tests of vapor compression heat pump for space applications. Therm. Sci. 25(5B), 3923–3932 (2021b). https://doi.org/10.2298/TSCI200713240M
Meng, Q., Yu, F., Zhao, Y., Zhao, Z.: On-orbit test and analyses of operating performances for mechanically pumped two-phase loop in microgravity environment. Microgravity Sci. Technol. 34(3), 45 (2022). https://doi.org/10.1007/s12217-022-09966-z
Meng, Q., Chen, X., Nian, Y., Cheng, W., Zhao, Z.: Experimental study on the transient behaviors of mechanically pumped two-phase loop with a phase change energy storage device for short time and large heat power dissipation of spacecraft. Heat Transf. Eng. (2023). https://doi.org/10.1080/01457632.2022.2164677
Skipworth, A., Caskey, S.L., Brendel, L., Gomes, A., Chhajed, R., Phalak, S., Groll, E.A.: Zero gravity effects on vapor compression cycle performance for cold food storage with oil-free scroll compression. In: Proceedings of the Thermal & Fluids Analysis Workshop (TFAWS), Virtual (2021)
Xia, G., Lv, Y., Cheng, L., Ma, D., Jia, Y.: Experimental study and dynamic simulation of the continuous two-phase instable boiling in multiple parallel microchannels. Int. J. Heat Mass Transf. 138, 961–984 (2019). https://doi.org/10.1016/j.ijheatmasstransfer.2019.04.124
Yang, T., Zhao, S., Gao, T., Zhao, Z., Zhang, P.: Effects of external heat flux during orbital period of spacecraft on operating characteristics of loop heat pipe. J. Phys. Conf. Ser. 1820(1), 012089 (2021). https://doi.org/10.1088/1742-6596/1820/1/012089
Yang, Z., Zhang, Y., Bai, L., Zhang, H., Lin, G.: Experimental study on the thermal performance of an ammonia loop heat pipe using a rectangular evaporator with longitudinal replenishment. Appl. Therm. Eng. 207, 118199 (2022). https://doi.org/10.1016/j.applthermaleng.2022.118199
Ye, Y., Ma, R., Ning, Y., Wu, Y.: Simulation of refrigerant-lubricant two-phase flow characteristics and performance test in space compressor. Appl. Therm. Eng. 224, 120105 (2023). https://doi.org/10.1016/j.applthermaleng.2023.120105
Yun, J., Tarau, C., Van Velson, N.: Vapor chamber with phase change material-based wick. In: Proceedings of the 46th International Conference on Environmental Systems, Vienna (2016)
Zhang, X., Li, Z.: Research progress on the effect of lubricating oil on heat transfer performance of refrigeration system. In: Proceedings of the Shanghai Society of Refrigeration 2013 Annual Academic Conference, pp. 186–191. Shanghai Society of Refrigeration, Shanghai (2013)
Funding
This work is supported by the National Natural Science Foundation of China (Grant No. 51906116), Inner Mongolia Autonomous Region Science and Technology Plan Project (Grant No. 2021GG0253), Inner Mongolia Autonomous Region Science and Technology Plan Project (Grant No. 2021ZD0036), Nature Science Foundation of Inner Mongolia (Grant No. 2019BS05007), and Nature Science Foundation of School (Grant No. BS201918).
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Rui Ma collected, analyzed, and interpreted data, and wrote the manuscript. Jiamin Guo collected data and organized experimentation. Yilin Ye and Yuting Wu conceived of the experiments, oversaw experimentation, and edited and approved the manuscript.
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Ma, R., Guo, J., Ye, Y. et al. Study on the Influence of the Microgravity on the Flow and Heat Transfer Characteristics of Gas–Liquid Two-Phase Flow in Evaporator. Microgravity Sci. Technol. 35, 60 (2023). https://doi.org/10.1007/s12217-023-10084-7
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DOI: https://doi.org/10.1007/s12217-023-10084-7