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Calculation of local heat transfer at refrigerant boiling in confined space

DOI: 10.17586/1606-4313-2021-20-2-79-87
UDC 536.24

Calculation of local heat transfer at refrigerant boiling in confined space

Apitsyna O.S., Aleksandr A. Malyshev, Olga S. Malinina, Arno Maxim D., Bubnov Kirill A., Victoria Yu. Zakharova

For citation: Apitsyna O.S., Malyshev A.A., Malinina O.S., Arno M.D., Bubnov K.A., Zakharova V.Yu. Calculation of local heat transfer at refrigerant boiling in confined space. Journal of International Academy of Refrigeration. 2021. No 2. p. 79-87. DOI: 10.17586/1606-4313-2021-20-2-79-87

Abstract
The main models of pool boiling are presented: the one for energetics by G. Kruzhilin and the one for refrigeration engineering by G. Danilova. General equations of heat transfer for forced motion of boiling liquid in confined space are presented: for calculating average heat transfer and for local heat exchange. Flow patterns of boiling liquids in confined space for various heat exchangers are demonstrated. Bubble boiling at the surface, convective component of forced motion, and convective evaporation are identified as the main components of heat exchange. Convective evaporation is the basis for heat transfer in annular flow which is the most characteristic for boiling in the channels of narrow flow area. Method by S. Kutateladze, associating the influence of bubble boiling with forced convection, and the Martinelli–Nelson model of separated flows, describing convective evaporation, are presented as the examples of evaluating the influence of various heat exchange mechanisms. Vapor voidage is identified as the main parameter influencing the character of heat exchange at convective evaporation. The most important methods of calculation based on the investigation of boiling in the tubes of more than 6 mm diameter have been analyzed. The comparison of experimental data on heat transfer at boiling in minichannel with the calculations using the popular models allowed identifying a certain peculiarity of heat-hydrodynamic processes in the channels of narrow flow area. When comparing the experimental results with the calculations according to the methods by Ogata, Sato, and Park methods only partial agreement between them is seen, which is probably due to the difference in heat transfer mechanisms in macro micro microchannels. A modification of the Shah model using true phase parameters allows 30-16% agreement between calculated and experimental data.

Keywords: heat transfer coefficient, average heat transfer, local heat exchange, the models of heat transfer at boiling in tubes, vapor voidage.

All references

1. Malyshev A.A., Mamchenko V.O., Kisser K.V. Plate heat exchangers in low-temperature engineering and biotechnological processes: a textbook. Saint Petersburg: ITMO University, 2016. 116 PP. (in Russian)

2. Danilova G.N., Bogdanov S.N., Ivanov O.P., et al. Heat exchangers of refrigeration plants. Leningrad, Mashinostroenie, 1986. 303 P. (in Russian)

3. Malyshev A.A., Malinina O.S., Kalimzhanov D.E., Sukhov P.S., Kuadio K.F. Comparative analysis of the calculation of heat transfer during in-channel boiling of refrigerants. Vestnik Mezhdunarodnoi akademii kholoda.2020. No1. p.34-39.

4. Martinelli R.C., Nelson D.B. Prediction of pressure drop during forced circulation boiling of water. Trans. ASME. 1948. v. 70. No 6. p. 695-720.

5. Chen J.С. Correlation for Boiling Heat Transfer to Saturated Liquids in Convective Flow. Ind. Eng. Chem. Process Des. Dev., 1966, v. 5, p. 322-339.

6. Shurshev V.F. Building a model of the heat transfer process when boiling a mixture of refrigerating agents inside a horizontal pipe. Mathematical methods in engineering and technology-MMTT-18. Proceedings of the XVIII International scientific conference. Kazan, 2005. Vol. 9. Pp.121-122. (in Russian)

7. Mezentseva N.N. features of boiling of non-azeotropic refrigerants in the evaporator of a steam compression heat pump. Collection of works of the all-Russian forum of scientific youth «EREL-2011». Yakutsk. 2011. Pp.113-115. (in Russian)

8. Koshelev S.V. Optimization of the mass speed of the refrigerant in the pipes of evaporators of ship installations. Operation of marine transport. 2017. No. 1. Pp. 55-64. (in Russian)

9. Yan C. et al. Research on the Flow Boiling Characteristics of Water in a Multi-Furcated Tree-Shaped Mini-Channel. Advanced Materials Research. 2013. Vol. 629. pp. 691-698.

10. Kuntha U. and T. Kiatsiriroat. Boiling Heat Transfer Coefficient of R22 refrigerant and its alternatives in horizontal tube: small refrigerator scale. Songklana Karis J. Sci. Technol. 2002. Vol. 24, No. 2, pp 243 – 253.

11. Zhou Z., X. Fang, D. Li. Review Article: Evaluation of Correlation of FlowBoiling Heat Transfer of R22 in Horizontal Chanels. The Scientific World Journal. 2013. Vol. 2013.

12. Kawahara A., Mansour M.H., Sadatomi M., Law W.Z., Kurihara H. and Kusumaningsih H. Characteristicsof Gas-Liquid Two-Phase Flows through a Sudden Contraction in Rectangular Microchannels. Experimental Thermal and Fluid Science. 2015. Vol. 66. Pp. 243-253.

13. Padilla M., Revellin R. and Bonjour J. Two-Phase Flow of HFO-1234yf, R-134a and R-410A in Sudden Contractions: Visualization, Pressure Drop Measurements and New Prediction Method. Experimental Thermal and Fluid Science. 2013. Vol. 47. Pp. 186-205.

14. Picchi D., Correra S. and Poesio P. Flow Pattern Transition, Pressure Gradient, Hold-Up Predictions in Gas/Non-Newtonian Power-Law Fluid Stratified Flow. International Journal of Multiphase Flow. 2014 Vol. 63, pp. 105-115.

15. Goto D., Santoso A., Takehira T., Aslam A., Kawahara A. and Sadatomi M. Pressure Drop for Gas and Non-Newtonian Liquid Two-Phase Flows Across Sudden Expansion in Horizontal Rectangular Mini-Channel. Journal of Mechanical Engineering and Automation. 2016. Vol. 6, pp 51-57

16. Malyshev A.A., Malinina O.S., Kouadio K.F., Shvetsov I.V. Analysis of methods for calculating intra-channel boiling heat transfer in refrigerants. IOP Conference Series: Materials Science and Engineering. 2020. Vol. 939, No. 1, pp. 012047.

17. Malyshev A.A., Kisser K.V., Zaytsev A.V. True parameters of boiling refrigerants in tubes and channels. Vestnik Mezhdunarodnoi akademii kholoda. 2017. No 2. p. 53-56. (in Russian)

18. Kuznetsov V.V. Heat and Mass Transfer with Phase Change and Chemical Reactions in Microscale. Proc. 14 Int. Heat Transfer Conf. Washington: ASME. 2010. Keynote 22570.

19. Kandlikar S.G. Similarities and Differences Between Flow Boiling in Microchannels and Pool Boiling. Heat Transfer Eng. 2010. Vol. 31, No. 3. Pp. 159-167.

20. Khovalyg D.M., Baranenko A.V. Two-phase flow dynamics during boiling of R134a refrigerant in minichannels. Technical Physics. 2015. Vol. 85. No 3. pp. 34-41.

21. Niño V.G., Hrnjak P.S. and Newell T.A. Characterization of Two-Phase Flow in Microchannels. ACRC TR-202, October 2002.

22. Mercado M., Wong N., Hartwig J. Assessment of two-phase heat transfer coefficient and critical heat flux correlations for cryogenic flow boiling in pipe heating experiments. International Journal of Heat and Mass Transfer. 2019. Vol. 133. pp. 295–315.

23. Park J.E., Vakili-Farahani F., Consolini L., Thome J.R. Experimental study on condensation heat transfer in vertical minichannels for new refrigerant R1234ze(E) versus R134a and R236fa. Exp. Therm. Fluid Sci. 2011. Vol. 35, pp. 442-454.

Eydeyus A.I., Nikishin M.Yu., Koshelev V.L. Heat transfer during boiling of a refrigerant in coil air coolers. Izvestiia Kaliningradskogo gosudarstvennogo tekhnicheskogo universiteta. 2013. No. 29. pp. 31-38.

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