An Improved Heat Transfer Prediction Model for Film Condensation inside a Tube with Interphacial Shear Effect
The analysis of heat transfer design methods in condensing inside plain tubes under existing influence of shear stress is presented in this paper. The existing discrepancy in more than 30-50% between rating heat transfer coefficients and experimental data has been noted. The analysis of existing theoretical and semi-empirical methods of heat transfer prediction is given. The influence of a precise definition concerning boundaries of phase flow (it is especially important in condensing inside horizontal tubes), shear stress (friction coefficient) and heat flux on design of heat transfer is shown. The substantiation of boundary conditions of the values of parameters, influencing accuracy of rated relationships, is given. More correct relationships for heat transfer prediction, which showed good convergence with experiments made by different authors, are substantiated in this work.
[1] W. Nusselt, “Die Oberflächenkondensation des Wasserdampfes,” Zeitschrift VDI, no. 60, pp. 541–546, 568–575, 1916.
[2] A.E. Dukler, “Fluid mechanics and heat transfer in falling film system,” Chem. Eng. Progress Symposium Series, vol. 30, no. 56, pp. 1–10, 1960.
[3] S. Bae, J. S. Maulbetsch, W. M. Rohsenow, Refrigerant forced-convection condensation inside horizontal tubes. Report No. DSR-79760-59. Massachusetts Institute of Technology, Cambridge, MA, 1968, pp. 79.
[4] S. Bae, J. S. Maulbetsch, W. M. Rohsenow, Refrigerant forced-convection condensation inside horizontal tubes. Report No. DSR-79760-64. Massachusetts Institute of Technology, Cambridge, MA, 1969, pp. 120.
[5] D. P. Traviss, A. B. Baron, W. M. Rohsenow, Forced-convection condensation inside tubes. Report No. DSR-72591-74. Massachusetts Institute of Technology, Cambridge, MA, 1971, pp. 105.
[6] P. G. Kosky, F. W. Staub, “Local condensing heat transfer coefficients in the annular flow regime,” AIChE Journal, vol. 17, no. 5, pp. 1037–1043, 1971.
[7] A. Nouri-Borujerdi, “Analitical modeling of convective condensation in smooth vertical tubes,” Scientia Iranica, vol. 8, no. 2, pp. 123–129, 2001.
[8] J. T. Kwon, Y. C. Ahn, H. M. Kim, “A modeling of in-tube condensation heat transfer for a turbulent annular film flow with liquid entrainment,” International Journal of Multiphase Flow, vol. 27, no. 5, pp. 911–928, 2001.
[9] E. P. Ananiev, L. D. Boyko, G. N. Kruzhilin, “Heat transfer in the presence of steam condensation in a horizontal tube,” International Heat Transfer Conference, no. 2, pp. 290–295, 1961.
[10] J. R. Thome, J. Hajal, A. Cavallini, “Condensation in horizontal tubes. Part 2: New heat transfer model based on flow regimes,” International Journal of Heat and Mass Transfer, vol. 46, no. 18, pp. 3365–3387, 2003.
[11] V. G. Rifert, V. V. Sereda, “Condensation inside smooth horizontal tubes: Part 1. Survey of the methods of heat-exchange prediction,” Scientific journal “Thermal Science”, vol. 19, no. 5, pp. 1769-1789, 2015.
[12] S. M. Kim, I. Mudawar, Theoretical model for annular flow condensation in rectangular micro-channels,” International Journal of Heat and Mass Transfer, vol. 55, no. 4, pp. 958-970, 2012.
[13] L. Wang, C. Dang, E. Hihara, “Experimental study on condensation heat transfer and pressure drop of low GWP refrigerant HFO1234yf in a horizontal tube,” International Journal of Refrigeration, vol. 35, no. 5, pp. 1418-1429, 2012.
[14] J. D. Berrichon, H. Louahlia-Gualous, Ph. Bandelier, N. Bariteau, “Experimental and theoretical investigations on condensation heat transfer at very low pressure to improve power plant efficiency,” Energy Conversion and Management, vol. 87, pp. 539-551, 2014.
[15] B. Panitapu, “Determination of condensation heat transfer coefficient inside a horizontal pipe at high pressure using experimental analysis,” International Journal of Current Engineering and Technology, vol. 5, no. 1, pp. 134-143, 2015.
[16] M. Macdonald, Condensation of pure hydrocarbons and zeotropic mixtures in smooth horizontal tubes. Doctoral dissertation, Georgia Institute of Technology, 2015.
[17] Md. A. Hossain, Hasan M. M. Afroz, Shaon Talukder, Akio Miyara, “Prediction of condensation heat transfer of low GWP refrigerants inside smooth horizontal tube,” AIP Conference Proceedings, vol. 1754, no. 1, pp. 050037, 2016.
[18] A. Cavallini et al., “Condensation inside and outside smooth and enhanced tubes – a review of recent research,” International Journal of Refrigeration, vol. 26, no. 4, pp. 373–392, 2003.
[19] V. G. Rifert, V. V. Sereda, “Improvement of the design model for condensation inside smooth tubes,” in Proc. 7th Baltic heat transfer conference, Tallinn, Estonia, 2015, pp. 143-149.
[20] V. G. Rifert, V.V. Sereda, P.O. Barabash, V.V. Gorin, “Condensation inside smooth horizontal tubes. Part 2. Improvement of heat exchange prediction,” Scientific journal “Thermal Science”, vol. 21, no. 3, pp. 1479-1489, 2017.
[21] O. A. Kabov, E. A. Chinnov, “Two-phase flows in pipes and capillary channels,” High Temperature, vol. 44, no. 5, pp. 773-791, 2006.
[22] L. D. Boyko, “Heat transfer during vapor condensation inside tubes (in Russian),” Heat Transfer in the Elements of Power Plants, pp. 197-212, 1966.
[23] J. H. Marcbant, “An electrical-resistance method of determining the mean surface temperature of tubes,” J. Appl. Mech., vol. 4, no. 1, 1937.
[24] D.I. Volkov, “A generalization of heat transfer experimental data during moving steam condensation inside horizontal pipes at low and medium velocities (In Russian)”, TsKTI Transactions, no. 101, 1970.
[25] V. P. Isachenko, Heat transfer during condensation (In Russian), Moscow, 1977, pp. 240.
[26] A. Cavallini et al., “Experimental investigation on condensation heat transfer and pressure drop of new refrigerants (R134a, R125, R32, R410A, R236ea) in a horizontal smooth tube,” International Journal of Refrigeration, vol. 24, no. 1, pp. 73–87, 2001.
[27] K. J. Park, D. Jung, T. Seo, “Flow condensation heat transfer characteristics of hydrocarbon refrigerants and dimethyl ether inside a horizontal plain tube,” Journal of Multiphase Flow, vol. 34, no. 7, pp. 628–635, 2008.
[28] Y. J. Kim, J. Jang, P. S. Hrnjak, M. S. Kim, “Condensation heat transfer of carbon dioxide inside horizontal smooth and microfin tubes at low temperature,” Journal of heat transfer ASME, vol. 131, no. 2, pp. 021501, 2009.
[29] V. P. Isachenko, F. Salomzoda, “The intensity and regimes of heat transfer with steam condensation in a vertical tube (In Russian),” Teploénergetika, vol. 15 no. 5, pp. 84-87, 1668.
[30] V. G. Rifert, “Heat transfer and flow modes of phases in laminar film vapor condensation inside a horizontal tube,” International journal of heat and mass transfer, vol. 31, no. 3, pp. 517–523, 1988.
[31] V. G. Rifert, P.O. Barabash, V.V. Gorin, V.V. Sereda, “Condensation heat transfer inside a horizontal smooth tubes. Improvement of heat transfer calculating method (In Russian),” Refrigeration engineering and f, vol. 51, no. 6, pp. 26-34, 2015
[32] H. M. Afroz, A. Miyara, K. Tsubaki, “Heat transfer coefficients and pressure drops during in-tube condensation of CO2/DME mixture refrigerant,” International Journal of Refrigeration, vol. 31, no. 8, pp. 1458-1466, 2008.
[33] R. B. Kinney, E. M. Sparrow, “Turbulent flow, heat transfer and mass transfer in a tube with surface suction,” ASME Journal of Heat Transfer, vol. 92, no. 1, pp. 121-131, 1970.
[34] M. Soliman, J. R. Schuster, P. J. Berenson, “A general heat transfer correlation for annular flow condensation,” ASME Journal of Heat Transfer, vol. 90, no. 2, 1968.
[35] J. T. Kwon, Y. C. Ahn, H. M. Kim, “A modeling of in-tube condensation heat transfer for a turbulent annular film flow with liquid entrainment,” International Journal of Multiphase Flow, vol. 27, no. 5, pp. 911–928, 2001.
[36] O. Agra, I. Teke, “Determination of heat transfer coefficient during anular flow condensation in smooth horizontal tubes,” Journal of Thermal Science and Technology, vol. 32, no. 2, pp. 151-159, 2012.
[37] L. Friedel, “Pressure-drop during gas-vapor-liquid flow in pipes,” Chemie Ingenieur Technik, vol. 50, no. 3, pp. 167-180, 1978.
[38] S. N. Sapali, P. A. Patil, “Heat transfer during condensation of HFC-134a and R-404A inside of a horizontal smooth and micro-fin tube,” Experimental Thermal and Fluid Science, vol. 34, no.8, pp. 1133-1141, 2010.
[39] G. Ghim, J. Lee, “Condensation heat transfer of low GWP ORC working fluids in a horizontal smooth tube,” International Journal of Heat and Mass Transfer vol. 104, no. 1, pp. 718-728, 2017.
[40] H. Jaster, P. G. Kosky, “Condensation in a mixed flow regime,” International Journal of Heat and Mass Transfer, vol. 19, no. 1, pp. 95–99, 1976.
[41] H. Lee, I. Mudawar, M. Hasan, “Flow condensation in horizontal tubes,” International Journal of Heat and Mass Transfer, vol. 66, no. 1, pp. 31–45, 2013.
[42] J. H. Royal, Augmentation of horizontal in-tube condensation of steam. PhD dissertation, Iowa State University, pp. 386, 1975.
[43] P. Kang, J. Heo, R. Yun, “Condensation heat transfer characteristics of CO2 in a horizontal smooth tube,” International Journal of Refrigeration, vol. 36, no. 3, pp. 1090-1097, 2013.
[44] V. V. Тreputnev, Investigation of heat transfer and hydraulic resistance during steam condensation in smooth and profiled tubes (in Russian). PhD dissertation, State Research Energy Institute of G.M. Krzhizhanovsky, Moscow, Russia, pp. 183, 1979.
[1] W. Nusselt, “Die Oberflächenkondensation des Wasserdampfes,” Zeitschrift VDI, no. 60, pp. 541–546, 568–575, 1916.
[2] A.E. Dukler, “Fluid mechanics and heat transfer in falling film system,” Chem. Eng. Progress Symposium Series, vol. 30, no. 56, pp. 1–10, 1960.
[3] S. Bae, J. S. Maulbetsch, W. M. Rohsenow, Refrigerant forced-convection condensation inside horizontal tubes. Report No. DSR-79760-59. Massachusetts Institute of Technology, Cambridge, MA, 1968, pp. 79.
[4] S. Bae, J. S. Maulbetsch, W. M. Rohsenow, Refrigerant forced-convection condensation inside horizontal tubes. Report No. DSR-79760-64. Massachusetts Institute of Technology, Cambridge, MA, 1969, pp. 120.
[5] D. P. Traviss, A. B. Baron, W. M. Rohsenow, Forced-convection condensation inside tubes. Report No. DSR-72591-74. Massachusetts Institute of Technology, Cambridge, MA, 1971, pp. 105.
[6] P. G. Kosky, F. W. Staub, “Local condensing heat transfer coefficients in the annular flow regime,” AIChE Journal, vol. 17, no. 5, pp. 1037–1043, 1971.
[7] A. Nouri-Borujerdi, “Analitical modeling of convective condensation in smooth vertical tubes,” Scientia Iranica, vol. 8, no. 2, pp. 123–129, 2001.
[8] J. T. Kwon, Y. C. Ahn, H. M. Kim, “A modeling of in-tube condensation heat transfer for a turbulent annular film flow with liquid entrainment,” International Journal of Multiphase Flow, vol. 27, no. 5, pp. 911–928, 2001.
[9] E. P. Ananiev, L. D. Boyko, G. N. Kruzhilin, “Heat transfer in the presence of steam condensation in a horizontal tube,” International Heat Transfer Conference, no. 2, pp. 290–295, 1961.
[10] J. R. Thome, J. Hajal, A. Cavallini, “Condensation in horizontal tubes. Part 2: New heat transfer model based on flow regimes,” International Journal of Heat and Mass Transfer, vol. 46, no. 18, pp. 3365–3387, 2003.
[11] V. G. Rifert, V. V. Sereda, “Condensation inside smooth horizontal tubes: Part 1. Survey of the methods of heat-exchange prediction,” Scientific journal “Thermal Science”, vol. 19, no. 5, pp. 1769-1789, 2015.
[12] S. M. Kim, I. Mudawar, Theoretical model for annular flow condensation in rectangular micro-channels,” International Journal of Heat and Mass Transfer, vol. 55, no. 4, pp. 958-970, 2012.
[13] L. Wang, C. Dang, E. Hihara, “Experimental study on condensation heat transfer and pressure drop of low GWP refrigerant HFO1234yf in a horizontal tube,” International Journal of Refrigeration, vol. 35, no. 5, pp. 1418-1429, 2012.
[14] J. D. Berrichon, H. Louahlia-Gualous, Ph. Bandelier, N. Bariteau, “Experimental and theoretical investigations on condensation heat transfer at very low pressure to improve power plant efficiency,” Energy Conversion and Management, vol. 87, pp. 539-551, 2014.
[15] B. Panitapu, “Determination of condensation heat transfer coefficient inside a horizontal pipe at high pressure using experimental analysis,” International Journal of Current Engineering and Technology, vol. 5, no. 1, pp. 134-143, 2015.
[16] M. Macdonald, Condensation of pure hydrocarbons and zeotropic mixtures in smooth horizontal tubes. Doctoral dissertation, Georgia Institute of Technology, 2015.
[17] Md. A. Hossain, Hasan M. M. Afroz, Shaon Talukder, Akio Miyara, “Prediction of condensation heat transfer of low GWP refrigerants inside smooth horizontal tube,” AIP Conference Proceedings, vol. 1754, no. 1, pp. 050037, 2016.
[18] A. Cavallini et al., “Condensation inside and outside smooth and enhanced tubes – a review of recent research,” International Journal of Refrigeration, vol. 26, no. 4, pp. 373–392, 2003.
[19] V. G. Rifert, V. V. Sereda, “Improvement of the design model for condensation inside smooth tubes,” in Proc. 7th Baltic heat transfer conference, Tallinn, Estonia, 2015, pp. 143-149.
[20] V. G. Rifert, V.V. Sereda, P.O. Barabash, V.V. Gorin, “Condensation inside smooth horizontal tubes. Part 2. Improvement of heat exchange prediction,” Scientific journal “Thermal Science”, vol. 21, no. 3, pp. 1479-1489, 2017.
[21] O. A. Kabov, E. A. Chinnov, “Two-phase flows in pipes and capillary channels,” High Temperature, vol. 44, no. 5, pp. 773-791, 2006.
[22] L. D. Boyko, “Heat transfer during vapor condensation inside tubes (in Russian),” Heat Transfer in the Elements of Power Plants, pp. 197-212, 1966.
[23] J. H. Marcbant, “An electrical-resistance method of determining the mean surface temperature of tubes,” J. Appl. Mech., vol. 4, no. 1, 1937.
[24] D.I. Volkov, “A generalization of heat transfer experimental data during moving steam condensation inside horizontal pipes at low and medium velocities (In Russian)”, TsKTI Transactions, no. 101, 1970.
[25] V. P. Isachenko, Heat transfer during condensation (In Russian), Moscow, 1977, pp. 240.
[26] A. Cavallini et al., “Experimental investigation on condensation heat transfer and pressure drop of new refrigerants (R134a, R125, R32, R410A, R236ea) in a horizontal smooth tube,” International Journal of Refrigeration, vol. 24, no. 1, pp. 73–87, 2001.
[27] K. J. Park, D. Jung, T. Seo, “Flow condensation heat transfer characteristics of hydrocarbon refrigerants and dimethyl ether inside a horizontal plain tube,” Journal of Multiphase Flow, vol. 34, no. 7, pp. 628–635, 2008.
[28] Y. J. Kim, J. Jang, P. S. Hrnjak, M. S. Kim, “Condensation heat transfer of carbon dioxide inside horizontal smooth and microfin tubes at low temperature,” Journal of heat transfer ASME, vol. 131, no. 2, pp. 021501, 2009.
[29] V. P. Isachenko, F. Salomzoda, “The intensity and regimes of heat transfer with steam condensation in a vertical tube (In Russian),” Teploénergetika, vol. 15 no. 5, pp. 84-87, 1668.
[30] V. G. Rifert, “Heat transfer and flow modes of phases in laminar film vapor condensation inside a horizontal tube,” International journal of heat and mass transfer, vol. 31, no. 3, pp. 517–523, 1988.
[31] V. G. Rifert, P.O. Barabash, V.V. Gorin, V.V. Sereda, “Condensation heat transfer inside a horizontal smooth tubes. Improvement of heat transfer calculating method (In Russian),” Refrigeration engineering and f, vol. 51, no. 6, pp. 26-34, 2015
[32] H. M. Afroz, A. Miyara, K. Tsubaki, “Heat transfer coefficients and pressure drops during in-tube condensation of CO2/DME mixture refrigerant,” International Journal of Refrigeration, vol. 31, no. 8, pp. 1458-1466, 2008.
[33] R. B. Kinney, E. M. Sparrow, “Turbulent flow, heat transfer and mass transfer in a tube with surface suction,” ASME Journal of Heat Transfer, vol. 92, no. 1, pp. 121-131, 1970.
[34] M. Soliman, J. R. Schuster, P. J. Berenson, “A general heat transfer correlation for annular flow condensation,” ASME Journal of Heat Transfer, vol. 90, no. 2, 1968.
[35] J. T. Kwon, Y. C. Ahn, H. M. Kim, “A modeling of in-tube condensation heat transfer for a turbulent annular film flow with liquid entrainment,” International Journal of Multiphase Flow, vol. 27, no. 5, pp. 911–928, 2001.
[36] O. Agra, I. Teke, “Determination of heat transfer coefficient during anular flow condensation in smooth horizontal tubes,” Journal of Thermal Science and Technology, vol. 32, no. 2, pp. 151-159, 2012.
[37] L. Friedel, “Pressure-drop during gas-vapor-liquid flow in pipes,” Chemie Ingenieur Technik, vol. 50, no. 3, pp. 167-180, 1978.
[38] S. N. Sapali, P. A. Patil, “Heat transfer during condensation of HFC-134a and R-404A inside of a horizontal smooth and micro-fin tube,” Experimental Thermal and Fluid Science, vol. 34, no.8, pp. 1133-1141, 2010.
[39] G. Ghim, J. Lee, “Condensation heat transfer of low GWP ORC working fluids in a horizontal smooth tube,” International Journal of Heat and Mass Transfer vol. 104, no. 1, pp. 718-728, 2017.
[40] H. Jaster, P. G. Kosky, “Condensation in a mixed flow regime,” International Journal of Heat and Mass Transfer, vol. 19, no. 1, pp. 95–99, 1976.
[41] H. Lee, I. Mudawar, M. Hasan, “Flow condensation in horizontal tubes,” International Journal of Heat and Mass Transfer, vol. 66, no. 1, pp. 31–45, 2013.
[42] J. H. Royal, Augmentation of horizontal in-tube condensation of steam. PhD dissertation, Iowa State University, pp. 386, 1975.
[43] P. Kang, J. Heo, R. Yun, “Condensation heat transfer characteristics of CO2 in a horizontal smooth tube,” International Journal of Refrigeration, vol. 36, no. 3, pp. 1090-1097, 2013.
[44] V. V. Тreputnev, Investigation of heat transfer and hydraulic resistance during steam condensation in smooth and profiled tubes (in Russian). PhD dissertation, State Research Energy Institute of G.M. Krzhizhanovsky, Moscow, Russia, pp. 183, 1979.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:76061", author = "V. G. Rifert and V. V. Gorin and V. V. Sereda and V. V. Treputnev", title = "An Improved Heat Transfer Prediction Model for Film Condensation inside a Tube with Interphacial Shear Effect", abstract = "The analysis of heat transfer design methods in condensing inside plain tubes under existing influence of shear stress is presented in this paper. The existing discrepancy in more than 30-50% between rating heat transfer coefficients and experimental data has been noted. The analysis of existing theoretical and semi-empirical methods of heat transfer prediction is given. The influence of a precise definition concerning boundaries of phase flow (it is especially important in condensing inside horizontal tubes), shear stress (friction coefficient) and heat flux on design of heat transfer is shown. The substantiation of boundary conditions of the values of parameters, influencing accuracy of rated relationships, is given. More correct relationships for heat transfer prediction, which showed good convergence with experiments made by different authors, are substantiated in this work.
", keywords = "Film condensation, heat transfer, plain tube, shear stress.", volume = "11", number = "8", pages = "1420-10", }
