Abstract
Condensers represent an indispensable part of equipment of any power, chemical-technological, cryogenic, refrigeration and other installations used in industry. Reducing the weight, dimensions and cost of devices is always an urgent task. The process of condensation in real devices is a very complex phenomenon. The intensity of energy transfer from vapor to a solid cooled wall is determined, other things being equal, by three interrelated factors: (i) variable irrigation density and change in film flow hydrodynamics as the irrigation density changes, (ii) variable vapor velocity affecting a condensate film in the varying film and vapor flow regimes, and (iii) effect of the diffusion process on heat transfer during condensation of vapor with non-condensable impurities. The authors consider that they have to describe the issues that are poorly covered in the literature, although these issues are of fundamental importance for understanding the process under study. In this paper, the main factors that determine heat transfer during stationary vapor condensation on horizontal tube bundles are considered. An algorithm for calculating a condenser at film condensation of stationary vapor without non-condensable impurities is proposed. A critical analysis of modern experimental studies on heat transfer during condensation has been carried out.
REFERENCES
Joule, J.P., On the Surface-Condensation Steam, Philos. Trans. Royal Soc. London, 1861, vol. 151, pp. 133–160.
Short, B.E. and Brown, H.E., Condensation of Vapor on Vertical Banks of Horizontal Tubes, Proc. Inst. Mech. Eng., General Discussion on Heat Transfer, 27, 1951, vol. 31.
Bromley, L.A., Effect of Heat Capacity of Condensate, Ind. Eng. Chem., 1952, vol. 44, no. 12, pp. 2966–2969.
Shekriladze, I.G. and Gomelauri, V.I., Theoretical Study of Laminar Film Condensation of Flowing Vapour, Int. J. Heat Mass Transfer, 1966, vol. 9, no. 6, 581–591; https://doi.org/10.1016/0017-9310(66)90092-5
Fujii, T., Uehara, H., and Kurata, Ch., Laminar Filmwise Condensation of Flowing Vapour on a Horizontal Cylinder, Int. J. Heat Mass Transfer, 1972, vol. 15, no. 2, pp. 235–246; https://doi.org/10.1016/0017-9310(72)90071-3
Fujii, T., Uehara, H., Hirata, K., and Oda, K., Heat Transfer and Flow Resistance in Condensation of Low Pressure Steam Flowing through Tube Banks, Int. J. Heat Mass Transfer, 1972, vol. 15, no. 2, pp. 247–260; https://doi.org/10.1016/0017-9310(72)90072-5
Sukhatme, S.P., Jagadish, B.S., and Prabhakaran, P., Film Condensation of R-11 Vapour on Single Horizontal Enhanced Condenser Tubes, ASME J. Heat Transfer, 1990, vol. 112, no. 1, pp. 229–234; https://doi.org/10.1115/1.2910350
Sreepathi, L.K., Bapat, S.L., and Sukhatme S.P., Heat Transfer during Film Condensation of R-123 Vapour on Horizontal Integral-Fin Tubes, J. Enhanced Heat Transfer, 1996, vol. 3, no. 2, pp. 147–164; https://doi.org/10.1615/JEnhHeatTransferv3.i2.70
Kumar, R., Varma, H.K., Mohanty, B., and Agrawal, K.N., Augmentation of Outside Tube Heat Transfer Coefficient during Condensation of Steam over Horizontal Copper Tubes, Int. Comm. Heat Mass Transfer, 1998, vol. 25, no. 1, pp. 81–91; https://doi.org/10.1016/S0735-1933(97)00139-5
McNeil, D.A., Burnside, B.M., and Cuthbertson, G., A Comparison between a Small In-Line and a Staggered Tube Bank Condensing Steam Filmwise at Low Pressures, Exp. Thermal Fluid Sci., 2001, vol. 25, nos. 3/4, pp. 113–123; https://doi.org/10.1016/S0894-1777(01)00085-1
Burnside, B.M., Cuthbertson, G., and McNeil, D.A., Pressure Drop Measurements in Condensing Steam over a Horizontal Bundle of Staggered Tubes, Int. J. Therm. Sci., 2001, vol. 40, no. 10, pp. 917–926; https://doi.org/10.1016/S1290-0729(01)01278-9
Eckels, S.J., Effects of Inundation and Miscible Oil upon Condensation Heat Transfer Performance of R-134a, ASHRAE Rep., 2002, vol. 984.
Browne, M.W. and Bansal, P.K., An Overview of Condensation Heat Transfer on Horizontal Tube Bundles, Appl. Thermal Eng., 1999, vol. 19, no. 6, pp. 565–594; https://doi.org/10.1016/S1359-4311(98)00055-6
Cavallini, A., Censi, G., Del Col, D., Doretti, L., Longo, G.A., Rossetto, L., and Zilio, C., Condensation inside and outside Smooth and Enhanced Tubes—A Review of Recent Research, Int. J. Refr., 2003, vol. 26, no. 4, pp. 373–392; https://doi.org/10.1016/S0140-7007(02)00150-0
Miyara, A., Condensation of Hydrocarbons—A Review, Int. J. Refr., 2008, vol. 31, no. 4, pp. 621–632; https://doi.org/10.1016/j.ijrefrig.2007.12.003
Bonneau, C., Josset, C., Melot, V., and Auvity, B., Comprehensive Review of Pure Vapour Condensation outside of Horizontal Smooth Tubes, Nuclear Eng. Design, 2019, vol. 349, pp. 92–108; https://doi.org/10.1016/j.nucengdes.2019.04.005
Cuthbertson, G., An Experimental Investigation of Dropwise and Filmwise Condensation of Low Pressure Steam in Tube Banks, Doctoral dissertation, Heriot-Watt University, 1999, vols. 1/2.
Gstöhl, D., Heat Transfer and Flow Visualization of Falling Film Condensation on Tube Arrays with Plain and Enhanced Surfaces, Thesis. EPFL, 2004.
Butterworth, D., Inundation without Vapour Shear, in Power Condenser Heat Transfer Technology: Computer Modeling, Design, Fouling, Hemisphere Publ., 1981. pp. 271–277.
Butterworth, D., Application of the Models to Bundles of Horizontal Tubes, in Heat Exchanger Design Handbook, Hemisphere Publ., 1983, vol. 2, pp. 10–12.
Kedzierski, M., Chato, J., and Rabas, T., Condensation, in Handbook of Heat Transfer, Wiley, 2003.
Bejan, A., Fundamental Principles, in Convection Heat Transfer, 3d ed., Wiley, 2004, pp. 1–29.
Isachenko, V.P., Teploobmen pri kondensatsii (Heat Transfer in Condensation), Moscow: Energiya, 1977.
Krektunov, O.P. and Savus, A.S., Processy‘ kondensatsii i kondensatory maslozhirovogo proizvodstva (Processes of Condensation and Condensers of Oil and Fat Production), Firsova E.P., Ed., St. Petersburg, 1998.
Milman, O.O. and Fedirov, V.A. Kondensatory paroturbinnykh ustanovok (Air Condensing Units), Moscow: MEI, 2002.
Gogonin, I.I., Issledovanie teploobmena pri plenochnoi kondensatsii para (Investigation of Heat Transfer during Film Condensation of Vapor), Novosibirsk: SB RAS, 2015.
Standards for Steam Surface Condensers, 11th ed., Cleveland: Heat Exchange Institute, 2012.
Nusselt, W., Die Oberfluchenkondensation des Wasserdampfes, VDI-Zc, vol. 60, 1916.
Brauer, H., Stromung and Warmeubergang bei Rieselfilmen, VDI Forschungself, vol. 457 (1956), B22.
Kholostykh, V.I., Blyakher, I.G., and Shekhtman, A.A., Flow of a Liquid Film along a Vertical Surface, J. Eng. Phys. Thermophys., 1972, vol. 22, no. 3, pp. 348–351; https://doi.org/10.1007/BF00829469
Alekseenko, S.V., Nakoryakov, V.E., and Pokusaev, B.G., Wave Flow of Liquid Films, New York: Begell House, 1994.
Kutateladze, S.S. and Nakoryakov, V.E., Teplomassoobmen i volny v gazozhidkostnykh sistemakh (Heat and Mass Transfer and Waves in Gas-Liquid Systems), Novosibirsk: Nauka, 1984.
Colburn, A.P., Calculation of Condensation with a Portion of Condensate Layer in Turbulent Motion, Ind. Eng. Chem., 1934, vol. 26, no. 4, pp. 432–434; https://doi.org/10.1021/ie50292a016
Berman, L.D., et al., Heat Transfer during Film Condensation of Steam on Transversely Streamlined Horizontal Pipes, in Konvektivnaya teploperedacha v dvukhfaznom i odnofaznom potokakh (Convective Heat Transfer in Two-Phase and Single-Phase Flows), Borishansky, V.M. and Paleyev, I.I., Eds., Moscow: Energia, 1964, pp. 7–53.
Gogonin, I.I. and Kataev, A.I., Methodological Errors in Experimental Studies of Heat Transfer during Condensation, Thermal Eng., 2000, vol. 12, pp. 48–53.
Gogonin, I.I., Sosunov, V.I., and Kataev, A.I., Heat Transfer during Condensation of Water Steam on a Bundle of Horizontal Pipes, Thermal Eng., 1992, vol. 4, pp. 48–51.
Milman, O.O. and Shklover, G.G., Dependence of the Averaged Values of Heat Transfer and Heat Transfer Coefficients on the Method of Averaging, Thermal Eng., 1977, vol. 4, pp. 24–29.
Shklover, G.G., Usachev, A.M., and Kopp, M.I., Heat Transfer and Hydrodynamics during Condensation of Steam on a Horizontal Pipe, in Two-Phase Flows: Heat Transfer and Hydrodynamics, Materials of the 7th All-Union Conf., October, 1985.
Berman, A.D. and Fuks, S.N., Influence of Air Admixture on Heat Transfer during the Condensation of Moving Steam, News All-Union Thermal Engin. Inst., 1952, vol. 11, pp. 11–48.
Isachenko, V.P. and Glushkov, A.F., Heat Transfer during Steam Condensation on a Horizontal Pipe and Condensate Flow From Above, Thermal Eng., 1969, vol. 6, p. 79.
Wanniarachchi, A.S., Marto, P.J., and Rose, J.W., Film Condensation of Steam on Horizontal Finned Tubes: Effect of Fin Spacing, J. Heat Transfer, 1986, vol. 108, no. 4, pp. 960–966.
Young, E.H. and Briggs, D.E., The Condensing of Low Pressure Steam on Vertical Rows of Horizontal Copper and Titanium Tubes, AIChE J., 1966, vol. 12, no. 1, pp. 31–35; https://doi.org/ 10.1002/aic.690120109
Mills, A.F., Tan, C., and Chung, D.K., Experimental Study of Condensation from Steam-Air Mixtures Flowing over a Horizontal Tube: Overall Condensation Rates, in Int. Heat Transfer Conf. Digital Library, Begel House, 1977.
Ferguson, R.M. and Oakden, J.C., Heat Transfer Coefficients for Water and Steam in a Surface Condenser, in Transaction of Chem. Eng. Congress (World Power Conf.), 1936, vol. 4, pp. 1–32.
Gogonin, I.I., Hydrodynamics and Heat Transfer during Condensation of Stationary Steam on a Horizontal Cylinder, Izv. SO AN USSR. Ser. Tech. Nauk, 1986, vol. 10, no. 2, pp. 24–32.
Gogonin, I.I., Dorokhov, A.R, and Sosunov, V.I., Heat Transfer during Condensation of Stationary Steam on a Bundle of Smooth Horizontal Tubes, Thermal Eng., 1977, vol. 4, pp. 23–36.
Kutateladze, S.S. and Gogonin, I.I., Heat Transfer in Film Condensation of Slowly Moving Vapour, Int. J. Heat Mass Transfer, 1979, vol. 22, no. 12, pp. 1593–1599; https://doi.org/10.1016/0017-9310(79)90075-9
Kutateladze, S.S., Gogonin, I.I., and Sosunov, V.I., Experimental Study of Heat Transfer during Condensation of Stationary Vapor on a Bundle of Smooth Horizontal Tubes, Theor. Found. Chem. Eng., 1979, vol. 13, pp. 716–720.
White, R.E., Condensation of Refrigerant Vapors—Apparatus and Film Coefficients for Freon-12, Trans. Am. Soc. Mech. Engin., 1948, vol. 70, no. 6, pp. 689–693; https://doi.org/10.1115/1.4017818
Chernobylsky, I.I. and Gorodinskaya, S.A., Investigation of Heat Transfer during Condensation of Ammonia Vapors on the Outer Surface of Pipes, Procs. Inst. Thermal Power Engin. Acad. Sci. Ukr. SSR, Kyiv, 1961, vol. 4, pp. 44–54.
Gogonin, I.I., Sosunov, V.I., Lazarev, S.I., and Kabov, O.A., Heat Transfer while Stationary Vapor Condensation on a bundle of Horizontal Tubes with Different Configuration, Teploenergetika, 1982, vol. 3, pp. 33–36.
Rogers, J.T., Laminar Falling Film Flow and Heat Transfer Characteristics on Horizontal Tubes, Canad. J. Chem. Eng., 1981, vol. 59, no. 2, pp. 213–222; https://doi.org/10.1002/cjce.5450590212
Kutateladze, S.S., Gogonin, I.I., and Sosunov, V.I., The Influence of Condensate Flow Rate on Heat Transfer in Film Condensation of Stationary Vapour on Horizontal Tube Banks, Int. J. Heat Mass Transfer, 1985, vol. 28, no. 5, pp. 1011–1018; https://doi.org/10.1016/0017-9310(85)90283-2
Park, K.J. and Jung, D., Condensation Heat Transfer Coefficients of Flammable Refrigerants on Various Enhanced Tubes, J. Mech. Sci. Technol., 2005, vol. 19, no. 10, pp. 1957–1963; https://doi.org/ 10.1007/BF02984275
Parken, W.H., Fletcher, L.S., Sernas, V., and Han, J.C., Heat Transfer through Falling Film Evaporation and Boiling on Horizontal Tubes, ASME J. Heat Transfer, 1990, vol. 112, no. 3, pp. 744–750; https://doi.org/10.1115/1.2910449
Sajjan, S.K., Kumar, R., and Gupta, A., Experimental Investigation during Condensation of R-600a Vapor over Single Horizontal Integral-Fin Tubes, Int. J. Heat Mass Transfer, 2015, vol. 88, pp. 247–255; https://doi.org/10.1016/j.ijheatmasstransfer.2015.04.079
Sajjan, S.K., Kumar, R., and Gupta, A., Experimental Investigation of Vapor Condensation of Iso-Butane over Single Horizontal Plain Tube under Different Vapor Pressures, Appl. Thermal Eng., 2015, vol. 76, pp. 435–440; https://doi.org/10.1016/j.applthermaleng.2014.11.049
Ji, W.T., Chong, G.H., Zhao, C.Y., Zhang, H., and Tao, W.Q., Condensation Heat Transfer of R134a, R1234ze(E), and R290 on Horizontal Plain and Enhanced Titanium Tubes, Int. J. Refr., 2018, vol. 93, pp. 259–268; https://doi.org/10.1016/j.ijrefrig.2018.06.013
Li, W., Sun, Z.C., Guo, R.H., Ma, X., Liu, Z.C., Kukulka, D.J., Ayub, Z., Chen, W., and He, Y., Condensation Heat Transfer of R410A on Outside of Horizontal Smooth and Three-Dimensional Enhanced Tubes, Int. J. Refr., 2019, vol. 98, pp. 1–14; https://doi.org/10.1016/j.ijrefrig.2018.09.035
Gebauer, T., Al-Badri, A.R., Gotterbarm, A., El Hajal, J., Leipertz, A., and Fröba, A.P., Condensation Heat Transfer on Single Horizontal Smooth and Finned Tubes and Tube Bundles for R134a and Propane, Int. J. Heat Mass Transfer, 2013, vol. 56, nos. 1/2, pp. 516–524; https://doi.org/ 10.1016/j.ijheatmasstransfer.2012.09.049
Grzebielec, A. and Rusowicz, A., Thermal Resistance of Steam Condensation in Horizontal Tube Bundles, J. Power Technol., 2011, vol. 91, no. 1, p. 41.
Li, S. and Ju, Y., Numerical Study on the Condensation Characteristics of Various Refrigerants outside a Horizontal Plain Tube at Low Temperatures, Int. J. Thermal Sci., 2022, vol. 176, p. 107508; https://doi.org/10.1016/j.ijthermalsci.2022.107508
Zhao, C.Y., Ji, W.T., Jin, P.H., Zhong, Y.J., and Tao, W.Q., Hydrodynamic Behaviors of the Falling Film Flow on a Horizontal Tube and Construction of New Film Thickness Correlation, Int. J. Heat Mass Transfer, 2018, vol. 119, pp. 564–576; https://doi.org/10.1016/j.ijheatmasstransfer.2017.11.086
Kumar, R., Varma, H.K., Mohanty, B., and Agrawal, K.N., Condensation of R-134a Vapor over Single Horizontal Circular Integral-Fin Tubes, Heat Transfer Eng., 2000, vol. 21, no. 2, pp. 29–39; https://doi.org/10.1080/014576300271004
Cavallini, A., Censi, G., Del Col, D., Doretti, L., Longo, G.A., and Rossetto, L., Experimental Investigation on Condensation Heat Transfer and Pressure Drop of New HFC Refrigerants (R134a, R125, R32, R410A, R236ea) in a Horizontal Tube, Int. J. Refr., 2001, vol. 24, no. 1, pp. 73–87; https://doi.org/10.1016/S0140-7007(00)00070-0
Jung, D., Kim, C.B., Cho, S., and Song, K., Condensation Heat Transfer Coefficients of Enhanced Tubes with Alternative Refrigerants for CFC11 and CFC12, Int. J. Refr., 1999, vol. 22, no. 7, pp. 548–557; https://doi.org/10.1016/S0140-7007(99)00020-1
Kutateladze, S.S. , Gogonin, I.I., Dorokhov, A.R., and Sosunov, V.I., Heat Transfer in Vapor Condensation on a Horizontal Tube Bundle, Heat Transfer Sov. Res., 1981, vol. 13, no. 3, pp. 32–50.
Kumar, R., Varma, H.K., Mohanty, B., and Agrawal, K.N., Prediction of Heat Transfer Coefficient during Condensation of Water and R-134a on Single Horizontal Integral-Fin Tubes, Int. J. Refr., 2002, vol. 25, no. 1, pp. 111–126; https://doi.org/10.1016/S0140-7007(00)00094-3
Briggs, A. and Rose, J.W., Effect of Fin Efficiency on a Model for Condensation Heat Transfer on a Horizontal, Integral-Fin Tube, Int. J. Heat Mass Transfer, 1994, vol. 37, no. 1, pp. 457–463; https://doi.org/10.1016/0017-9310(94)90045-0
Hughes, M.T. and Garimella, S., A Review of Active Enhancement Methods for Boiling and Condensation, Int. J. Heat Mass Transfer, 2024, vol. 218, p. 124752; https://doi.org/10.1016/ j.ijheatmasstransfer.2023.124752.
Belghazi, M., Bontemps, A., Signe, J.C., and Marvillet, C., Condensation Heat Transfer of a Pure Fluid and Binary Mixture Outside a Bundle of Smooth Horizontal Tubes. Comparison of Experimental Results and a Classical Model, Int. J. Refr., 2001, vol. 24, no. 8, pp. 841–855; https://doi.org/10.1016/S0140-7007(00)00037-2
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Gogonin, I.I., Volodin, O.A. Fundamentals of Hydrodynamics and Heat and Mass Transfer at Film Condensation of Stationary Vapor on Horizontal Tube Bundles: A Brief Review. J. Engin. Thermophys. 33, 200–219 (2024). https://doi.org/10.1134/S1810232824010144
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DOI: https://doi.org/10.1134/S1810232824010144