Theoretical and Analytical Methods for Determining Heat Transfer Coefficients in Evaporation Processes

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In open-surface evaporation systems, the simultaneous transfer of heat and mass is vital for establishing the interrelated exchange of energy and mass between liquid and gas phases. This research offers a comprehensive examination of the physical mechanisms that control evaporation in both natural and forced convection scenarios. It also assesses different theoretical and empirical approaches for calculating the heat transfer coefficient. It has been shown through experiments and numerical analyses conducted in the past that the precision of predictions regarding heat and mass transfer is greatly influenced by factors such as geometrical configurations, convection regimes, and measurement accuracy. Various analytical methods are examined, such as the heat balance equation method that connects heat flux to temperature difference and evaporation rate through interfacial energy balance, and the dimensional analysis method that formulates general correlations based on important dimensionless numbers like Nusselt, Prandtl, Reynolds, and Rayleigh. Moreover, the heat–mass transfer analogy offers a practical framework for estimating one coefficient based on the other by taking advantage of the similarity between temperature and concentration fields. Furthermore, the Ackermann correction factor is implemented to consider the effect of vapor flow on the heat transfer, thereby improving estimations of the heat transfer coefficient during evaporation and diffusion. This research creates an extensive framework for the analysis of open-surface evaporation and the enhancement of heat and mass transfer coefficient predictions. This is achieved through a combination of theoretical, experimental, and analogy-based methods, leading to improvements in the design and functioning of thermal and evaporative systems.

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171-179

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August 2026

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© 2026 Trans Tech Publications Ltd. All Rights Reserved

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[1] E. M. Sparrow, G. K. Kratz, and M. J. Schuerger, "Evaporation of Water From a Horizontal Surface by Natural Convection," J. Heat Transf., vol. 105, no. 3, p.469–475, Aug. 1983.

DOI: 10.1115/1.3245609

Google Scholar

[2] C. G. M. Slesser and D. Cleland, "Surface evaporation by forced convection," Int. J. Heat Mass Transf., vol. 5, no. 8, p.735–749, Aug. 1962.

DOI: 10.1016/0017-9310(62)90204-1

Google Scholar

[3] M. Örvös, V. Szabó, and T. Poós, "Rate of evaporation from the free surface of a heated liquid," J. Appl. Mech. Tech. Phys., vol. 57, no. 6, p.1108–1117, Nov. 2016.

DOI: 10.1134/S0021894416060195

Google Scholar

[4] I. W. Eames, N. J. Marr, and H. Sabir, "The evaporation coefficient of water: a review," Int. J. Heat Mass Transf., vol. 40, no. 12, p.2963–2973, Aug. 1997.

DOI: 10.1016/S0017-9310(96)00339-0

Google Scholar

[5] W. K. Lewis, "The Evaporation of a Liquid Into a Gas," Trans. Am. Soc. Mech. Eng., vol. 44, p.325–332, Jan. 1922.

DOI: 10.1115/1.4058175

Google Scholar

[6] T. Kumada, T. Hirota, N. Tamura, and R. Ishiguro, "Heat and Mass Transfer With Liquid Evaporation Into a Turbulent Air Stream," J. Heat Transf., vol. 108, no. 1, p.4–8, Feb. 1986.

DOI: 10.1115/1.3246904

Google Scholar

[7] E. Varju and T. Poós, "Heat transfer coefficient for water evaporation," 2023.

Google Scholar

[8] Š. Gužela and F. Dzianik, "The Correction Factor Taking Into Account the Effect of Mass Transfer on the Heat Transfer Coefficient," Strojnícky Časopis - J. Mech. Eng., vol. 72, no. 1, p.55–68, Apr. 2022.

DOI: 10.2478/scjme-2022-0006

Google Scholar

[9] S. M. Aldarabseh, "Evaporation Rate from Free Water Surface".

Google Scholar

[10] M. M. Shah, "Improved model for calculation of evaporation from water pools," Sci. Technol. Built Environ., vol. 24, no. 10, p.1064–1074, Nov. 2018.

DOI: 10.1080/23744731.2018.1483157

Google Scholar

[11] T. Poós and H. Abu-Zienah, "Heat transfer coefficient analysis at the liquid surface in forced airflow conditions." 2025.

Google Scholar

[12] Y. A. Çengel and A. J. Ghajar, Heat and mass transfer: fundamentals & applications, 5th edition. New York, NY: McGraw-Hill Education, 2015.

Google Scholar

[13] F. P. Incropera, D. P. DeWitt, T. L. Bergman, and A. S. Lavine, Eds., Fundamentals of heat and mass transfer, 6. ed. Hoboken, NJ: Wiley, 2007.

Google Scholar

[14] B. M. Smolsky and G. T. Sergeyev, "Heat and mass transfer with liquid evaporation," Int. J. Heat Mass Transf.,vol.5, no.10, pp.1011-1021, Oct.1962.

DOI: 10.1016/0017-9310(62)90081-9

Google Scholar

[15] B. M. Smolsky and G. T. Sergeyev, "Heat and mass transfer with liquid evaporation," Int. J. Heat Mass Transf., vol.5, no. 10, pp.1011-1021, Oct.1962.

DOI: 10.1016/0017-9310(62)90081-9

Google Scholar

[16] "McAdams, W.H. and McAdams, W.H., 1954. Heat transmission (Vol. 3). New York: McGraw-hill."

Google Scholar

[17] Š. Gužela and F. Dzianik, "Different Forms of the Correction Factor Used to Describe Simultaneous Heat and Mass Transfer," Chem. Biochem. Eng. Q., no. 3, Dec. 2022.

DOI: 10.15255/CABEQ.2022.2113

Google Scholar

[18] Ackermann, G. and Gnam, E., Wärmeübergang und molekulare Stoffübertragung im gleichen Feld bei großen Temperatur- und Partialdruckdifferenzen: Tropfenkondensation von Wasserdampf. Berlin (if needed; VDI-Verlag is based in Berlin): VDI-Verlag, 1937.

DOI: 10.1007/bf01008811

Google Scholar