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Research Papers

Analytical Solutions of Heat Transfer and Film Thickness in Thin-Film Evaporation

[+] Author and Article Information
Chunji Yan

Marine Engineering College, Dalian Maritime University Dalian, Liaoning Province, 116024, China

H. B. Ma

Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211 e-mail: mah@missouri.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received December 14, 2011; final manuscript received September 20, 2012; published online February 8, 2013. Assoc. Editor: Bruce L. Drolen.

J. Heat Transfer 135(3), 031501 (Feb 08, 2013) (6 pages) Paper No: HT-11-1570; doi: 10.1115/1.4007856 History: Received December 14, 2011; Revised September 20, 2012

A mathematical model predicting heat transfer and film thickness in thin-film region is developed herein. Utilizing dimensionless analysis, analytical solutions have been obtained for heat flux distribution, total heat transfer rate per unit length, location of the maximum heat flux and ratio of conduction thermal resistance to convection thermal resistance in the evaporating film region. These analytical solutions show that the maximum dimensionless heat flux is constant which is independent of the superheat. Maximum total heat transfer rate is determined for a given film region. The ratio of conduction thermal resistance to convection thermal resistance is a function of dimensionless film thickness. This work will lead to a better understanding of heat transfer and fluid flow occurring in the evaporating film region.

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References

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Wang, H., Garimella, S. V., and Murthy, J. Y., 2008, “An Analytical Solution for the Total Heat Transfer in the Thin_film Region of an Evaporating Meniscus,” Int. J. Heat Mass Transfer, 51, pp. 6317–6322. [CrossRef]
Wayner, P. C., Kao, Y. K., LaCroix, L.V., 1976, “The Interline Heat Transfer Coefficient of an Evaporating Wetting Film,” Int. J. Heat Mass Transfer, 19, pp. 487–492. [CrossRef]

Figures

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Fig. 1

Schematic of an evaporating thin film

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Fig. 2

Comparison of the total heat transfer rate through thin-film region with results presented by Wang et al. [14]

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Fig. 3

Superheat effect on equilibrium film thickness and characteristic heat flux

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Fig. 4

Dimensionless microlayer profile and heat flux at a superheat of 2  °C

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Fig. 5

Superheat effect on the nondimensional heat flux

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Fig. 6

Dimensionless heat flux and ratio of conduction to convection thermal resistance

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Fig. 7

Superheat effect on the maximum heat transfer rate per unit length

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