Film flow coupled with heat and mass transfer is a widely open domain due to the range of its applications. However, the coupling between the different phenomena makes the analytical resolution difficult, and thus, coerces most authors into performing numerical studies. Although efficient, the numerical approach does not reveal the real link between the different parameters when studying heat transfer. This lack of meaningful formulation motivates the present paper, which proposes a semi-analytical solution for the establishment of the thermal boundary layer of a film flowing down an inclinated heated plane. The formula is obtained by a truncated sum of Whittaker’s functions, and is validated by comparison with a full numerical solution of the problem (assuming the same hypotheses). The semi-analytical nature of the equation provides better understanding of the physical phenomena and could help in reducing numerical computational time.
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e-mail: adrien.aubert@emn.fr
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Semi-Analytical Solution for Heat Transfer in a Water Film Flowing Over a Heated Plane
Adrien Aubert,
Adrien Aubert
Department of Energy Systems and Environment, GEPEA,
e-mail: adrien.aubert@emn.fr
Ecole des Mines de Nantes
, 4 rue Alfred Kastler, Cedex 3, Nantes BP 20722, France
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Fabien Candelier,
Fabien Candelier
Department of Energy Systems and Environment, GEPEA,
Ecole des Mines de Nantes
, 4 rue Alfred Kastler, Cedex 3, Nantes BP 20722, France
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Camille Solliec
Camille Solliec
Department of Energy Systems and Environment, GEPEA,
e-mail: camille.solliec@emn.fr
Ecole des Mines de Nantes
, 4 rue Alfred Kastler, Cedex 3, Nantes BP 20722, France
Search for other works by this author on:
Adrien Aubert
Department of Energy Systems and Environment, GEPEA,
Ecole des Mines de Nantes
, 4 rue Alfred Kastler, Cedex 3, Nantes BP 20722, Francee-mail: adrien.aubert@emn.fr
Fabien Candelier
Department of Energy Systems and Environment, GEPEA,
Ecole des Mines de Nantes
, 4 rue Alfred Kastler, Cedex 3, Nantes BP 20722, France
Camille Solliec
Department of Energy Systems and Environment, GEPEA,
Ecole des Mines de Nantes
, 4 rue Alfred Kastler, Cedex 3, Nantes BP 20722, Francee-mail: camille.solliec@emn.fr
J. Heat Transfer. Jun 2010, 132(6): 064501 (4 pages)
Published Online: March 31, 2010
Article history
Received:
June 2, 2009
Revised:
November 9, 2009
Online:
March 31, 2010
Published:
March 31, 2010
Citation
Aubert, A., Candelier, F., and Solliec, C. (March 31, 2010). "Semi-Analytical Solution for Heat Transfer in a Water Film Flowing Over a Heated Plane." ASME. J. Heat Transfer. June 2010; 132(6): 064501. https://doi.org/10.1115/1.4000751
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