0
Technical Briefs

Semi-Analytical Solution for Heat Transfer in a Water Film Flowing Over a Heated Plane

[+] Author and Article Information
Adrien Aubert

Department of Energy Systems and Environment, GEPEA, Ecole des Mines de Nantes, 4 rue Alfred Kastler, Cedex 3, Nantes BP 20722, Franceadrien.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 Solliec1

Department of Energy Systems and Environment, GEPEA, Ecole des Mines de Nantes, 4 rue Alfred Kastler, Cedex 3, Nantes BP 20722, Francecamille.solliec@emn.fr

1

Corresponding author.

J. Heat Transfer 132(6), 064501 (Mar 31, 2010) (4 pages) doi:10.1115/1.4000751 History: Received June 02, 2009; Revised November 09, 2009; Published March 31, 2010; Online March 31, 2010

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 2

Xn and Cn coefficients calculated for a 20 element truncature

Grahic Jump Location
Figure 3

Local dimensionless heat flux density φ∗ versus x∗

Grahic Jump Location
Figure 4

θ versus y∗ at x∗=0.02, x∗=0.05, x∗=0.1, and x∗=0.25

Grahic Jump Location
Figure 1

Schematic representation of the physical system

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In