Integral Equation Solution for Internal Flow Subjected to a Variable Heat Transfer Coefficient

[+] Author and Article Information
B. Vick, J. H. Beale

Mechanical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. I. Frankel

Department of Mechanical Engineering, Florida Institute of Technology, Melbourne, FL 32901

J. Heat Transfer 109(4), 856-860 (Nov 01, 1987) (5 pages) doi:10.1115/1.3248194 History: Received August 01, 1986; Online October 20, 2009


A solution methodology based on integral equations is presented for the problem of heat transfer to laminar duct flow subjected to an axial variation of the external heat transfer coefficient. The technique offers an efficient and accurate calculation procedure which combines standard analytical methods with a simple numerical integration. In order to examine the effect of external finning, results are calculated for the cases of a stepwise periodic and a harmonic variation of the heat transfer coefficient for both fully developed laminar flow and slug flow. The general procedure is applicable to a wide class of problems in heat and mass transfer involving variable boundary condition parameters.

Copyright © 1987 by ASME
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