On the Convective Heat Transfer in a Tube of Elliptic Cross Section Maintained Under Constant Wall Temperature

[+] Author and Article Information
M. A. Ebadian, H. C. Topakoglu

Department of Mechanical Engineering, Southern University, Baton Rouge, LA 70813

O. A. Arnas

Department of Mechanical Engineering, California State University, Chico, CA 95929

J. Heat Transfer 108(1), 33-39 (Feb 01, 1986) (7 pages) doi:10.1115/1.3246901 History: Received January 14, 1985; Online October 20, 2009


The convective heat transfer problem along the portion of a tube of elliptic cross section maintained under a constant wall temperature where hydrodynamically and thermally fully developed flow conditions prevail is solved in this paper. The successive approximation method is used for the solution utilizing elliptic coordinates. Analytical expressions for temperature distribution and Nusselt number corresponding to the first cycle of approximation are obtained in terms of the ellipticity of the cross section. In the case of a circular section, the first cycle approximation of the Nusselt number is obtained as 3.7288 compared to the exact value of 3.6568. Representative temperature distribution curves are plotted and compared to those corresponding with constant wall heat flux conditions.

Copyright © 1986 by ASME
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