The Second Fundamental Problem in Heat Transfer of Laminar Forced Convection

[+] Author and Article Information
L. N. Tao

Illinois Institute of Technology, Chicago, Ill.

J. Appl. Mech 29(2), 415-420 (Jun 01, 1962) (6 pages) doi:10.1115/1.3640563 History: Received April 06, 1961; Online September 16, 2011


This paper is concerned with the heat-transfer problem of laminar forced convection in noncircular pipes with arbitrary heat generation and prescribed heat flux at the wall. This class of boundary-value problems with Neumann conditions is approached by the method of conformal mapping. The solutions in terms of two analytic functions are established. This greatly enlarges the possibilities of analyses to many configurations which are otherwise not easily attainable. The example of an indented pipe of cardioid section is investigated in detail.

Copyright © 1962 by ASME
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