Forced Convection of a Dissipative Liquid in a Channel With Neumann Conditions

[+] Author and Article Information
V. P. Tyagi

Department of Mathematics, Indian Institute of Technology, Kanpur, India

J. Appl. Mech 33(1), 18-24 (Mar 01, 1966) (7 pages) doi:10.1115/1.3624978 History: Received March 31, 1964; Revised June 14, 1965; Online September 15, 2011


In this paper, we consider a heat transfer problem of forced convection of liquids in an arbitrary straight channel with arbitrarily prescribed wall heat flux when the flow is steady, laminar, and of constant-property type and when the effect of viscous dissipation is taken into account. The assumption of fully developed flow has been made. An arbitrary heat source is assumed to be present in the channel. The general solution of the problem, in terms of integral formulas, is directly presented by using the methods of conformal transformation. In a separate section, some aspects of the problem are discussed briefly, especially with respect to wall heat-flux function, heat-source function, and mapping function, and a general series solution is then given. In the end, the problem of a cardioid duct is investigated numerically, and the results of nondissipative and dissipative cases are compared.

Copyright © 1966 by ASME
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