An Asymptotic Study of the Nusselt-Graetz Problem—Part I: Large x Behavior

[+] Author and Article Information
H. J. Hickman

Center for the Studies of the Physical Environment, University of Minnesota, Minneapolis, Minn.

J. Heat Transfer 96(3), 354-358 (Aug 01, 1974) (5 pages) doi:10.1115/1.3450205 History: Received January 11, 1974; Online August 11, 2010


A method is given for determining the large x behavior of the Nusselt number for a variety of Nusselt-Graetz problems. Exploitation of properties of the Laplace transform of the temperature yields analytic expressions for Nu as explicit functions of the other parameters of the problem. Accurate results (<1 percent error) are deduced for problems involving the laminar flow of a Newtonian flow between parallel plates and in a circular pipe (valid for all values of the wall Nusselt number).

Copyright © 1974 by ASME
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