Temperature Distribution in a Cylindrical Rod Moving From a Chamber at One Temperature to a Chamber at Another Temperature

[+] Author and Article Information
G. Horvay, M. Dacosta

General Electric Research Laboratory, Schenectady, N. Y.

J. Heat Transfer 86(2), 265-270 (May 01, 1964) (6 pages) doi:10.1115/1.3687119 History: Received November 12, 1962


When an infinitely long cylindrical rod travels from a chamber at one temperature ϑa to a chamber (insulated from the first) at a higher temperature ϑf , then heat will leak out along the rod from the second chamber to the first, whose amount decreases as the speed of the rod increases. Using the Wiener-Hopf method of solution, we determine the temperature distribution in the rod for the case where in the second chamber the heat-transfer coefficient h+ is infinite, while in the first chamber it has an arbitrary constant value h. Families of curves illustrate the temperature distribution in the two special cases where h = ∞ (isothermal boundary conditions in lower chamber) and where h = 0 (rod is insulated in lower chamber).

Copyright © 1964 by ASME
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