Analytical Solution for Unsteady Heat Transfer in a Pipe

[+] Author and Article Information
J. Sucec

University of Maine, Orono, ME 04469

J. Heat Transfer 110(4a), 850-854 (Nov 01, 1988) (5 pages) doi:10.1115/1.3250584 History: Received July 27, 1987; Online October 20, 2009


Under consideration is transient, convective heat transfer to a fluid flow within a pipe due to a sudden change in the temperature of the ambient medium outside the pipe. A solution is developed by the Laplace transformation, for the fastest portion of the transient, which gives the pipe wall temperature, surface heat flux, and fluid bulk mean temperature. These analytical results are compared with available finite difference results and with quasi-steady solutions. A criterion is developed that indicates when the zero thermal capacity wall solution can be used with adequate accuracy.

Copyright © 1988 by ASME
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