Exact Solution for Unsteady Conjugated Heat Transfer in the Thermal Entrance Region of a Duct

[+] Author and Article Information
J. Sucec

University of Maine, Orono, ME 04469

J. Heat Transfer 109(2), 295-299 (May 01, 1987) (5 pages) doi:10.1115/1.3248079 History: Received July 29, 1985; Online October 20, 2009


By use of the Laplace transformation, an exact analytical solution is developed for the case of transient conjugated heat transfer in the thermal entrance region of a parallel plate duct when the unsteadiness is induced by a sudden change in temperature of the ambient fluid outside the duct walls. The solution is presented for the fastest part of the transient, time domain I, and comparison is made with a finite difference solution and also with the approximate, standard quasi-steady approach which is seen to be appreciably in error for a wide range of conjugation parameter values.

Copyright © 1987 by ASME
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