Solution for Transient Conjugated Forced Convection in the Thermal Entrance Region of a Duct With Periodically Varying Inlet Temperature

[+] Author and Article Information
J. S. Travelho, W. F. N. Santos

Instituto de Pesquisas Espaciais, Laboratório Associado de Combustão e Propulsão, Cachoeira Paulista—SP, 12630 Brazil

J. Heat Transfer 113(3), 558-562 (Aug 01, 1991) (5 pages) doi:10.1115/1.2910602 History: Received January 03, 1990; Revised November 22, 1990; Online May 23, 2008


This work presents an analytical solution of the transient conjugated laminar forced convection problem of a slug flow in the thermal entrance region inside a parallel plate duct. A solution in series form is already known for this kind of problem. This solution leads to a complex eigenvalue problem with transcendental equations. The present solution obtained by using the Laplace transform completely eliminates this problem. The amplitudes and phase lags with respect to the inlet conditions are determined for the complex wall temperature, fluid bulk temperature, and wall heat flux from this solution. The results are plotted for comparison with the results obtained with the series solution.

Copyright © 1991 by The American Society of Mechanical Engineers
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