A theoretical and experimental study of laminar forced convection in the thermal entrance region of a rectangular duct, subjected to a sinusoidally varying inlet temperature, is presented. A general boundary condition of the fifth kind that accounts for both external convection and wall thermal capacitance effects is considered, and an analytical solution is obtained through extending the generalized integral transform technique. The variations of amplitudes and phase lags of centerline and bulk temperatures are determined as functions of modified Biot number, fluid-to-wall thermal capacitance ratio, and dimensionless inlet frequency. An apparatus has been designed, built, and used for the experimental study to provide validation of the mathematical modeling employed. Good agreement is obtained when the nonuniform sinusoidally varying inlet temperature profile obtained by experiments is incorporated into the theoretical model.
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Unsteady Laminar Forced Convection in Ducts With Periodic Variation of Inlet Temperature
S. Kakac,
S. Kakac
Department of Mechanical Engineering, University of Miami, Coral Gables, FL 33124
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W. Li,
W. Li
Department of Mechanical Engineering, University of Miami, Coral Gables, FL 33124
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R. M. Cotta
R. M. Cotta
Programa de Engenharia Mecanica, COPPE—Universidade Federal do Rio Janeiro, Rio de Janeiro, Brazil
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S. Kakac
Department of Mechanical Engineering, University of Miami, Coral Gables, FL 33124
W. Li
Department of Mechanical Engineering, University of Miami, Coral Gables, FL 33124
R. M. Cotta
Programa de Engenharia Mecanica, COPPE—Universidade Federal do Rio Janeiro, Rio de Janeiro, Brazil
J. Heat Transfer. Nov 1990, 112(4): 913-920 (8 pages)
Published Online: November 1, 1990
Article history
Received:
September 12, 1989
Revised:
March 13, 1990
Online:
May 23, 2008
Citation
Kakac, S., Li, W., and Cotta, R. M. (November 1, 1990). "Unsteady Laminar Forced Convection in Ducts With Periodic Variation of Inlet Temperature." ASME. J. Heat Transfer. November 1990; 112(4): 913–920. https://doi.org/10.1115/1.2910499
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