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DOI: 10.1615/ICHMT.1996.TransientConvHeatTransf.420

S. Cheroto
Department of Mechanical Engineering, University of Miami, Coral Gables -Fl 33124 USA

C. A. C. Santos
Universidade Federal da Paraiba, Laboratorio de Energia Solar (LES/DTM/CT/UFPB), Brazil

Sadik Kakac
Department of Mechanical Engineering,TOBB University of Economics and Technology, Ankara-Turkey; and LIPING CAO, Westinghouse Electric Company, LLC, PA; and Department of Mechanical Engineering, University of Miami, Florida - USA


An analytical study of unsteady laminar forced convection in a parallel plate channel with hydrodynamically fully developed flow is performed. A general boundary condition of the fifth kind that accounts for both external convection and wall heat capacitance effect is used. The flow is subjected to a periodic variation of inlet temperature, and the thermal response of the system to periodic perturbations is sought after the initial transient has completely disappeared. The generalized integral transform technique is used to provide hybrid analytical-numerical solution. The periodic analysis is performed by using two coupled similar problems for real and imaginary parts, and the resulting coupled equations are solved simultaneously. In addition, a filtering technique is developed to improve the solution and accelerate the convergence.

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