Abstract
A theoretical study of laminar forced convection in the thermal entrance region of a rectangular duct, subjected to a sinusoidally varying inlet temperature, is presented. Several boundary conditions that account for uniform wall heat flux and/or external convections with or without wall thermal capacitance effects are considered. Analytical expressions for these problems are obtained through extending the generalized integral transform technique. The centerline temperature amplitudes are determined as a function of Biot number, fluid-to-wall thermal capacitance ratio and dimensionless inlet frequency of inlet heat input oscillations. The effects of these variables on the solution are discussed. The eigenvalues and corresponding coefficients are given in tabular forms.
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