The effect of conduction—radiation on the oscillating natural convection boundary layer flow of viscous incompressible fluid along a vertical plate

Abstract

The natural convection boundary layer flow with conduction—radiation interaction of a viscous incompressible fluid along a vertical plate to surface temperature oscillations has been studied. Three distinct methods are used in the investigation, namely (a) the perturbation method for low frequency range and the asymptotic series expansion method for high frequency range, (b) the direct finite difference method for primitive variable formulations, and (c) the implicit finite difference method for stream-function formulation together with the Keller-box elimination technique for the entire frequency range. The effects of varying the Prandtl number Pr, the conduction—radiation parameter R _d, and the surface temperature parameter θ_w, are discussed in terms of amplitude and phase of the rate of heat transfer for fluid having the Prandtl number equal to 0.1. Also the effects of these parameters on the amplitude of oscillation of the transient skin-friction and transient heat transfer have been investigated.

Keywords

conduction—radiation oscillating natural convection boundary layer flow

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