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On solution driven flow and heat transfer in a pipe filled with porous media

100%

Makinde O. D. , Sibanda P.

tom Vol. 5, nr 4

389-398

The axisymmetric flow of a viscous fluid and heat transfer in a pipe filled with porous media driven by suction at the pipe wall is examined. For low suction Reynolds number flow, asymptotic solutions are developed. Using MAPLE, the solution series is extended and a bifurcation study is performed. Our results show that a decrease in the permeability of porous media may reduce the magnitude of heat transfer across the wall. The absence of real solutions of the given type between two turning points is also noticed and this gap of no solution disappears as the permeability of the porous media decreases.

Linear stability of two-dimensional flow to three-dimensional perturbations in a channel with a flexible wall

80%

Sibanda P. , Motsa S. S. , Shateyi S.

tom Vol. 56, nr 4

293-311

In this paper we investigate the effects of three-dimensional disturbance waves on the stability of a two-dimensional channel flow with one compliant surface. The study exploits the multideck structure of the flow in the limit of large Reynolds numbers to make an asymptotic analysis of the flow and to derive linear neutral stability results. The study shows that for a flow over flexible surfaces, three-dimensional disturbances may be more unstable than two-dimensional modes for a given set of wall properties.