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Flow of a viscous incompressible fluid of temperature dependent viscosity past a permeable wedge with uniform surface heat flux
Authors:M A Hossain  M S Munir  M Z Hafiz  H S Takhar
Institution:(1) Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh, BD;(2) Computer Centre, University of Dhaka, Dhaka 1000, Bangladesh, BD;(3) Manchester School of Engineering, University of Manchester, Manchester, UK, GB
Abstract: The effect of uniform suction on the steady two-dimensional laminar forced flow of a viscous incompressible fluid of temperature dependent viscosity past a wedge with uniform surface heat flux is considered. The governing equations for the flow are obtained by using suitable transformations and are solved by using an implicit finite difference method. Perturbation solutions are also obtained near the leading edge and in the downstream regime. The results are obtained in terms of the local skin friction coefficient and the rate of heat transfer for various values of the pertinent parameters, such as the Prandtl number, Pr, the velocity gradient parameter, m, the local suction parameter, ξ, and the viscosity variation parameter, ɛ. Perturbation solutions are compared with the finite difference solutions and are found to be in excellent agreement. The effect of ξ, m and ɛ on the dimensionless velocity profiles and viscosity distribution are also presented graphically for Pr = 0.7 and 7.0, which are the appropriate values for gases and water respectively. Received on 22 July 1999
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