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Computational Modelling of MHD Flow and Mass Transfer in Stretching Sheet with Slip Effects at the Porous Surface
Department of Mathematics, Visva-Bharati University Santiniketan, India
Department of Mathematics, Gobindapur High School, Murshidabad-742 225, West Bengal, India
This paper presents a perturbation and numerical analysis of the flow and mass transfer characteristics of Newtonian fluid flowing in a horizontal channel with lower side being a stretching sheet and upper being permeable plate bounded by porous medium in presence of transverse magnetic field. The governing nonlinear equations and their associated boundary conditions are first cast into dimensionless forms by a local non-similar transformation. The resulting equations are then solved using perturbation method and the finite difference scheme. Numerical results for flow and concentration distribution and the skin-friction coefficient have been obtained for different values of the governing parameters numerically and their values are presented through table and graphs. The effects of various physical parameters Hartman number, Reynolds number, slip parameter etc. on dimensionless horizontal and vertical velocities and also on mass transfer characteristics are discussed in detail. In particular, the effect of slip velocity at interfacial surface on skin friction factor is found to be more pronounced in a system for higher value of magnetic field. The results also show that the magnetic field parameter has a significant influence on the fluid flow and mass transfer characteristics.
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