Abstract
The work presented herein investigates the velocity, heat transfer, Nusselt number and skin friction profiles involved in boundary layer flow past a moving vertical porous plate. Similarity transformations are employed to convert the governing nonlinear unsteady momentum and energy equations from their partial differential equation forms to boundary value ordinary differential equations. The resulting equations are then solved numerically by the Runge-Kutta fourth order method with the help of a shooting technique. Several features of the flow and heat transfer characteristics for different values of problem parameters are analyzed and discussed. These include the effects of the radiation parameter (R), suction and injection parameter (c), Grashof (Gr) and Prandtl (Pr) numbers on the flow and heat profiles. Numerical results show the impact of blowing and sucking as well as radation on boundary layer flows of this type. Both the skin frictions as well as the heat transfer rate are also significantly related to the radiation parameter. For all these cases; the numerical results are found to be in agreement with the physics of the problem.
Highlights
The work presented investigates the velocity, heat transfer, Nusselt number and skin friction profiles involved in boundary layer flow past a moving vertical porous plate
In this paper we consider the effect of suction and injection, thermal radiation and other dimensionless flow variables on boundary layer flow across a moving vertical porous plate
In order to arrive at a physical insight into the problem formulation a parametric study is carried out to illustrate the effects of the different governing parameters namely the Grashof, Nusselt and Prandtl numbers and the radiation and suction/blowing parameters on fluid flow and heat transfer processes
Summary
Magnetohydrodymaics (MHD) of boundary layer flow across a vertical porous plate has a wide area of industrial applications in such areas as geophysics, geothermal energy extractions, astrophysics, plasma studies and crude oil purifications. An unsteady MHD boundary layer flow of a rotating fluid past a vertical porous plate was studied by Reddy [18] He applied a perturbation technique to arrive at the effects of pertinent fluid parameters on fluid flow. In this paper we consider the effect of suction and injection, thermal radiation and other dimensionless flow variables on boundary layer flow across a moving vertical porous plate. The effects of various flow and heat transfer parameters are presented graphically This includes skin friction coefficient, the Nusselt number as well as the temperature and the velocity profiles. This is essential in order to confirm that the solutions obtained are in consonance with the physics which the problem formulations represent
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