Abstract
We apply the one parameter continuous group method to investigate similarity solutions of magnetohydrodynamic (MHD) heat and mass transfer flow of a steady viscous incompressible fluid over a flat plate. By using the one parameter group method, similarity transformations and corresponding similarity representations are presented. A convective boundary condition is applied instead of the usual boundary conditions of constant surface temperature or constant heat flux. In addition it is assumed that viscosity, thermal conductivity, and concentration diffusivity vary linearly. Our study indicates that a similarity solution is possible if the convective heat transfer related to the hot fluid on the lower surface of the plate is directly proportional to(x-)-1/2wherex-is the distance from the leading edge of the solid surface. Numerical solutions of the ordinary differential equations are obtained by the Keller Box method for different values of the controlling parameters associated with the problem.
Highlights
A review of the literature shows that to the best of our knowledge not much research has been reported on MHD flow over a flat plate with convective surface boundary conditions by applying the one parameter continuous group method
The main objective in this paper is to investigate similarity solutions and scaling transformations of MHD heat and mass transfer flow of a steady viscous incompressible fluid over a flat plate with convective surface boundary conditions by using the one parameter continuous group method
We have investigated the effects of various governing parameters, namely, the viscosity parameter A, the magnetic field M, thermal Grashof number Gr, mass transfer Grashof number Gc, thermal conductivity parameter S, Prandtl number Pr, concentration diffusivity parameter Dc, Schmidt number Sc, velocity slip parameter a, and thermal slip parameter b on flow field and heat transfer characteristics
Summary
A review of the literature shows that to the best of our knowledge not much research has been reported on MHD flow over a flat plate with convective surface boundary conditions by applying the one parameter continuous group method. For this problem we apply similarity transformations on the partial differential equations. The main objective in this paper is to investigate similarity solutions and scaling transformations of MHD heat and mass transfer flow of a steady viscous incompressible fluid over a flat plate with convective surface boundary conditions by using the one parameter continuous group method. The effects of governing parameters on fluid velocity, temperature, and particle concentration are investigated and shown graphically
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