MHD mixed convection boundary layer flow on a vertical permeable stretching sheet embedded in a porous medium with slip effects

In this paper, we investigate the problem of two-dimensional MHD mixed convection flow over a vertical permeable sheet embedded in a porous medium, with partial slip condition at the boundary. The nonlinear coupled boundary-layer equations have been transformed using an appropriate similarity transformation and resulting ordinary differential equations have been solved by Runge-Kutta fourth order method along with shooting technique. The influence of magnetic parameter M, permeability parameter K, buoyancy or mixed convection parameter λ, suction parameter S, slip parameter δ and Prandtl number Pr has been studied. It is found that these parameters have essential effects on the features of flow and heat transfer. Further, the present solutions are also validated by comparing with the existing solutions

Three dimensional viscous flow and heat transfer due to a permeable shrinking sheet with heat generation/absorption

Three dimensional boundary layer flow due to a permeable shrinking sheet with viscous dissipation and heat generation/absorption, has been studied in the present paper. The governing equations are transformed to ordinary differential equations by using suitable similarity transformations and then solved numerically on computer by standard technique. Numerical results of velocity and temperature profiles are obtained with the effects of various parameters involved such as suction, shrinking, Prandtl number, Eckert number and heat generation coefficient etc. and discussed them graphically in suitable manner such that interesting aspects of the solution can be adopted. Also, the comparison of results of two dimensional case and axisymmetric shrinking sheet case is considered

MHD flow and heat transfer near the stagnation point of a micropolar fluid over a stretching surface with heat generation/absorption

The steady laminar two dimensional stagnation point flow of an incompressible electrically conducting micropolar fluid impinging on a permeable stretching surface with heat generation or absorption in the presence of transverse magnetic field has been studied. The viscous dissipation effect is taken into account. By taking suitable similarity variables, the governing system of partial differential equations are transformed into ordinary differential equations, which are then solved numerically. The effects of various parameters such as the magnetic parameter, the surface stretching parameter, heat generation/absorption coefficient, material parameter, Eckert number and Prandtl number on the flow and heat transfer are presented and discussed graphically