Application of homotopy perturbation method for MHD free convection of water at 4 ºC through porous medium bounded by a moving vertical plate

An analysis has been made to study the problem of two-dimensional magnetohydrodynamic (MHD) free convection of water at 4 ºC through porous medium bounded by a moving vertical plate. The governing partial differential equations have been transformed into self-similar ordinary differential equations using similarity transformations before being solved by He’s homotopy perturbation method (HPM). The main advantage of HPM is that it does not require the small parameters in the equations and hence the limitations of traditional perturbation can be eliminated. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear problems. A parametric study of all involved physical parameters has been conducted and a representative set of numerical results for the velocity, temperature and skin-friction has been illustrated graphically. Physical aspects of the problem have also been discussed

MHD Boundary Layer Flow near Stagnation Point of Linear Stretching Sheet with Variable Thermal Conductivity via He’s Homotopy Perturbation Method

MHD boundary layer flow near stagnation point of linear stretching sheet with variable thermal conductivity are solved using He’s Homotopy Perturbation Method (HPM), which is one of the semi-exact method. Similarity transformation has been used to reduce the governing differential equations into an ordinary non-linear differential equation. The main advantage of HPM is that it does not require the small parameter in the equations and hence the limitations of traditional perturbations can be eliminated. In this paper firstly, the basic idea of the HPM for solving nonlinear differential equations is briefly introduced and then it is employed to derive solution of nonlinear governing equations of MHD boundary layer flow with nonlinear term. The influence of various relevant physical characteristics are presented and discussed

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

MHD boundary layer flow and heat transfer along an infinite porous hot horizontal continuous moving plate

106-110Analysis is to study the two-dimensional magnetohydrodynamic (MHD) boundary layer flow and heat transfer along an infinite porous hot horizontal continuous moving plate. The governing partial differential equations are transformed into self-similar ordinary differential equations using similarity transformations before being solved analytically. Numerical results for the dimensionless velocity profiles, the temperature profiles, the skin friction coefficient and the Nusselt number are present graphically and discuss briefly for various physical parameters, such as magnetic parameter M, plate velocity α,Prandtl number Pr,Eckert number Ec and heat source/sink parameter S. It has been found that these parameters have significantly effects on the flow and heat transfer

MHD boundary layer flow and heat transfer along an infinite porous hot horizontal continuous moving plate

Analysis is to study the two-dimensional magnetohydrodynamic (MHD) boundary layer flow and heat transfer along an infinite porous hot horizontal continuous moving plate. The governing partial differential equations are transformed into self-similar ordinary differential equations using similarity transformations before being solved analytically. Numerical results for the dimensionless velocity profiles, the temperature profiles, the skin friction coefficient and the Nusselt number are present graphically and discuss briefly for various physical parameters, such as magnetic parameter M, plate velocity α,Prandtl number Pr,Eckert number Ec and heat source/sink parameter S. It has been found that these parameters have significantly effects on the flow and heat transfer