B.B. Singh

MHD Stagnation-Point Dissipative Flow in a Porous Medium with Joule Heating and Second-Order Slip

The present paper deals with the MHD stagnation-point dissipative flow in a porous medium over a flat plate with variable wall temperature. The effects of viscous dissipation, Joule heating, and second-order slip on the flow field have been studied both numerically and graphically for several values of governing parameters. The physical model of the problem is governed by coupled partial differential equations reducible to a set of coupled nonlinear ordinary differential equations (ODEs) using similarity transformations. The system of the coupled nonlinear ODEs has been solved analytically using optimal homotopy analysis method (OHAM). The results obtained in the present analysis have been compared with the results available in the literature, and have been found in excellent agreement.

Radiation Effect on Heat and Mass Transfer by Natural Convection from a Horizontal Surface Embedded in a Porous Medium

This paper deals with the study of the heat and mass transfer characteristics of natural convection from a horizontalsurface embedded in a radiating fluid saturated porous medium. Similarity solutions for buoyancy induced heat and masstransfer from a horizontal surface, where the wall temperature and concentration are a power function of distance fromthe origin, are obtained by using an integral approach of Von Karman type. The effects of the governing parameters suchas buoyancy ratio, Lewis number, radiation parameter and the power-law exponent on local Nusselt and local Sherwoodnumbers have been investigated both numerically and graphically.

Analytical solution of MHD slip flow past a constant wedge within a porous medium using DTM-Padé

Abstract The objective of present study is to investigate the two-dimensional magnetohydrodynamic (MHD) flow of a viscous fluid over a constant wedge immersed in a porous medium with velocity slip condition. The flow is induced by suction/injection and also by the mainstream flow that is assumed to vary in a power-law manner with co-ordinate distance along the boundary. Similarity transformations are used to convert the governing nonlinear boundary layer equations into a third order Falkner–Skan equation. This equation is solved analytically by using a novel analytical method called DTM-Pade technique which is a combination of the differential transformation method and the Pade approximation. This method is applied to give solutions of equation with boundary condition at infinity. Graphical results are presented to investigate the effects of the velocity slip parameter, Hartmann number, permeability, suction/injection parameter and nonlinear pressure gradient on the flow-field. Further, the results of the present analysis have been compared with the corresponding results available in literature. Our results have been found in excellent agreement.

An Integral Treatment for Dissipative Boundary Layer Flow along a Radiating Vertical Surface by Natural Convection in a Porous Medium

In the present study, an integral method of Von Karman type has been used to analyse the phenomenon of natural convection heat and mass transfer near a vertical surface embedded in a fluidsaturated porous medium considering the viscous dissipation and radiation effects. The buoyancy effect is due to the variation of temperature and concentration across the boundary layer. The effects of the governing parameters e.g. buoyancy ratio (N), Lewis number (Le), Eckert number (Ec) and radiation parameter (R) on local Nusselt number, local Sherwood number, velocity profile, temperature profile and concentration profile have been investigated. The results obtained in the present analysis have been compared with the published results available in the literature and they have been found in precise agreement.

Radiative MHD Stagnation-Point Flow with Heat Transfer Past a Permeable Stretching/Shrinking Sheet in a Porous Medium

In the present study, an analytical analysis has been carried out to investigate the MHD stagnation-point flow and heat transfer past a permeable stretching/shrinking sheet in a porous medium in the presence of thermal radiation. Similarity transformations have been employed to simplify the momentum and energy equations into coupled nonlinear ordinary differential equations. The resulting nonlinear ordinary differential equations are then solved analytically through BVPh 2.0 Mathematica package based on homotopy analysis method (HAM). Effects of various parameters such as Prandtl number, permeability parameter, magnetic parameter, suction/blowing parameter, stretching/shrinking parameter, radiation parameter and wall temperature exponent on velocity and/or temperature profiles are explored and discussed graphically. Our results have been compared with the available literature and have been found in excellent agreement. This study may have applications in metallurgy industry and aerodynamic extrusion of plastic sheet.