Analytic Solution for MHD Falkner-Skan Flow over a Porous Surface

Analytic Solution for MHD Falkner-Skan Flow over a Porous Surface

Analytic Approximate Solution for Falkner-Skan Equation

This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. The obtained re...

Falkner–Skan Flow over a Wedge with Slip Boundary Conditions

b = velocity coefficient cp = specific heat f = nondimensional stream function K = nonequilibrium parameter Kn = Knudsen number k = thermal conductivity l = slip length M = Mach number m = flow exponent n = distance in the normal direction P = pressure Pr = Prandtl number Re = Reynolds number T = temperature U = external x velocity u = x velocity v = y velocity x = position in the flow directio...

An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method

Based on a new approximation method, namely pseudospectral method, a solution for the three order nonlinear ordinary differential laminar boundary layer Falkner-Skan equation has been obtained on the semi-infinite domain. The proposed approach is equipped by the orthogonal Hermite functions that have perfect properties to achieve this goal. This method solves the problem on the semi-infinite do...

MHD Falkner-Skan Boundary Layer Flow past a Moving Wedge with Suction (Injection)

The behaviour of laminar boundary layer flow field over a solid surface moving with constant speed plays a significant role in several applications of science and technology. This paper examines the steady, laminar incompressible boundary-layer flow of a viscous electrically conducting fluid past a moving wedge with suction (injection) in the presence of an applied magnetic field. The set of pa...