The Effect of Magnetic Field on Compressible Boundary Layer by Homotopy Analysis Method

Abstract

We analyse the effect of applied magnetic field on the flow of compressible fluid with an adverse pressure gradient. The governing partial differential equations are solved analytically by Homotopy analysis method (HAM) and numerically by finite difference method. A detailed analysis is carried out for different values of the magnetic parameter, where suction/ injection is imposed at the wall. It is also observed that flow separation is seen in boundary layer region for large injection. HAM is a series solution which consists of a convergence parameter h which is estimated numerically by plotting <em>h</em> curve. Singularities of the solution are identified by Pade approximation.

Application of HAM to laminar boundary layer flow over a wedge with an external magnetic field

“…For the governing equations to be solved numerically, the Box scheme and Newton's method are used, which is described in Refs. [8], [21], and [22]. Our main objective is to compare the HAM solution and FDM solutions.…”

“…Nandeppanavar et al 21 analyzed the effect of injection/suction on steady compressible fluid flow in the boundary layer region, they have applied FDM and compared the results numerically with the analytical solution obtained by homotopy analysis method (HAM). Madhusudhan et al 22 studied the effect of magnetic field on compressible boundary layer by HAM and the results are henceforth compared numerically by FDM. Nandeppanavar et al 23 analyzed the effect of optimal homotopy asymptotic solutions for nonlinear ordinary differential equations (ODEs) arising in flow and heat transfer due to a nonlinearly stretching sheet.…”