Joule heating effect on magnetohydrodynamic natural convection flow along a vertical wavy surface

Abstract

In this paper, the effect of Joule heating on magnetohydrodynamic natural convection flow of viscous incompressible fluid along a uniformly heated vertical wavy surface has been investigated. The governing boundary layer equations with associated boundary conditions for this phenomenon are converted to nondimensional form using a suitable transformation. The equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as the Keller-box scheme. Effects of pertinent parameters, such as the Joule heating parameter (J), Prandtl number (Pr), magnetic parameter (M) and the amplitude of the wavy surface ? on the surface shear stress in terms of the skin friction coefficient (C_fx), the rate of heat transfer in terms of local Nusselt number (Nu_x), the streamlines and the isotherms are discussed. A comparison with previously published work is performed and the results show excellent agreement.

DOI: http://dx.doi.org/10.3329/jname.v9i1.5954

Journal of Naval Architecture and Marine Engineering 9(2012) 11-24