Effects of temperature dependent thermal conductivity on magnetohydrodynamic free convection flow along a vertical flat plate with heat generation

Abstract

The conjugate effects of temperature dependent thermal conductivity on Magnetohydrodynamic free convection flow along a vertical flat plate with heat generation and pressure work have been investigated. The governing equations with associated boundary conditions for this phenomenon are converted to dimensionless form using suitable transformations, the governing equations containing the equation of continuity, momentum and energy. The transformed non-linear system of partial differential equations is then solved using the implicit finite difference method with H. B. Keller (1978)–box scheme. FORTRAN 90 is used to perform computational job and the post processing software TECHPLOT has been used to display the numerical results graphically. Numerical results of the velocity profiles, temperature profiles, skin friction co-efficient and surface temperature distribution for different values of the magnetic parameter M, Prandtl number Pr, thermal conductivity variation parameter γ, heat generation parameter Q and pressure work parameter ε are presented graphically. Detailed discussion is given for the effects of the aforementioned parameters.