Abstract:
The effects of temperature dependent thermal conductivity on Magnetohydrodynamic
(MHD) free convection flow along a vertical flat plate have been investigated. The
governing equations with associated boundary conditions for this phenomenon are
converted to dimensionless form using suitable transformations. The transformed non-linear
partial differential equations are then solved using the implicit finite difference method with
Keller–box scheme. FORTRAN 90 is used to perform computational job and the post
processing software TECPLOT has been used to display the numerical results graphically.
Numerical results of the velocity profiles, temperature profiles, skin friction coefficient and
surface temperature distribution for different values of the magnetic parameter M, thermal
conductivity variation parameter g, Prandtl number Pr, heat generation parameter Q, joule
heating parameter J and viscous dissipation parameter N are presented graphically. The
comparison of the present numerical results in terms of skin friction coefficient and surface
temperature with some published results is shown in tabular forms.