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

Abstract

The ctTecls of the temperature dependent thermal condllctivity on Magnelohydrodynamic (MHO) free convection flow along a vertical flat plate with heat conduction und viscous dissipation have been investigated. The governing eqll1tlLOnS,,;ll1 associulcd boundary conditions for this phenomenon arc co,,,crlcd tel ciimcilsionb, form u~ing suitable transformations, the governing equations containing the equation of continuity, momentum and energy. The transformed uon.lillcar ordinary partial differential equation, are then solved using 11m implicit [,nile differellce method with Kelier-box scheme. rORTRAN 90 is used (0 perform cOl1lputalionuljob and the post processing software TECPLOT has been used to display the numerical results graphically. Thc re;ullS in tenn~ of skin friction and surface telnpcralUre arc shown ill tabu lar forms. Numerical rcsu II; of the veloci\y profiles, temperature pJ"Oliies, skin ti"iclioll co_efficient aml surface temperature distribution for different valucs of lhe magnetic parameter M, thermal conductivity varj~\ion param~\el' ); vi,eous di"ipmioll parallleteL"Nand Prandtl number j'r are presented gmphieally.Dclailcd di,cUS5i(lll is given fol' the effects of thc aforementioncd parameters.