Effects of temperature dependent thermal conductivity on the coupling of conduction and joule heating with magnetohydrodynamic free convection flow along a vertical flat plate

Abstract

In this dissertation, the effects of temperature dq)cndent lhenna1 conductivity on the coupling of conduction and Joule heating with viscous di>sipation and Magnctohydrodynamic free convection flow along a vertical flat plate have been investigated numerically. A steady laminar two dimensional MHD free convection flow is considered here. TIle gc}\'cming equations contain the equation of continuity. momentum and energy. TIlcse equations with associated bOlLndalYconditions for thi, phenomenon are converted to dimensionless fonn using suitable transformations. The transformed nonlinear ordinary differential equations are then solved using the imphcit tillite difference method wilh Keller-box scheme. FORTRAN 90 is used to perform computational job ami the post processing software TECPLOT ha, been used to display the numerical rcslllts graphically, The re,ults III lerms of skin frietioll and surface temperature profile for JOllie heating parameler J and viscou, dissipation parameter N are sho'Wnin tablllar form, Numerical results of the velocity profile, temperalure profile, skin friction coefficient and smfacc temperature profile, have been exhibited graphically for different values of lhe magnetic parameter M, thermal conductivity variation parameter ~ viscous dissipation pararnel~r 11-', JOllIehealing parameter J ,eparately "nd the Prandtl numher Pr as welL