Magnetohydrodynamic (MHD) Plane Poiseuille Flow With Variable Viscosity and Unequal Wall Temperatures

The plane Poiseuille flow with unequal wall temperatures of an incompressible fluid having temperature dependent viscosity in the presence of transverse magnetic field is studied. The coupled differential equations of momentum and energy are solved numerically by RKF45 (Runge-Kutta-Fehlberg fourth-fifth) method. Numerical results for the dimensionless velocity profiles, the temperature profiles and the heat transfer coefficient are presented and discussed graphically for various parameters. The study provides quantitative information of interest; in general, it is observed that the maximum velocity does not occur in the middle of the channel but moves towards the upper wall as the magnetic field increases. The temperature and heat transfer coefficient increases with the increasing value of magnetic field and EPr.