MHD flow in a vertical channel under the effect of temperature dependent physical parameters

Mixed convective flow in a vertical channel filled with electrically conducting viscous fluid with isothermal wall conditions is investigated for variable properties. The combined effects of temperature dependent viscosity and temperature dependent thermal conductivity are analyzed. The solutions are obtained both analytically by perturbation method and numerically by Runge–Kutta method with shooting technique. The dimensionless governing parameters affecting velocity and temperature fields are variable viscosity parameter (−0.5 ≤ bν ≤ 0.5), variable thermal conductivity parameter (−0.5 ≤ bk ≤ 0.5), Hartmann number (1 ≤ M ≤ 3), applied electric field parameter (E0 = ±1, 0), wall temperature ratio parameter (−2 ≤ m ≤ 2) and buoyancy parameter (0 < N ≤ 1.5). For some limiting cases, the obtained results are validated by comparing with those available from the existing literature. Correlations for skin friction and Nusselt number in terms of governing parameters are developed