MHD NANOFLUID FLOW WITH VISCOUS DISSIPATION AND JOULE HEATING THROUGH A PERMEABLE CHANNEL

摘要

Magnetohydrodynamic (MHD) nanofluid flow considered to be steady, incompressible and electrically conducting, flows through permeable plates in the presence of convective heating, models as a system of nonlinear partial differential equations which are solved analytically by the Differential Transform Method (DTM). Copper, aluminum oxide and titanium dioxide nanoparticles are considered with Carboxyl Methyl Cellulose (CMC)-water as the base fluid. Variation of the effects of pertinent parameters on fluid velocity and temperature is analyzed parametrically. Verification between analytical (DTM) and numerical (fourth-order Runge-Kutta scheme) results and previous published research is shown to be quite agreeable. The temperature of Cu-water is found to be low in comparison with Al2O3 and TiO2 which is reasonable for high thermal conductivity of copper. Furthermore increasing the volume fraction of nanoparticles causes enhancement of thermal conductivity and decrease in temperature.