Integral transform analysis of MHD flow and heat transfer in parallel-plates channels

A hybrid solution through the so-called Generalized Integral Transform Technique (GITT) is obtained for the MHD flow and heat transfer of a Newtonian fluid in parallel-plates channels. A simple mathematical formulation for the problem is adopted, which evidences both the transient regime flow sustainable only by a constant pressure gradient; and the steady state situation that considers both a constant pressure gradient and a movement of the upper plate, as well as the action of an inflow and outflow perpendicular to the porous plates. Results for the velocity and temperature fields are computed within the governing parameters, namely, pressure gradient, suction velocity, upper plate velocity and Hartmann numbers, for typical situations. A convergence analysis is also performed showing the consistency of the results. In addition, the present results are confronted with those previously reported ones in the literature showing excellent agreements.