HEAT AND MASS TRANSFER WITH VISCOUS DISSIPATION AND CONVECTIVE BOUNDARY CONDITIONS

Abstract

This study investigates the effect of chemical reaction and viscous dissipation on heat and mass transfer with convective boundary conditions. A system of partial differential equations describing the problem has been modelled and the technique of similarity analysis employed to transform the model into ordinary differential equations. The reduced system was solved using the Newton-Raphson shooting method alongside with the Forth-order Runge-Kutta algorithm. The results are presented graphically and in tabular form for various controlling parameters. Among others, the results obtained revealed that: The velocity increases with the increase in Eckert, thermal and concentration Grashof numbers. It also decreases with an increase in Schmidt number. The temperature reduces with increasing Prandlt and increases with Eckert, convective heat transfer parameter, thermal and concentration Grashof numbers. The concentration boundary layer decreases with increase in reaction rate parameter, Schmidt, convective heat transfer parameter and thermal and solutal Grashof numbers; and increases slightly with increasing order of chemical reaction.