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Non-Darcy non-Newtonian free convection flow over a vertical plate under the influence of Soret and Dufour effect

Mahdy A.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 4

1125-1132

A non-similar boundary layer analysis is carried out to study the effect of Soret and Dufour on heat and mass transfer for a power-law, non-Newtonian fluid. Thermo-diffusion implies that the heat transfer is induced by concentration gradient, and thermo-diffusion implies that the mass diffusion is induced by thermal gradient. The resultant governing boundary-layer equations, highly non-linear and a coupled form of partial differential equations have been solved by employing a numerical, Runge-Kutta fourth order technique with a modified version of the Newton-Raphson shooting method. A parametric study of all parameters involved is conducted, and a representative of the results for the velocity, temperature, concentration profiles as well as the Nusselt and the Sherwood numbers are illustrated graphically to elucidate interesting features of the solutions.