The Lie group transformation method is applied for solving the problem of mixed convection flow
with mass transfer over a permeable stretching surface with Soret and Dufour effects. The application of
Lie group method reduces the number of independent variables by one and consequently the system of
governing partial differential equations reduces to a system of ordinary differential equations with appropriate
boundary conditions. Further, the reduced non-linear ordinary differential equations are solved
numerically by using the shooting method. The effects of various parameters governing the flow and
heat transfer are shown through graphs and discussed. Our aim is to detect new similarity variables
which transform our system of partial differential equations to a system of ordinary differential equations.
In this work a special attention is given to investigate the effect of the Soret and Dufour numbers on the
velocity, temperature and concentration fields above the sheet. |
