NUMERICAL ANALYSIS OF HEAT AND MASS TRANSFER ON FLUID PAST A SHEET
Gyarmati’s variational principle; boundary layer; heat and mass transfer; thermophoresis; thermal radiation
In this work, a variational technique is applied to fluid flow over a sheet. The heat and mass transfer effects have been investigated and analyzed by this technique. The flow fields inside the boundary layer are approximated as polynomial functions. Euler-Lagrange equations for the functional of variational principle are constructed. The non-linear boundary layer equations are simplified as simple polynomial equations in terms of momentum, thermal and concentration boundary layer thicknesses. The temperature, concentration profiles, local heat and mass transfer rates are analyzed and are compared with existing numerical results. The comparison shows remarkable accuracy.