Similarity solutions of the boundary layer equations for the unsteady mixed convection flows over a vertical porus flat plate by the method of group theory

Abstract

The similarity solutions of un~leady mixed convection boundary layer equations over a fl"l porous vertical plate has been inve,tigated by the method of one parameter cODtinuou> Group Theory. By repealed apphcatioll<;of this method which redu<:es the number of independent v"riable~, firstly [rom three to two and finally frol11two 10one, lhe governing boundary layer partial differential equations arc transformed into a pair of nonlinear ordinary differential equations with appropriate boundary condition~. One set of the coupled nonlinear equations arc solved numerically. The resullS thus obtained arc compared with all other relevant work-; in literature. The heal transfer and skin frittion faclols {q.(O),r w(O)}arc jnve,ligated und Rhown graphically for some values 01 contl'Olling p;lrameters by uRing Programming software FORTRAN 77 and visualizing software TECI'LOT II would be shown that both lhe skin friclion und heal lran<;fercoeffIcient illcreas~s with suction and decreuses wnh injeclion.