INFLUENCE OF THERMAL RADIATION ON STEADY COMPRESSIBLE BOUNDARY LAYER FLOW ON A WEDGE

Abstract

The effects of thermal radiation on a boundary layer viscous fluid flowing through a wedge are studied. The compressible boundary layers equations are transformed by stewartson transformation, the resulting partial differential equations are further transformed using dimensionless and similarity variables. Third order and second order coupled non-linear ordinary differential equation corresponding to the momentum and the energy equations are obtained. Remarks on some qualitative properties of the transformed ordinary differential equations such as existence and uniqueness theorems and stability of solution are established via appropriate theorems. An approximate analytical method, Adomian decomposition technique is use to solve the coupled non linear equations which reduces the equations to zero order of differential equation. Pade approximant techniques are now used to obtain the solution of the problem. The Stream function, velocity field FF, and the temperature field', GG are obtained. The graphical features on velocity and temperature fields are considered by varying radiative parameter Q, while some other parameters such as falkner skan exponent, are fixed. The results show that as the velocity of fluid increases, the radiative parameters Q increases. Also decrease in temperature G causes increase in the parameters. The physical implications of the results obtained are equally discussed.