Analytical study of heat transfer and boundary layer flow with suction and injection

The Governing Principle of Dissipative Processes (GPDP) formulated by Gyarmati into non-equilibrium thermodynamics is employed to study the effects of heat transfer, two dimensional, laminar and constant property fluid flow in the boundary layer with suction and injection. The flow and temperature fields inside the boundary layer are approximated by simple third degree polynomial functions and the variational principle is formulated over the region of the boundary layer. The Euler–Lagrange equations of the principle are obtained as polynomial equations in terms of momentum and thermal layer thicknesses. These equations are solvable for any given values of Prandtl number Pr, wedge angle parameter m and suction/injection parameter H. The obtained analytical solutions are compared with known numerical solutions and the comparison shows the fact that the accuracy is remarkable.