Volume 31 • Number 1 • 2008   • Analytic Solution of a Free and Forced Convection with Suction and Injection Over a Non-Isothermal Wedge Chandrasekar and M. Shanmugapriya Abstract. The Governing Principle of Dissipative Processes (GPDP) formulated by Gyarmati into non-equilibrium thermodynamics is employed to study the effects of suction, injection in laminar, two dimensional, combined free and forced convection flow over a non-isothermal wedge. The velocity and temperature functions inside the boundary layers are approximated by simple third order polynomial and the variational principle is formulated. In addition, the Euler-Lagrange equations of the variational principle are obtained as coupled polynomial equations in terms of momentum and thermal boundary layer thicknesses. Moreover, the effect of buoyancy force on heat transfer and skin friction is analysed for different values of Reynolds, Grashof, Prandtl numbers, wedge parameter and wall temperature exponent. Finally, the obtained analytical solutions are compared with known series solutions and the comparison establishes the fact that the accuracy is remarkable. 2000 Mathematics Subject Classification: 76R05, 76R10, 76N20, 82B35. Full text: PDF