The purpose of this study is to solve film cooling problem for flat plate using mathematical model. Two dimensional,
steady, incompressible flow algorithm was developed to simulate the flow passing a flat plate in the direction of surface. The continuity, momentum and energy equations along with the boundary layer phenomenon in partial differential form were converted to
similarity equations and solved. Analysis was performed to study the effect of boundary layer on flat plate cooling. The plate was modeled as porous medium to accommodate the injection holes. The injection-to-main stream temperature ratio (IM), Prandtl number and surface mass flux were varied to compute the
centerline film cooling effectiveness. This study also shows better film protection is observed at high Prandtl number for centerline cooling. It is also shown that the increase of surface mass flux of cool air tend to increase centerline film cooling effectiveness. Similarity solution also shows that there is an optimum number of injection holes for effective film cooling.