Model of Protective Film Formation in the Vicinity of a Slit Channel During the Convective-Film Cooling of a Plate

Abstract

Based on the solution of the Reynolds-averaged system of equations of motion of a viscous compressible heat-conducting gas, the thermal and velocity fields of the gas during the formation of convective-film protection of a flat plate are calculated. The gas dynamics are solved using the explicit McCormack method with the splitting of the initial operator along spatial directions and a nonlinear correction scheme. The Spalart−Allmaras turbulence model is used together with the near-wall velocity function. The block finite-difference mesh is constructed by the Thompson method. The fields of the gas dynamic functions on both sides of the plate are determined at different inclination angles of a jet injected from a flat slit. The temperature field of the plate and the film cooling efficiency parameter are defined in a quasi-static approximation. Estimates of the temperature of the plate surfaces are obtained using the velocity and thermal near-wall functions.