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

• Published in: Mathematical models and computer simulations Vol. 15; no. Suppl 1; pp. S1 - S11
• Main Authors: Tukmakov, A. L., Kharkov, V. V., Akhunov, A. A., Tukmakova, N. A.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.12.2023; Springer Nature B.V
• Subjects: Compressibility; Equations of motion; Film cooling; Finite difference method; Finite element method; Flat plates; Gas dynamics; Heat transmission; Inclination angle; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Operators (mathematics); Simulation and Modeling; Temperature distribution; Turbulence models; Velocity distribution; explicit McCormack scheme; gas dynamics equations; Spalart-Allmaras model; near-wall functions; convective-film cooling; generalized curvilinear coordinates
• ISSN: 2070-0482; 2070-0490
• DOI: 10.1134/S2070048223070153

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.