Geodesic
Model of protective film formation in vicinity of slit channel during convective-film cooling of plate
Matematičeskoe modelirovanie, Tome 35 (2023) no. 7, pp. 3-18

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The paper presents a nonstationary model of the flow of viscous compressed heat-conducting gas, allowing describing the thermal and velocity fields formed by the main high-temperature gas flowing the outer wall of the wall, internal coolant and jet, creating a cooling film on the protected surface. Gas dynamics is described on the basis of the numerical solution of the system of Navier-Stokes equations by an explicit McCormac scheme with the splitting of the initial operator by spatial directions and a nonlinear correction scheme. The block finite-difference mesh is constructed by the Thompson method with the clustering of nodes in the near-wall region. The Spalart-Allmaras model is used as a model for small scale turbulence. An iterative Seidel method is written for the stationary equation of thermal conductivity in generalized curvilinear coordinates. The fields and ranges of gas dynamic functions on both sides of the plate are determined at different inclination angles of a jet injected from a flat slot. The temperature field of the plate and the film cooling efficiency parameter are defined in a quasi-static approximation. The temperature of the plate surfaces is found using velocity and thermal wall functions.
Keywords: gas dynamics equations, generalized curvilinear coordinates, explicit McCormack scheme, Spalart-Allmaras model, wall functions, convective film cooling. 
@article{MM_2023_35_7_a0,
     author = {A. L. Tukmakov and V. V. Kharkov and A. A. Ahunov and N. A. Tukmakova},
     title = {Model of protective film formation in vicinity of slit channel during convective-film cooling of plate},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--18},
     publisher = {mathdoc},
     volume = {35},
     number = {7},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2023_35_7_a0/}
}
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A. L. Tukmakov; V. V. Kharkov; A. A. Ahunov; N. A. Tukmakova. Model of protective film formation in vicinity of slit channel during convective-film cooling of plate. Matematičeskoe modelirovanie, Tome 35 (2023) no. 7, pp. 3-18. http://geodesic.mathdoc.fr/item/MM_2023_35_7_a0/