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Mathematical Models and Computer Simulations

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01-12-2023

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

Authors: A. L. Tukmakov, V. V. Kharkov, A. A. Akhunov, N. A. Tukmakova

Published in: Mathematical Models and Computer Simulations | Special Issue 1/2023

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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.

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Title: Model of Protective Film Formation in the Vicinity of a Slit Channel During the Convective-Film Cooling of a Plate
Authors: A. L. Tukmakov
V. V. Kharkov
A. A. Akhunov
N. A. Tukmakova
Publication date: 01-12-2023
Publisher: Pleiades Publishing
Published in: Mathematical Models and Computer Simulations / Issue Special Issue 1/2023
Print ISSN: 2070-0482
Electronic ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048223070153

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