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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2025 Volume 525, Pages 71–77 (Mi danma715)

MATHEMATICS

About one kinetic model for describing turbulent flows taking into account heat transfer

B. N. Chetverushkin, A. E. Lutsky, E. V. Shilnikov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia

Abstract: A closed system of equations is obtained to describe spatially two-dimensional flows taking into account turbulent heat transfer. Additional equations for pulsation moments and the analysis of the coefficient of turbulent thermal conductivity are derived based on the kinetic equation previously used to derive a quasi-gas dynamic system of equations. The results of simulation the problem of the turbulent flow of a hot plane jet are presented.

Keywords: quasi-gas dynamic system of equations, turbulent heat transfer, closure of the system of equations.

UDC: 532.5.05

Received: 18.06.2025
Revised: 16.09.2025
Accepted: 16.09.2025

DOI: 10.7868/S3034504925050102



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© Steklov Math. Inst. of RAS, 2026