RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2021 Volume 61, Number 11, Pages 1937–1952 (Mi zvmmf11323)

Mathematical physics

Hydrodynamic flows in heated pipes with boundary layer computed using the BGK model

E. A. Zabrodina, O. V. Nikolaeva, N. N. Fimin, V. M. Chechetkin

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

Abstract: The model problem of heat transfer from a nonuniformly heated pipe wall to the basic flow is considered, or, in other words, the initial stages of fluid temperature and pressure relaxation in a heated pipe are addressed. The computations are based on computer codes using various combinations of the Navier–Stokes equations, a modified Burnett equation, and the kinetic BGK equation.

Key words: Boltzmann equations, Navier–Stokes equations, Burnett equations, macroscopic flow variables, Chapman–Enskog method, BGK equation.

UDC: 517.9

Received: 09.11.2020
Revised: 09.11.2020
Accepted: 07.04.2021

DOI: 10.31857/S0044466921110168


 English version:
Computational Mathematics and Mathematical Physics, 2021, 61:11, 1895–1909

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024