APPROXIMATE SOLUTION OF THE PROBLEM OF FLOW IN A FAR PLANE MOMENTUMLESS TURBULENT WAKE

The flow in a far plane momentumless turbulent wake is described using a mathematical model obtained from the algebraic Rodi model of Reynolds stresses. The model is similar to the two-parameter ( ) turbulence model in the far-wake approximation with a modified empirical constant in the diffusion te...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2023-12, Vol.64 (6), p.987-992
Main Author: Shmidt, A. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Asymptotic series
Boundary value problems
Classical and Continuum Physics
Classical Mechanics
Differential equations
Empirical equations
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Parameter modification
Physics
Physics and Astronomy
Self-similarity
Turbulence models
Turbulent flow
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Summary:The flow in a far plane momentumless turbulent wake is described using a mathematical model obtained from the algebraic Rodi model of Reynolds stresses. The model is similar to the two-parameter ( ) turbulence model in the far-wake approximation with a modified empirical constant in the diffusion terms of the equations. A group-theoretical analysis of the mathematical model of the wake is carried out, and a self-similar reduction of the model equations to a system of ordinary differential equations is performed. An approximate solution of the corresponding boundary-value problem is constructed using an asymptotic expansion of the solution in the vicinity of a singular point.
ISSN:0021-8944
1573-8620
DOI:10.1134/S002189442306007X