远平面无动量湍流尾流中流动问题的近似解法

IF 0.5 4区工程技术 Q4 MECHANICS

Journal of Applied Mechanics and Technical Physics Pub Date : 2024-02-13 DOI:10.1134/S002189442306007X

A. V. Shmidt

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引用次数: 0

摘要

摘要利用雷诺应力代数罗迪模型得到的数学模型描述了远平面无动量湍流尾流中的流动。该模型类似于远翼近似的双参数（（k{-}\varepsilon\））湍流模型，在方程的扩散项中有一个修正的经验常数。对该湍流模型进行了群论分析，并将模型方程自相似地简化为常微分方程组。利用奇异点附近解的渐近展开，构建了相应边界值问题的近似解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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 (\(k{-}\varepsilon\)) 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.

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来源期刊

Journal of Applied Mechanics and Technical Physics 物理-力学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

4-8 weeks

期刊介绍： Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.