脉动压力脉动速度变形平均项的表达式

林多敏; 蔡树棠

脉动压力脉动速度变形平均项的表达式

林多敏¹,
蔡树棠²

1.
上海市应用数学和力学所;
2.
中国科技大学上海工业大学

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出版历程
- 收稿日期: 1990-09-14
- 刊出日期: 1991-09-15

Expressions for Pressure-Velocity-Gradient Correlations

Lin Duo-min¹,
Cai Shu-tang²

1.
Shanghai Institute of Applied Math, and Mech., Shanghai, Shanghai University of Technology, Shanghai;
2.
Dept. of Mod. Mech., University of Science and Technology of China, Hefei; Shanghai Institute of Appied Math, and Mech., Shanghai

摘要

摘要: 脉动压力脉动速度变形平均项,最初是Rotta^[21]改写压力梯度做功项得来的.但是,这项处理起来都很困难,从Rotta开始,以后Launder等人都对这项做过一些假定.本文根据脉动速度所满足的方程解出脉动压力,然后进而求出脉动压力乘上脉动速度变形的平均值,得到了脉动压力脉动速度变形平均项的完整表达式.这个表达式说明了Rotta和Launder等人的有限表达式是有一定道理的.本文所得的完整表达式分为两种情形加以讨论.一种是几种涡旋不分开的情形,另一种是三种涡旋分开考虑的情形.由此,本文为雷诺应力模式和三涡旋模式等湍流模式提供了完整的脉动压力脉动速度变形平均项的表达式.
- 压力-应变关联项 /
- 湍流模式理论 /
- 二阶矩封闭
Abstract: The term for pressure-velocity-gradient correlation was initiated by Ratio's^[21] rewriting the correlation between the pressure fluctuation gradient and velocity fluctuation.However,it is very difficult to consider the effect of this term.Since Rotta's work,Launder et al^[7] has made some estimates of this term.In this paper according to the equations for velocity fluctuation,the pressure fluctuation is solved so that the average value of the product of the pressure fluctuation and the velocity fluctuation gradient is obtained.Thus,the whole expressions for the pressure-velocity-gradient correlation are derived.The result explains that the limited expressions by Rotta and Launder are reasonable to a certain degree.The whole expressions in this paper are discussed respectively in two situations: one is without a separate consideration of large and small vortexes; the other is with a separate consideration of three kinds of vortexes.Therefore,the paper gives the whole expressions for pressure-velocity-gradient correlation to the Reynolds stress turbulence model^[7] and the three-vortex turbulence model^[13].
- pressure-velocity-gradient correlation /
- turbulence model theory /
- second-order closure

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参考文献(22)

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