EXPRESSIONS FOR PRESSURE-VELOCITY-GRADIENT CORRELATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (9): 831-839.

EXPRESSIONS FOR PRESSURE-VELOCITY-GRADIENT CORRELATIONS

林多敏^1,2, 蔡树棠^1,3

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

收稿日期:1990-09-14 出版日期:1991-09-18 发布日期:1991-09-18

EXPRESSIONS FOR PRESSURE-VELOCITY-GRADIENT CORRELATIONS

Lin Duo-min^1,2, Tsai Shu-tang^1,3

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

Received:1990-09-14 Online:1991-09-18 Published:1991-09-18

摘要/Abstract

摘要： 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]

关键词: pressure-velocity-gradient correlation, turbulence model theory, second-order closure

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]

Key words: pressure-velocity-gradient correlation, turbulence model theory, second-order closure

林多敏;蔡树棠. EXPRESSIONS FOR PRESSURE-VELOCITY-GRADIENT CORRELATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 831-839.

Lin Duo-min;Tsai Shu-tang. EXPRESSIONS FOR PRESSURE-VELOCITY-GRADIENT CORRELATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 831-839.

参考文献

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EXPRESSIONS FOR PRESSURE-VELOCITY-GRADIENT CORRELATIONS

EXPRESSIONS FOR PRESSURE-VELOCITY-GRADIENT CORRELATIONS

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