Lin Duo-min, Tsai Shu-tang. The Separation of Large Vortexes and the Closed Equations of Turbulence Model[J]. Applied Mathematics and Mechanics, 1989, 10(10): 853-864.
Citation:
Lin Duo-min, Tsai Shu-tang. The Separation of Large Vortexes and the Closed Equations of Turbulence Model[J]. Applied Mathematics and Mechanics, 1989, 10(10): 853-864.
Lin Duo-min, Tsai Shu-tang. The Separation of Large Vortexes and the Closed Equations of Turbulence Model[J]. Applied Mathematics and Mechanics, 1989, 10(10): 853-864.
Citation:
Lin Duo-min, Tsai Shu-tang. The Separation of Large Vortexes and the Closed Equations of Turbulence Model[J]. Applied Mathematics and Mechanics, 1989, 10(10): 853-864.
This paper presents a new kind of everage for the loeally-generated large vortexes so that the physieal quantities of the locally-generated large vortexes and the external large vortexes canberigorously separated from the equal ions for the large vortexes proposed in a previous paper[1] To the equations for the two kinds of large vortexes,some auxiliary relations are introduced,and the value,of the length-scale lN of energy dissipation of the external large vortexes may he determined according to the actual circumstances of the disturbance of external sources.Thus the resulting equations of the second moments of turbulent velocity fluctuations for the two kinds of large vortexes can be made closed.Meanwhile,the corresponding coefficients of diffusion in the previous paper[1] are improved,Finally,a closed set of numerically-solvable equations of turbulence model are obtained.
Chou,P.Y.(周培源),On the velocity corrclations and the solutions of the equations of turbulent fluctuation,Quart.of Appl.Math.,3,1(1945),38-54.
[4]
Chou,P.Y.(周培源),On the velocity correlations and the equation of turbulent vorticity fluctuation,The Science Reports of National Tsinghua Univ.,5,I,Scries A(1948),52-70.