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THE SEPARATION OF LARGE VORTEXES AND THE CLOSED EQUATIONS OF TURBULENCE MODEL

THE SEPARATION OF LARGE VORTEXES AND THE CLOSED EQUATIONS OF TUHHULENCE MODEL
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摘要 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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第10期897-908,共12页 应用数学和力学(英文版)
基金 The Project Supported by National Natural Science Foundation of China
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参考文献2

  • 1Tsai Shu-tang,Ma Bai-kun. A new turbulence model with the separate consideration of large and small vortexes[J] 1987,Applied Mathematics and Mechanics(10):901~910
  • 2J. Rotta. Statistische Theorie nichthomogener Turbulenz[J] 1951,Zeitschrift für Physik(6):547~572

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