Transport Processes as Foundations of the Heisenberg and Obukhoff Theories of Turbulence

Transport Processes as Foundations of the Heisenberg and Obukhoff Theories of Turbulence
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作为海森堡和奥布霍夫湍流理论基础的传输过程

DOI:
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发表时间:
1954
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影响因子:
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通讯作者:
C. Tchen
C. Tchen
中科院分区:
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文献类型:
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作者:
C. Tchen

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通过对Navier-Stokes方程的调和分析,研究了能量在光谱上的传递。进入转移的相位相关性由输运过程的统计考虑确定。所获得的结果允许的理论解释给出海森堡和Obukhoff假设,划定其适用性的条件。通过将上述输运过程的考虑扩展到剪切流,从平均流中产生的湍流能量可以用谱项来确定。作为一个应用,能量和剪切的频谱法律推导,并与测量进行比较。
The transfer of energy across the spectrum is investigated by the method of the harmonic analysis of the Navier-Stokes equation. The phase correlation which enters into the transfer is determined by the statistical considerations of transport processes. The results obtained allow a theoretical explanation to be given to the Heisenberg and Obukhoff postulates, delimiting the conditions of their applicability. By extending the above considerations of transport processes to shear flow, the production of turbulent energy from the mean flow is determined in spectral terms. As an application, the spectral laws for energy and shear are derived, and compared with measurements.