ON THE STATISTICAL VORTES STRUCTURE THEORY OF TURBULENCE
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摘要: 旋涡结构的湍流统计理论是已故周培源教授在20世纪50年代率先提出来的.经过他和他的学生近半个世纪的努力,已经形成具有自身特色的湍流统计理论.在纪念周培源教授诞辰100周年的时候,特贡献本文作为对一代宗师的怀念.本文是这个理论的一个总结和概括,其中包括:作为湍流元的旋涡结构解的寻找,可能存在的不同旋涡结构解的类别和叠加,统计平均方法的选取和操作,统计平均物理量的规律的探索等.Abstract: The statistical vortex structure theory of turbulence was put forward by late professor Zhou in the 1950s'. With the efforts of him and his students during the half century, it hasbecome a statistical theory of turbulence with a special feature. Now in order to commemoration of the 100th anniversary of professor Zhou's birthday, this paper gives a summary and anoutline of this theory, which includes the vortex solutions as turbulent elements, the possible vortex structures, the suitable statistical average methods and the statistical rules of turbulence, etc.
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