陈倩. 分数维空间中湍流的功率谱分析[J]. 华南师范大学学报(自然科学版), 2009, 1(3): 47-49 .
引用本文: 陈倩. 分数维空间中湍流的功率谱分析[J]. 华南师范大学学报(自然科学版), 2009, 1(3): 47-49 .
Chen Qian. TURBULENCE ANALYSIS OF POWER DENSITY SPECTRUM IN FRACTAL DIMENSION[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(3): 47-49 .
Citation: Chen Qian. TURBULENCE ANALYSIS OF POWER DENSITY SPECTRUM IN FRACTAL DIMENSION[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(3): 47-49 .

分数维空间中湍流的功率谱分析

TURBULENCE ANALYSIS OF POWER DENSITY SPECTRUM IN FRACTAL DIMENSION

  • 摘要: 根据湍流在统计上的自相似性,推导了分数维空间中湍流功率谱的表达式,探讨了湍流随机性与规则性之间的联系.在此基础上研究了通过分形维数求取湍流功率谱的新方法,并对2英寸水流道中的湍流进行了能谱分析,与已有实验结果的比较证明了该法的可行性和优越性.

     

    Abstract: The expression of the power spectrum of the turbulence in the fractal dimension is derived based on the statistical self-similarity of the turbulence, which explores the relationship between the randomicity and the regularity of the turbulence.Based on this, a novel method evaluating the power spectrum by the fractal dimension is investigated; also the power spectrum of a 2-inch waterway turbulence is analyzed.By comparing the result with the data obtained from the existing experiments, it is shown that the method is feasible and has its advantage.

     

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