分数维空间中湍流的功率谱分析

详细信息

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．
- 分数维空间 /
- 分形维数 /
- 湍流功率谱 /
- 功率谱指数
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．
- fractional dimensional space /
- fractal dimension /
- turbulence power spectrum /
- power spectrum exponent