| 三维不可压缩均匀各向同性湍流一维能谱 |
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| 引用本文： | 王尧尧,袁邢杰,冉政.三维不可压缩均匀各向同性湍流一维能谱[J].中国科学(G辑),2013(9):1111-1118. |
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| 作者姓名： | 王尧尧 袁邢杰 冉政 |
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| 作者单位： | 上海大学上海市应用数学和力学研究所,上海200072 |
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| 基金项目： | 国家自然科学基金资助项目（批准号：11172162,90816013） |
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| 摘 要： | 基于三维不可压缩均匀各向同性湍流的Karman—Howarth方程的精确解，详细讨论了对应一维能谱的动力学行为．特别关注的是在何种自变量函数的标度下，可以得到理论与实验相接近的对比结果．给出的理论预测结论与实验数据（Comte—Bellot和Corrsin，1971），至少在低湍流Reynolds数下具有较好的一致性．
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| 关 键 词： | 充分发展湍流 均匀各向同性湍流 Karman-Howarth方程 精确解 |
One-dimensional energy spectra in three-dimensional incompressible homogeneous isotropic turbulence |
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| Authors: | WANG YaoYao YUAN XingJie ＆ RAN Zheng |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | The paper investigates the detailed features of one-dimensional energy spectra in three-dimensional isotropic turbulence, based on the exact solution of Karman-Howarth equation. Particular interest will be paid on the degree to which spectral scaling can lead the spectral data to be collapsed. The theory appears to be consistent with the wealth of experimental data （Comte-Bellot and Corrsin, 1971） at least in low Taylor microscale Reynolds number. |
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| Keywords: | fully developed turbulence homogeneous isotropic turbulence Karman-Howarth equation exactly solutions |
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