Related self-similar statistics of the turbulent/non-turbulent interface and the turbulence dissipation

Related self-similar statistics of the turbulent/non-turbulent interface and the turbulence dissipation
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DOI:
10.1017/jfm.2017.262
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发表时间:
2017-05
影响因子:
3.7
通讯作者:
Y. Zhou;J. C. Vassilicos
Y. Zhou;J. C. Vassilicos
中科院分区:
工程技术2区
文献类型:
--
作者:
Y. Zhou;J. C. Vassilicos

文献摘要

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在轴对称自相似湍流尾流中,湍流/非湍流界面的局部卷吸速度v_{n}$与湍流耗散率的标度密切相关。Kolmogorov平衡叶栅现象所隐含的湍流耗散标度与Kolmogorov标度v_{n}$一致,而Vassilicos中各种湍流的非平衡耗散标度报告(Annu.修订版流体机械,第47卷,2015年,pp. 95-114)、Dairay等人(J. Fluid Mech.,第781卷,2015年,pp. 166-195),后藤& Vassilicos(Phys. Lett. A,第379(16)卷,2015年,第379页。1144-1148)和Obligado等人(Phys. Rev. Fluids,第1(4)卷,2016年,044409)与不同的缩放比例$v_{n}$一致。我们提出了一个空间发展的轴对称和自相似的湍流尾流,支持这一结论和假设,它是基于直接数值模拟的结果。
The scalings of the local entrainment velocity $v_{n}$ of the turbulent/non-turbulent interface and of the turbulence dissipation rate are closely related to each other in an axisymmetric and self-similar turbulent wake. The turbulence dissipation scaling implied by the Kolmogorov equilibrium cascade phenomenology is consistent with a Kolmogorov scaling of $v_{n}$ whereas the non-equilibrium dissipation scaling reported for various turbulent flows in Vassilicos (Annu. Rev. Fluid Mech., vol. 47, 2015, pp. 95–114), Dairay et al. (J. Fluid Mech., vol. 781, 2015, pp. 166–195), Goto & Vassilicos (Phys. Lett. A, vol. 379 (16), 2015, pp. 1144–1148) and Obligado et al. (Phys. Rev. Fluids, vol. 1 (4), 2016, 044409) is consistent with a different scaling of $v_{n}$ . We present results from a direct numerical simulation of a spatially developing axisymmetric and self-similar turbulent wake which supports this conclusion and the assumptions that it is based on.