The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number

The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number
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DOI:
10.1002/cpa.22022
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发表时间:
2019-11
影响因子:
3
通讯作者:
J. Bedrossian;A. Blumenthal;Samuel Punshon-Smith
J. Bedrossian;A. Blumenthal;Samuel Punshon-Smith
中科院分区:
数学1区
文献类型:
--
作者:
J. Bedrossian;A. Blumenthal;Samuel Punshon-Smith

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1959年,Batchelor预言,在小扩散系数k的流体中流动的被动标量的平稳统计量沿流体模型的粘性-对流范围内的惯性范围显示k−1功率谱。这一预测在实验和数值上都得到了广泛的检验,是被动标量湍流的核心预测。
In 1959 Batchelor predicted that the stationary statistics of passive scalars advected in fluids with small diffusivity k should display a k−1 power spectrum along an inertial range contained in the viscous‐convective range of the fluid model. This prediction has been extensively tested, both experimentally and numerically, and is a core prediction of passive scalar turbulence.