Relative diffusion of a pair of fluid particles in the inertial subrange of turbulence

Takashi Ishihara; Yukio Kaneda

doi:10.1063/1.1508443

Relative diffusion of a pair of fluid particles in the inertial subrange of turbulence

Takashi Ishihara, Yukio Kaneda

Research output: Contribution to journal › Article › peer-review

57 Citations (Scopus)

Abstract

Turbulent diffusion of a pair of fluid particles in 3-dimensional homogeneous and isotropic turbulence was studied using a high-resolution direct numerical simulation (DNS) with 1024³ grid points. The DNS showed that the mean square of the distance δx between the two fluid particles grows with time t as <δx²>∼ C εt³ in the inertial subrange, which is in agreement with Richardson (1926) and Obukhov (1941), where C ≈ 0.7 and ε is the mean dissipation rate per unit mass. A simple Lagrangian closure approximation for <δx²> is shown to be in good agreement with the DNS.

Original language	English
Pages (from-to)	L69-L72
Journal	Physics of Fluids
Volume	14
Issue number	11
DOIs	https://doi.org/10.1063/1.1508443
Publication status	Published - Nov 2002
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.1508443

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Relative diffusion of a pair of fluid particles in the inertial subrange of turbulence

Abstract

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