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

Takashi Ishihara, Yukio Kaneda

Research output: Contribution to journalArticle

51 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 languageEnglish
Pages (from-to)L69-L72
JournalPhysics of Fluids
Volume14
Issue number11
DOIs
Publication statusPublished - Nov 2002
Externally publishedYes

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Relative diffusion of a pair of fluid particles in the inertial subrange of turbulence'. Together they form a unique fingerprint.

  • Cite this