Lagrangian and Eulerian descriptions of inertial particles in random flows

S. A. Derevyanko, G. Falkovich, K. Turitsyn, S. Turitsyn

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

We study how the spatial distribution of inertial particles evolves with time in a random flow. We describe an explosive appearance of caustics and show how they influence an exponential growth of clusters due to smooth parts of the flow, leading in particular to an exponential growth of the average distance between particles. We demonstrate how caustics restrict applicability of Lagrangian description to inertial particles.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalJournal of Turbulence
Volume8
DOIs
StatePublished - 1 Dec 2007
Externally publishedYes

Keywords

  • Caustics
  • Inertial particles
  • Lyapunov exponents
  • Two-phase flows

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