Lagrangian and Eulerian descriptions of inertial particles in random flows

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

doi:10.1080/14685240701332475

Lagrangian and Eulerian descriptions of inertial particles in random flows

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

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

29 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 language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Journal of Turbulence
Volume	8
DOIs	https://doi.org/10.1080/14685240701332475
State	Published - 1 Dec 2007
Externally published	Yes

Keywords

Caustics
Inertial particles
Lyapunov exponents
Two-phase flows

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
General Physics and Astronomy

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10.1080/14685240701332475

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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.",

keywords = "Caustics, Inertial particles, Lyapunov exponents, Two-phase flows",

author = "Derevyanko, {S. A.} and G. Falkovich and K. Turitsyn and S. Turitsyn",

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AU - Derevyanko, S. A.

AU - Falkovich, G.

AU - Turitsyn, K.

AU - Turitsyn, S.

N1 - Funding Information: The work was supported by the Israeli Science Foundation, the EPSRC and the Royal Society.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - 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.

AB - 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.

KW - Caustics

KW - Inertial particles

KW - Lyapunov exponents

KW - Two-phase flows

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DO - 10.1080/14685240701332475

M3 - Article

AN - SCOPUS:34548168285

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ER -

Lagrangian and Eulerian descriptions of inertial particles in random flows

Abstract

Keywords

ASJC Scopus subject areas

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