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

^*Corresponding author for this work

Aston Institute of Photonic Technologies (AiPT)

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

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
Article number	16
Pages (from-to)	1-18
Number of pages	18
Journal	Journal of Turbulence
Volume	8
DOIs	https://doi.org/10.1080/14685240701332475
Publication status	Published - 2007

Keywords

caustics
inertial particles
lyapunov exponents
two-phase flows

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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.",

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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.

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KW - lyapunov exponents

KW - two-phase flows

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Lagrangian and Eulerian descriptions of inertial particles in random flows

Abstract

Keywords

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