Turbulent dispersion of heavy particles with nonlinear drag

Renwei Mei, Ronald Adrian, T. J. Hanratty

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The analysis of Reeks (1977) for particle dispersion in isotropic turbulence is extended so as to include a nonlinear drag law. The principal issue is the evaluation of the inertial time constants, β-1 α, and the mean slip. Unlike what is found for the Stokesian drag, the time constants are functions of the slip velocity and are anisotropic. For settling velocity, VT, much larger than root-mean-square of the fluid velocity fluctuations, u0, the mean slip is given by VT. For VT→0, the mean slip is related to turbulent velocity fluctuation by assuming that fluctuations in βα are small compared to the mean value. An interpolation formula is used to evaluate βα and VT in regions intermediate between conditions of VT→0 and VT≫u0. The limitations of the analysis are explored by carrying out a Monte-Carlo simulation for particle motion in a pseudo turbulence described by a Gaussian distribution and Kraichnan's (1970) energy spectrum.

Original languageEnglish (US)
Pages (from-to)170-179
Number of pages10
JournalJournal of Fluids Engineering, Transactions of the ASME
Volume119
Issue number1
StatePublished - Mar 1997
Externally publishedYes

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Drag
Turbulence
Gaussian distribution
Interpolation
Fluids

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

Cite this

Turbulent dispersion of heavy particles with nonlinear drag. / Mei, Renwei; Adrian, Ronald; Hanratty, T. J.

In: Journal of Fluids Engineering, Transactions of the ASME, Vol. 119, No. 1, 03.1997, p. 170-179.

Research output: Contribution to journalArticle

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