On the collision rate of particles in turbulent flow with gravity

Z. Dodin; T. Elperin

doi:10.1063/1.1490136

On the collision rate of particles in turbulent flow with gravity

Z. Dodin
, T. Elperin

Department of Mechanical Engineering

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

37 Scopus citations

Abstract

Formula for the collision rate of inertial particles in a homogeneous isotropic stationary turbulent flow with gravity is derived. The obtained formula yields correct results for two special cases, where the formula by Saffman and Turner [J. Fluid Mech. 1, 16 (1956)] fails. In the case of the particles with the same size, the collision rate predicted by Saffman and Turner is 29% higher than that predicted by the obtained formula. Turbulence effects on the collision rate are estimated for the conditions pertinent to droplets in atmospheric clouds.

Original language	English
Pages (from-to)	2921-2924
Number of pages	4
Journal	Physics of Fluids
Volume	14
Issue number	8
DOIs	https://doi.org/10.1063/1.1490136
State	Published - 1 Jan 2002

ASJC Scopus subject areas

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

Access to Document

10.1063/1.1490136

Cite this

@article{0c3f0b7adee14297a54bf0e986260441,

title = "On the collision rate of particles in turbulent flow with gravity",

abstract = "Formula for the collision rate of inertial particles in a homogeneous isotropic stationary turbulent flow with gravity is derived. The obtained formula yields correct results for two special cases, where the formula by Saffman and Turner [J. Fluid Mech. 1, 16 (1956)] fails. In the case of the particles with the same size, the collision rate predicted by Saffman and Turner is 29\% higher than that predicted by the obtained formula. Turbulence effects on the collision rate are estimated for the conditions pertinent to droplets in atmospheric clouds.",

author = "Z. Dodin and T. Elperin",

year = "2002",

month = jan,

day = "1",

doi = "10.1063/1.1490136",

language = "English",

volume = "14",

pages = "2921--2924",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics",

number = "8",

}

TY - JOUR

T1 - On the collision rate of particles in turbulent flow with gravity

AU - Dodin, Z.

AU - Elperin, T.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - Formula for the collision rate of inertial particles in a homogeneous isotropic stationary turbulent flow with gravity is derived. The obtained formula yields correct results for two special cases, where the formula by Saffman and Turner [J. Fluid Mech. 1, 16 (1956)] fails. In the case of the particles with the same size, the collision rate predicted by Saffman and Turner is 29% higher than that predicted by the obtained formula. Turbulence effects on the collision rate are estimated for the conditions pertinent to droplets in atmospheric clouds.

AB - Formula for the collision rate of inertial particles in a homogeneous isotropic stationary turbulent flow with gravity is derived. The obtained formula yields correct results for two special cases, where the formula by Saffman and Turner [J. Fluid Mech. 1, 16 (1956)] fails. In the case of the particles with the same size, the collision rate predicted by Saffman and Turner is 29% higher than that predicted by the obtained formula. Turbulence effects on the collision rate are estimated for the conditions pertinent to droplets in atmospheric clouds.

UR - https://www.scopus.com/pages/publications/0036673872

U2 - 10.1063/1.1490136

DO - 10.1063/1.1490136

M3 - Article

AN - SCOPUS:0036673872

SN - 1070-6631

VL - 14

SP - 2921

EP - 2924

JO - Physics of Fluids

JF - Physics of Fluids

IS - 8

ER -

On the collision rate of particles in turbulent flow with gravity

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this