Collisional cooling with multi-particle interactions

Stefan Luding; Alexander Goldshtein

doi:10.1007/s10035-003-0136-8

Collisional cooling with multi-particle interactions

Stefan Luding^*, Alexander Goldshtein

^*Corresponding author for this work

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

18 Citations (Scopus)

Abstract

An extension to kinetic theory and hydrodynamic models is proposed that accounts for the existence of multi-particle contacts and leads to a correction of the cooling rate. The other hydrodynamic terms remain unchanged. In the presence of multi-particle contacts a class of different models leads to deviations from the classical inelastic hard sphere (IHS) results. For the homogeneous cooling state (HCS), as examined here, the theoretical results are found to be in perfect agreement with the numerical simulations.

Original language	English
Pages (from-to)	159-163
Number of pages	5
Journal	Granular matter
Volume	5
Issue number	3
DOIs	https://doi.org/10.1007/s10035-003-0136-8
Publication status	Published - 1 Dec 2003
Externally published	Yes

Keywords

Contact duration
Hard spheres
Kinetic & hydrodynamic theory
Multi-particle contacts
TC model

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10.1007/s10035-003-0136-8

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AU - Luding, Stefan

AU - Goldshtein, Alexander

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N2 - An extension to kinetic theory and hydrodynamic models is proposed that accounts for the existence of multi-particle contacts and leads to a correction of the cooling rate. The other hydrodynamic terms remain unchanged. In the presence of multi-particle contacts a class of different models leads to deviations from the classical inelastic hard sphere (IHS) results. For the homogeneous cooling state (HCS), as examined here, the theoretical results are found to be in perfect agreement with the numerical simulations.

AB - An extension to kinetic theory and hydrodynamic models is proposed that accounts for the existence of multi-particle contacts and leads to a correction of the cooling rate. The other hydrodynamic terms remain unchanged. In the presence of multi-particle contacts a class of different models leads to deviations from the classical inelastic hard sphere (IHS) results. For the homogeneous cooling state (HCS), as examined here, the theoretical results are found to be in perfect agreement with the numerical simulations.

KW - Contact duration

KW - Hard spheres

KW - Kinetic & hydrodynamic theory

KW - Multi-particle contacts

KW - TC model

U2 - 10.1007/s10035-003-0136-8

DO - 10.1007/s10035-003-0136-8

M3 - Article

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VL - 5

SP - 159

EP - 163

JO - Granular matter

JF - Granular matter

IS - 3

ER -

Collisional cooling with multi-particle interactions

Abstract

Keywords

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