Theoretical analysis of a high-mach-number dilute inelastic gas impinging on a surface

Yu Hui Deng; Jonathan J. Wylie; Qiang Zhang

doi:10.1016/S0252-9602(10)60066-5

Theoretical analysis of a high-mach-number dilute inelastic gas impinging on a surface

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

We consider a problem of a 2-dimensional high-Mach-number dilute inelastic gas originating from infinity impinging on an oblique surface of infinite length. By analyzing probabilities of particle-particle collisions, we derive an analytical formula for the mean force experienced by the surface when the system is dilute. We also derive conditions for the validity of our theory. © 2010 Wuhan Institute of Physics and Mathematics.

Original language	English
Pages (from-to)	633-644
Journal	Acta Mathematica Scientia
Volume	30
Issue number	2
DOIs	https://doi.org/10.1016/S0252-9602(10)60066-5
Publication status	Published - Mar 2010

Research Keywords

70F35
dilute inelastic gas
force
high-Mach-number

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10.1016/S0252-9602(10)60066-5

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abstract = "We consider a problem of a 2-dimensional high-Mach-number dilute inelastic gas originating from infinity impinging on an oblique surface of infinite length. By analyzing probabilities of particle-particle collisions, we derive an analytical formula for the mean force experienced by the surface when the system is dilute. We also derive conditions for the validity of our theory. {\textcopyright} 2010 Wuhan Institute of Physics and Mathematics.",

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T1 - Theoretical analysis of a high-mach-number dilute inelastic gas impinging on a surface

AU - Deng, Yu Hui

AU - Wylie, Jonathan J.

AU - Zhang, Qiang

PY - 2010/3

Y1 - 2010/3

N2 - We consider a problem of a 2-dimensional high-Mach-number dilute inelastic gas originating from infinity impinging on an oblique surface of infinite length. By analyzing probabilities of particle-particle collisions, we derive an analytical formula for the mean force experienced by the surface when the system is dilute. We also derive conditions for the validity of our theory. © 2010 Wuhan Institute of Physics and Mathematics.

AB - We consider a problem of a 2-dimensional high-Mach-number dilute inelastic gas originating from infinity impinging on an oblique surface of infinite length. By analyzing probabilities of particle-particle collisions, we derive an analytical formula for the mean force experienced by the surface when the system is dilute. We also derive conditions for the validity of our theory. © 2010 Wuhan Institute of Physics and Mathematics.

KW - 70F35

KW - dilute inelastic gas

KW - force

KW - high-Mach-number

UR - https://www.scopus.com/pages/publications/77950261018

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77950261018&origin=recordpage

U2 - 10.1016/S0252-9602(10)60066-5

DO - 10.1016/S0252-9602(10)60066-5

M3 - RGC 21 - Publication in refereed journal

SN - 0252-9602

VL - 30

SP - 633

EP - 644

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 2

ER -

Theoretical analysis of a high-mach-number dilute inelastic gas impinging on a surface

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