THEORETICAL ANALYSIS OF A HIGH-MACH-NUMBER DILUTE INELASTIC GAS IMPINGING ON A SURFACE

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

Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (2): 633-644.doi: 10.1016/S0252-9602(10)60066-5

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THEORETICAL ANALYSIS OF A HIGH-MACH-NUMBER DILUTE INELASTIC GAS IMPINGING ON A SURFACE

Yu Hui Deng, Jonathan J. Wylie, Qiang Zhang

1. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong, China；

2. Center for applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, NJ 07102, U.S.A.

Received:2010-03-12 Online:2010-03-20 Published:2010-03-20
Supported by:
The work described in this paper was fully supported by the Research Grants Council of Hong Kong Special Administrative Region, China
(CityU 103509).

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.

Key words: dilute inelastic gas, high-Mach-number, force

CLC Number:

70F35

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Yu Hui Deng, Jonathan J. Wylie, Qiang Zhang. THEORETICAL ANALYSIS OF A HIGH-MACH-NUMBER DILUTE INELASTIC GAS IMPINGING ON A SURFACE[J].Acta mathematica scientia,Series B, 2010, 30(2): 633-644.

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THEORETICAL ANALYSIS OF A HIGH-MACH-NUMBER DILUTE INELASTIC GAS IMPINGING ON A SURFACE

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