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

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

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (2): 633-644.doi: 10.1016/S0252-9602(10)60066-5

• 论文 • 上一篇

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.

收稿日期:2010-03-12 出版日期:2010-03-20 发布日期:2010-03-20
基金资助:
The work described in this paper was fully supported by the Research Grants Council of Hong Kong Special Administrative Region, China
(CityU 103509).

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).

摘要/Abstract

摘要：

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.

关键词: dilute inelastic gas, high-Mach-number, force

Abstract:

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

中图分类号:

70F35

Yu Hui Deng, Jonathan J. Wylie, Qiang Zhang. THEORETICAL ANALYSIS OF A HIGH-MACH-NUMBER DILUTE INELASTIC GAS IMPINGING ON A SURFACE[J]. 数学物理学报(英文版), 2010, 30(2): 633-644.

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

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

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