Acta mathematica scientia, Series B >
THEORETICAL ANALYSIS OF A HIGH-MACH-NUMBER DILUTE INELASTIC GAS IMPINGING ON A SURFACE
Received date: 2010-03-12
Online 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
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 . DOI: 10.1016/S0252-9602(10)60066-5
[1] Lipowski A. Granular gas-some surprises and challenges. Physics A, 2005, 357: 331
[2] Pouliquen O. Scaling laws in granular flows down rough inclined, planes. Phys Fluids, 1999, 11: 542
[3] Wassgren C R, Cordova J A, Zenit R, Karion A. Dilute granular flow around an immersed cylinder. Phys Fluids, 2003, 15: 3318
[4] Yang J Z. Dynamics of a one-dimensional inelastic particle system. Physical Review E, 2000, 61: 2920
[5] Wylie J J, Zhang Q. Collapse of periodic orbits in a driven inelastic particle system. Physical Review E, 2006, 74: 011305
[6] Wylie J J, Zhang Q, Li Y, Xu H Y. Driven inelastic-particle systems with drag. Physical Review E, 2009, 79: 031301
[7] Wylie J J, Zhang Q, Xu H Y, Sun X X. Drag-induced particle segregation with vibrating boundaries. Europhysics Letters, 2008, 81: 54001
[8] Gao M, Wylie J J, Zhang Q. Inelastic collapse in a corner. Communications on Pure and Applied Analysis, 2008, 8: 275
[9] Fang Y, Gao M, Wylie J J, Zhang Q. Anomalous behavior of a single particle falling through a funnel. Physical Review E, 2008, 77: 041302
/
| 〈 |
|
〉 |