Chin. Phys. Lett.  2001, Vol. 18 Issue (5): 698-700    DOI:
Original Articles |
A Dynamical Model for a Thin Layer of Granular Materials
MIAO Guo-Qing;SUI Lei;WEI Rong-Jue
State Key Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093
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MIAO Guo-Qing, SUI Lei, WEI Rong-Jue 2001 Chin. Phys. Lett. 18 698-700
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Abstract A dynamical model is presented for a thin layer of granular materials similar to that for shallow viscous fluid. We have obtained analytically the expressions for the “thermal expansion”, dispersion relation, and dependence of instability onset on driving frequency and viscosity, which are in agreement with experiments. The numerical calculation for the nonlinear problem reproduces the experimental phenomena for a one-dimensional system.
Keywords: 83.70.Fn      47.54.+r      83.10.Ji     
Published: 01 May 2001
PACS:  83.70.Fn  
  47.54.+r  
  83.10.Ji  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2001/V18/I5/0698
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