A Dynamical Model for a Thin Layer of Granular Materials

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

Cite this article:

MIAO Guo-Qing, SUI Lei, WEI Rong-Jue 2001 Chin. Phys. Lett. 18 698-700

Download: PDF(340KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

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

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2001/V18/I5/0698

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	MIAO Guo-Qing
	SUI Lei
	WEI Rong-Jue

Related articles from Frontiers Journals

[1]	SHI Xiao-Dong, MIAO Guo-Qing. Pattern Formation in a Vibrated Granular Layer on an Inclined Base[J]. Chin. Phys. Lett., 2008, 25(5): 698-700
[2]	YANG Hu-Jiang, YANG Jun-Zhong, HU Gang. Wave Grouping of a Drifting Spiral Wave in the Presence of an External Field[J]. Chin. Phys. Lett., 2007, 24(10): 698-700
[3]	TANG Qiang, TIAN Ju-Ping, YAO Kai-Lun,. Scaling Behaviour of Diffusion Limited Aggregation with Linear Seed[J]. Chin. Phys. Lett., 2006, 23(11): 698-700
[4]	MA Jun, YING He-Ping, PAN Guo-Wei, PU Zhong-Sheng. Evolution of Spiral Waves under Modulated Electric Fields[J]. Chin. Phys. Lett., 2005, 22(9): 698-700
[5]	ZHANG Peng, MIAO Guo-Qing, HUANG Kai, YUN Yi, WEI Rong-Jue. Experimental Observation of Kink in a Perfect Bidimensional Granular System[J]. Chin. Phys. Lett., 2005, 22(8): 698-700
[6]	MA Jun, YING He-Ping, PU Zhong-Sheng. An Anti-Control Scheme for Spiral under Lorenz Chaotic Signals[J]. Chin. Phys. Lett., 2005, 22(5): 698-700
[7]	DENG Bin, SHI Bao-Chang, WANG Guang-Chao. A New Lattice Bhatnagar--Gross--Krook Model for the Convection--Diffusion Equation with a Source Term[J]. Chin. Phys. Lett., 2005, 22(2): 698-700
[8]	Shao-Qiang, WANG Ping. Pattern Formation in Dynamic Phase Transitions[J]. Chin. Phys. Lett., 2004, 21(8): 698-700
[9]	WANG Hong-Li, OU-YANG Qi. Transition to Antispirals in the Complex Ginzburg--Landau Equation[J]. Chin. Phys. Lett., 2004, 21(8): 698-700
[10]	WANG Xin, TIAN Xu, WANG Hong-Li, OUYANG Qi, , LI Hao. Additive Temporal Coloured Noise Induced Eckhaus Instability in Complex Ginzburg--Landau Equation System[J]. Chin. Phys. Lett., 2004, 21(12): 698-700
[11]	DONG Li-Fang, HE Ya-Feng, YIN Zeng-Qian, CHAI Zhi-Fang. Experimental Observation of Traveling Hexagon Patterns in Dielectric Barrier Discharge[J]. Chin. Phys. Lett., 2003, 20(9): 698-700
[12]	SHI Xiao-Dong, JIN Guo-Jun, MA Yu-Qiang. Wavelength Selection of Patterns in a Vibrated Granular Layer [J]. Chin. Phys. Lett., 2003, 20(2): 698-700
[13]	SUI Lei, MIAO Guo-Qing, WEI Rong-Jue. Surface Instability of a Vertically Oscillating Granular Layer[J]. Chin. Phys. Lett., 2001, 18(4): 698-700

Viewed

Full text

Abstract