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Standing wave patterns in shallow beds of vibrated granular material

Author

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  • Metcalf, Thomas H.
  • Knight, James B.
  • Jaeger, Heinrich M.

Abstract

Conventional and high-speed video imaging was used to observe surface waves in vertically oscillated, thin layers of dry, noncohesive granular material. The onset of wave formation is pressure dependent and sensitive to the preparation of the particle surface. The dispersion relation of these waves is different at high and low frequencies, and the transition can be explained within the context of a hydrodynamical model by the introduction of a frequency dependent viscous cut-off that dominates at high frequency. High-speed imaging also reveals a qualitative change in individual particle movement at high and low frequencies, and the compressibility of the granular layer.

Suggested Citation

  • Metcalf, Thomas H. & Knight, James B. & Jaeger, Heinrich M., 1997. "Standing wave patterns in shallow beds of vibrated granular material," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 236(3), pages 202-210.
    • Handle: RePEc:eee:phsmap:v:236:y:1997:i:3:p:202-210
    DOI: 10.1016/S0378-4371(96)00370-6
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    References listed on IDEAS

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    1. Laroche, Michel & Brisoux, Jacques E., 1989. "Incorporating competition into consumer behavior models: The case of the attitude-intention relationship," Journal of Economic Psychology, Elsevier, vol. 10(3), pages 343-362, November.
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    Cited by:

    1. Han, Hong & Jiang, Ze Hui & Zhang, Rui & Lyu, Jing, 2014. "The influence of air on period doubling motion in vertically vibrated grains beds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 265-275.

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