Dynamical states of bubbling in vertically vibrated granular materials. Part I: Collective processes

Mohammad Hadi Bordbar*, Piroz Zamankhan

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)


Granular materials deform plastically like a solid under weak shear and they flow like a fluid under high shear. These materials exhibit other unusual kinds of behavior, including pattern formation in shaking of granular materials for which the onset characteristics of the various patterns are not well understood. Vertically shaken granular materials undergo a transition to a convective motion which can result in the formation of bubbles. In Part I, a detailed overview is presented of collective processes in gas-particle flows useful for developing a simplified model for molecular dynamic type simulations of dense gas-particle flows. The large eddy simulation method (LES) has been employed for simulating fluid flows through irregular array of particles. The results obtained may lead to scale-dependent closures for quantities such as the drag, stresses and effective dispersion. These are of use for developing a continuum approach for describing the deformation and flow of dense gas-particle mixtures described in Part II.

Original languageEnglish
Pages (from-to)254-272
Number of pages19
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number3
Publication statusPublished - Jun 2007
MoE publication typeA1 Journal article-refereed


  • Bubbling
  • Continuum
  • Granular materials
  • Oscillation

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