On the turbulent boundary layer of a rapid-flowing dry granular matter down an incline: Theory and numerical simulations

C. Fang, W. Wu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The characteristics of the turbulent boundary and passive layers of an isothermal, rapid-flowing dry granular matter with incompressible solid grains are studied by a zero-order turbulent closure model. To this end, the thermodynamic analysis, based on Mueller-Liu entropy principle, is conducted to derive the equilibrium closure relations satisfying turbulence realizability conditions, with the dynamic responses of postulated by a nonlinear theory with respect to two-fold granular coldnesses. The closure model is applied to analysis of an isothermal, stationary dry granular avalanche down an incline. While the mean velocity and volume fraction increases/decreases from their minimum/maximum values on the plane toward the maximum/minimum values on the free surface exponentially, two-fold turbulent kinetic energies and dissipations evolve in a reverse manner. Most two-fold turbulent kinetic energies and dissipations are confined within the turbulent boundary layer immediately above the plane, with nearly vanishing and finite values on the free surface in the passive layer, respectively. These characteristics demonstrate a similarity to that of conventional Newtonian fluids in turbulent boundary layer flows. The turbulent boundary and passive layers are better verified by the distributions of the turbulent kinetic energy and dissipation.

Original languageEnglish
Title of host publicationComputer Methods and Recent Advances in Geomechanics - Proc. of the 14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014
PublisherTaylor and Francis - Balkema
Pages1849-1856
Number of pages8
ISBN (Print)9781138001480
Publication statusPublished - 2015 Jan 1
Event14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014 - Kyoto, Japan
Duration: 2014 Sep 222014 Sep 25

Publication series

NameComputer Methods and Recent Advances in Geomechanics - Proceedings of the 14th Int. Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014

Other

Other14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014
Country/TerritoryJapan
CityKyoto
Period14-09-2214-09-25

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Geochemistry and Petrology

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