Computations of Granular Flow in a Hopper
The flow of granular material in a hopper is a common industrial problem, but it is a problem without a good solution. Classical theories treat the material as an incompressible continuum in steady plastic yield; such theories cannot explain experimentally observed dynamics and dilantcy. Investigation of dynamic theories which include density variation is just beginning. We review the classical theory of granular flow in bins and present some of the recent developments on compressible flows. We borrow ideas from computational fluid dynamics in order to develop a method for the numerical simulation of compressible hopper flow.
KeywordsSine Bors Compressibility
Unable to display preview. Download preview PDF.
- R. Behringer, these proceedings.Google Scholar
- R. Jackson, Some Mathematical and Physical Aspects of Continuum Models for the Motion of Granular Materials, in The Theory of Dispersed Multiphase Flow, R. Meyer (ed.), Academic Press (1983).Google Scholar
- E. B. Pitman, D. G. Schaeffer and M. Shearer, Stability in Three Dimensional Critical State Theories of Plasticity, in preparation.Google Scholar
- D. G. Schaeffer, M. Shearer and E. B. Pitman, Instability in Critical State Theories of Granular Flow, to appear, SIAM J. Appl. Math.Google Scholar
- M. Shearer and D. G. Schaeffer, Foundations of the Quasi-dynamic Approximation in Critical State Plasticity, preprint.Google Scholar