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Computations of Granular Flow in a Hopper

  • Conference paper
Two Phase Flows and Waves

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 26))

Abstract

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.

This research is supported by the Air Force Office of Scientific Research under grant AFSOR 88-0182, and the NSF and ONR through grants to the Institute for Mathematics and its Applications and the Minnesota Supercomputer Institute.

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Author information

Authors and Affiliations

  1. Institute of Mathematics and its Applications, University of Minnesota, 55455, Minneapolis, Minnesota, USA

    E. Bruce Pitman

  2. Department of Mathematics, State University of New York, 106 Diefendorf Hall, 14214-3093, Buffalo, NY, USA

    E. Bruce Pitman

Authors
  1. E. Bruce Pitman
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Editor information

Editors and Affiliations

  1. Department of Aerospace Engineering and Mechanics, University of Minnesota, 55455, Minneapolis, MN, USA

    Daniel D. Joseph

  2. Department of Mathematics, Duke University, 27706, Durham, NC, USA

    David G. Schaeffer

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© 1990 Springer-Verlag New York Inc.

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Pitman, E.B. (1990). Computations of Granular Flow in a Hopper. In: Joseph, D.D., Schaeffer, D.G. (eds) Two Phase Flows and Waves. The IMA Volumes in Mathematics and Its Applications, vol 26. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9022-0_7

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  • DOI: https://doi.org/10.1007/978-1-4613-9022-0_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9024-4

  • Online ISBN: 978-1-4613-9022-0

  • eBook Packages: Springer Book Archive

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