Mathematical Issues in the Continuum Formulation of Slow Granular Flow

  • David G. Schaeffer
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 26)


This lecture is a survey of certain mathematical problems arising in the description of the flow of granular materials such as sand, coal, or various raw materials used in industry. The rather long title is intended to convey what is not covered. We refer to slow flow in contrast to the rapid shearing flow considered by many authors (cf. the article by Jenkins in these Proceedings). In the case of rapid shearing it is possible to derive constitutive relations from first principles; the constitutive relations used here are purely phenomenological. We refer to a continuum formulation in contrast to particle simulations (cf. the article by Walton in these Proceedings). Although two phase flow was a major theme at the Workshop, we shall not consider the interaction of the granular medium with the interstitial fluid. We have retained the informal style of the lecture in this article.


Constitutive Relation Granular Material Yield Surface Granular Medium Granular Flow 
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Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • David G. Schaeffer
    • 1
  1. 1.Department of MathematicsDuke UniversityDurhamUSA

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