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Rapid couette flow of cohesionless granular materials

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Summary

Presented is an analysis on the Couette flow of cohesionless granular materials between two co-axial rotating cylinders. The constitutive equations employed have been postulated on the basis of available experimental and theoretical results which take into account the particle collisions as well as dynamic pressures induced by the trace of the unsemble phase average of the square of flow fluctuations. These constitutive equations loosely resemble the Reiner-Rivlin fluid behavior, and predict normal stress effects.

New non-Newtonian effects in striking manners have been predicted in the cases of outer cylinder rotating-inner cylinder fixed as well as outer cylinder fixed-inner cylinder rotating. The theoretical predictions for the free surface profile for these two cases agree with our experimental observations and point to the validity of the proposed constitutive equations. All our results are based on no-slip conditions on the boundary surfaces. Furthermore, the results obtained are different from the classical results obtained for the Couette flow of simple non-Newtonian fluids.

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Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, Clarkson College of Technology, 13676, Potsdam, NY, U.S.A.

    M. Shahinpoor & S. P. Lin

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  1. M. Shahinpoor
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  2. S. P. Lin
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Shahinpoor, M., Lin, S.P. Rapid couette flow of cohesionless granular materials. Acta Mechanica 42, 183–196 (1982). https://doi.org/10.1007/BF01177191

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  • DOI: https://doi.org/10.1007/BF01177191

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