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1 International Journal of Applied Mechanics and Engineering

1 2001

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A non-linear constitutive relation for flowing granular materials

Massoudi M., Rao C. L.

International Journal of Applied Mechanics and Engineering

2001

Vol. 6, no 2

457-471

We study the flow of granular materials down an inclined plane. We assume steady fully developed conditions. The constitutive relation is that of Rajagopal and Massoudi (1990), where the material parameters are given by the theory of Boyle and Massoudi (1990). We do not consider the effects of ?granular temperature? (a measure of the fluctuating component of the velocity of the grains). The material parameters are given in this model as functions of volume fraction, particle diameter, restitution coefficient, and the excluded volume. The momentum equations are non-dimensionalized and the resulting coupled non-linear ordinary differential equations are solved numerically; the results are presented for the volume fraction and velocity profiles for different dimensionless numbers.