A theoretical and numerical study of the flow of granular materials. Quarterly report, April 1, 1991--June 30, 1991
Technical Report
·
OSTI ID:10153576
The flow of granular materials down an inclined plane is modelled by the Richman & Marciniec (1990) in which they consider a kinetic constitutive theory that includes the effects of particle transport and collisions. Richman & Marciniec (1990) obtained closed form solution for the granular temperature profile, by replacing the volume fraction by its depth-averaged value in the balance equation`s, and thereby from constitutive relations for the normal and shear stresses they obtained the volume fraction and velocity profiles. Here, we use the model proposed by Richman & Marciniec (1990) to study steady, fully developed, gravity-driven flows of smooth, inelastic spheres down an inclined plane. The governing equations are obtained from the balance of linear momentum and balance of energy, in which we end up with three coupled non-linear ordinary differential equations. These equations are being solved numerically. In the next report we shall present the numerical results corresponding to both the continuum model of Rajagopal & Massoudi [1990] and the kinetic theory model of Richman & Marcineic [1990].
- Research Organization:
- Pittsburgh Univ., PA (United States). Dept. of Mechanical Engineering
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC22-91PC90180
- OSTI ID:
- 10153576
- Report Number(s):
- DOE/PC/90180--T2; ON: DE92015432
- Country of Publication:
- United States
- Language:
- English
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