Numerical study of the flow of granular materials down an inclined plane using a model based on a kinetic theory approach. Quarterly report, July 1, 1993--September 30, 1993
Kinetic theory approaches in the formulation of rapid flows of granular materials have attracted considerable attention in recent years. There are several models which have been suggested to describe the rapid flow of granular materials which are derived a using a statistical approach. Boyle and Massoudi (1989) have written comprehensive survey article of the constitutive equations and the laws governing the flow of granular materials. A major difference between the continuum theories discussed previously and the theories based on a statistical approach is the concept of {open_quotes}granular temperature{close_quotes} which is introduced in the latter approach. Granular temperature describes the fluctuating, velocity of the flow of granular solids and in this sense is similar to the temperature in a gas due to the fluctuating motion of the gas molecules. However, it is not clear how this quantity can be measured. Several models have been proposed by various investigators using ideas of kinetic theory. In a previous report the governing equations for the flow of granular materials down an inclined plane, modeled by the constitutive theory proposed by Boyle and Massoudi (1990), were derived. The authors ended up with two coupled ordinary differential equations. In this work these equations are solved as numerically subjected to the appropriate boundary conditions. The effect of various non-dimensional parameters on the volume fraction and velocity are presented in the form of graphs in this report.
- 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:
- 10124072
- Report Number(s):
- DOE/PC/90180-T9; ON: DE94006769; TRN: 94:002682
- Resource Relation:
- Other Information: PBD: [1993]
- Country of Publication:
- United States
- Language:
- English
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