Numerical study of the flow of granular materials down an inclined plane. Quarterly report, October 1, 1993--February 28, 1994

Technical Report · Sun May 01 04:00:00 EDT 1994

DOI:https://doi.org/10.2172/10146891· OSTI ID:10146891

Rajagopal, K R

In the 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. These equations are solved numerically subject 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 we derive the governing equations for the flow of granular materials down an inclined plane using the continuum model proposed by Rajagopal and Massoudi [cf. Goodman and Cowin (1971, 1972), Rajagopal and Massoudi (1990)]. Here, we study the effect of the various forms of the materials parameters ({Beta}`s) as discussed in Case I, II, and III in the following sections. The numerical solutions for case I and case II were presented in the earlier reports and case III are presented in the form of graphs for various nondimensional parameters. Also, the solutions from Case I, II, and III are compared to see how the structure of the material parameters affect the velocity, volume fraction and temperature fields.

• 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: 10146891
• Report Number(s): DOE/PC/90180--T10; ON: DE94010729; BR: AA1510050
• Country of Publication: United States
• Language: English

Related Subjects

665000
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
EQUATIONS OF MOTION
FLUID FLOW
GRANULAR MATERIALS
NUMERICAL ANALYSIS
PHYSICS OF CONDENSED MATTER
PROGRESS REPORT