A theoretical and numerical study of the flow of granular materials

Technical Report · Tue Jan 01 04:00:00 EST 1991

OSTI ID:5255513

Rajagopal, K R

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: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC22-91PC90180
• OSTI ID: 5255513
• Report Number(s): DOE/PC/90180-T2; ON: DE92015432
• Country of Publication: United States
• Language: English

Related Subjects

01 COAL, LIGNITE, AND PEAT
013000* -- Coal
Lignite
& Peat-- Transport
Handling
& Storage
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOUNDARY-VALUE PROBLEMS
DOCUMENT TYPES
FLUID FLOW
GRANULAR MATERIALS
KINETICS
MATERIALS
MATHEMATICAL MODELS
PROGRESS REPORT
SHEAR
SOLIDS FLOW
SPHERES