[Kinetic theory and boundary conditions for highly inelastic spheres]. Quarterly progress report, April 1, 1993--June 30, 1993
In this quarter, a kinetic theory was employed to set up the boundary value problem for steady, fully developed, gravity-driven flows of identical, smooth, highly inelastic spheres down bumpy inclines. The solid fraction, mean velocity, and components of the full second moment of fluctuation velocity were treated as mean fields. In addition to the balance equations for mass and momentum, the balance of the full second moment of fluctuation velocity was treated as an equation that must be satisfied by the mean fields. However, in order to simplify the resulting boundary value problem, fluxes of second moments in its isotropic piece only were retained. The constitutive relations for the stresses and collisional source of second moment depend explicitly on the second moment of fluctuation velocity, and the constitutive relation for the energy flux depends on gradients of granular temperature, solid fraction, and components of the second moment. The boundary conditions require that the flows are free of stress and energy flux at their tops, and that momentum and energy are balanced at the bumpy base. The details of the boundary value problem are provided. In the next quarter, a solution procedure will be developed, and it will be employed to obtain sample numerical solutions to the boundary value problem described here.
- Research Organization:
- Worcester Polytechnic Institute, MA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC22-91PC90185
- OSTI ID:
- 10117962
- Report Number(s):
- DOE/PC/90185-T10; ON: DE94005772; TRN: 94:001582
- Resource Relation:
- Other Information: PBD: [1993]
- Country of Publication:
- United States
- Language:
- English
Similar Records
[Kinetic theory and boundary conditions for flows of highly inelastic spheres: Applications to gravity driven granular flows down bumpy inclines]. Quarterly progress report, January 1, 1992--March 30, 1992
[Kinetic theory and boundary conditions for flows of highly inelastic spheres: Applications to gravity driven granular flows down bumpy inclines]
Related Subjects
42 ENGINEERING
01 COAL, LIGNITE, AND PEAT
SPHERES
TRANSPORT
GRAVITATIONAL INTERACTIONS
SOLIDS FLOW
BOUNDARY-VALUE PROBLEMS
KINETIC EQUATIONS
MATHEMATICAL MODELS
MASS TRANSFER
COAL
PROGRESS REPORT
990200
420400
013000
MATHEMATICS AND COMPUTERS
HEAT TRANSFER AND FLUID FLOW
TRANSPORT, HANDLING, AND STORAGE