A theoretical and numerical study of the flow of granular materials
Technical Report
·
OSTI ID:5221091
In this report the governing equations for the flow of granular materials, taking into account the heat transfer mechanism by conduction, are derived using a continuum model (cf. Goodman Cowin (1,2), Rajagopal Massoudi (3)). For a fully developed flow of these materials down an inclined plane, the equations reduce to a system of coupled non-linear ordinary differential equations. The resulting boundary value problem is solved numerically and the results are presented, for cases where the viscosity and thermal conductivity are assumed to be functions of the volume fraction. It is shown that the equations admit multiple solutions for certain values of the parameters.
- 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:
- 5221091
- Report Number(s):
- DOE/PC/90180-T5; ON: DE92015435
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
01 COAL, LIGNITE, AND PEAT
013000* -- Coal
Lignite
& Peat-- Transport
Handling
& Storage
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
DOCUMENT TYPES
ENERGY TRANSFER
FLUID FLOW
GRANULAR MATERIALS
HEAT TRANSFER
INCLINATION
MATERIALS
MATHEMATICAL MODELS
PARAMETRIC ANALYSIS
PROGRESS REPORT
SOLIDS FLOW
THERMAL CONDUCTION
VISCOSITY
013000* -- Coal
Lignite
& Peat-- Transport
Handling
& Storage
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
DOCUMENT TYPES
ENERGY TRANSFER
FLUID FLOW
GRANULAR MATERIALS
HEAT TRANSFER
INCLINATION
MATERIALS
MATHEMATICAL MODELS
PARAMETRIC ANALYSIS
PROGRESS REPORT
SOLIDS FLOW
THERMAL CONDUCTION
VISCOSITY