Boundary conditions for granular flows at randomly fluctuating bumpy boundaries

Conference · Tue Jan 01 04:00:00 EST 1991

OSTI ID:6039457

Richman, M W

In this paper we focus attention on the interactions between rapid flows of identical, smooth spheres that interact with bumpy boundaries through inelastic collisions. The boundaries translate with specified mean velocities, and deviate about the mean with specified fluctuation velocities. Based upon Maxwellian velocity distribution functions that describe the velocities of both the flow particles and boundaries, we calculate the rates at which linear momentum and kinetic energy are exchanged between the two. Using these exchange rates, we write down conditions that ensure that both momentum and energy are balanced at bumpy boundaries. Finally, we employ a constitutive theory that is consistent with these conditions to calculate the granular temperature and solid fraction profiles within a granular material confined between two parallel, bumpy surfaces that randomly fluctuate about zero mean velocity.

• Research Organization: Worcester Polytechnic Inst., MA (United States). Dept. of Mechanical Engineering
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC22-91PC90185
• OSTI ID: 6039457
• Report Number(s): CONF-9108127-3; ON: DE92004496
• Country of Publication: United States
• Language: English

Related Subjects

01 COAL, LIGNITE, AND PEAT
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99 GENERAL AND MISCELLANEOUS
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BOUNDARY CONDITIONS
EQUATIONS
FLUID FLOW
GRANULAR MATERIALS
KINETIC EQUATIONS
MATERIALS
MATHEMATICAL MODELS
MOMENTUM TRANSFER
MOVING-BOUNDARY CONDITIONS
SOLIDS FLOW
SPHERES