Bounds on the permeability of a random array of partially penetrable spheres

Journal Article · Sun Mar 01 00:00:00 EST 1987 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866367· OSTI ID:6925275

Torquato, S; Beasley, J D

A bound on the fluid permeability k for viscous flow through a random array of N identical spherical particles (distributed with arbitrary degree of impenetrability) due to Weissberg and Prager (Phys. Fluids 13, 2958 (1970)) is rederived by averaging flow quantities with respect to the ensemble of particle configurations. The ensemble-averaging technique enables one to obtain series representations of certain n-point distribution functions that arise in terms of probability density functions which characterize a particular configuration of n(

• Research Organization: Departments of Mechanical and Aerospace Engineering and of Chemical Engineering,North Carolina State University, Raleigh, North Carolina 27695-7910
• OSTI ID: 6925275
• Journal Information: Phys. Fluids; (United States), Vol. 30:3
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FLUID FLOW
DRAG
REYNOLDS NUMBER
SPHERES
DISTRIBUTION FUNCTIONS
POROUS MATERIALS
PROBABILITY
RANDOMNESS
VARIATIONAL METHODS
FUNCTIONS
MATERIALS
640410* - Fluid Physics- General Fluid Dynamics