Rigorous bounds on the fluid permeability: Effect of polydispersivity in grain size

Journal Article · Sun Apr 01 04:00:00 EDT 1990 · Physics of Fluids A; (USA)

DOI:https://doi.org/10.1063/1.857748· OSTI ID:6850861

Torquato, S; Lu, B ^[1]

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1. Department of Mechanical Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910 (USA)

Rigorous bounds on the fluid permeability (on resistance) of porous media composed of spherical grains with a continuous size distribution are computed. For any finite degree of polydispersivity, scaling the resistance bound by the square of the specific surface (relative to the monodisperse case) yields effectively universal behavior at a fixed sphere volume fraction. A new proposition regarding an exact relationship between the permeability and another effective parameter, the trapping constant associated with diffusion-controlled reactions among traps, is employed to assess the accuracy of the rigorous bound.

• DOE Contract Number: FG05-86ER13482
• OSTI ID: 6850861
• Journal Information: Physics of Fluids A; (USA), Journal Name: Physics of Fluids A; (USA) Vol. 2:4; ISSN 0899-8213; ISSN PFADE
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACCURACY
CHEMICAL REACTIONS
CONFIGURATION
CORRELATION FUNCTIONS
CRYSTAL STRUCTURE
DIFFUSION
DISPERSIONS
DISTRIBUTION
FLUID FLOW
FLUIDS
FUNCTIONS
GRAIN SIZE
INTERFACES
MATERIALS
MICROSTRUCTURE
PERMEABILITY
POROUS MATERIALS
SCALING LAWS
SIZE
SPHERICAL CONFIGURATION
TRAPPING