Local volume fraction fluctuations in heterogeneous media

Journal Article · Sat Sep 01 04:00:00 EDT 1990 · Journal of Chemical Physics; (USA)

DOI:https://doi.org/10.1063/1.458827· OSTI ID:6521274

Lu, B ^[1]; Torquato, S ^[2]

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1. Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC (USA)
2. Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC (USA) Department of Chemical Engineering, North Carolina State University, Raleigh, NC (USA)

The volume fractions of multiphase heterogeneous media fluctuate on a spatially local level even for statistically homogeneous materials. A general formulation is given to represent the standard deviation associated with the {ital local} volume fraction of statistically homogeneous but anisotropic {ital D}-dimensional two-phase media for arbitrary-shaped {ital observation} {ital regions}. The standard deviation divided by the macroscopic volume fraction, termed the {ital coarseness}, is computed for {ital D}-dimensional distributions of penetrable as well as impenetrable spheres, for a wide range of densities and observation-region sizes. The effect of impenetrability of the particles, for fixed observation-region size, is to reduce the coarseness relative to that of the penetrable-sphere model, especially at high densities. For either sphere model, increasing the dimensionality {ital D} decreases the coarseness.

• DOE Contract Number: FG05-86ER13482
• OSTI ID: 6521274
• Journal Information: Journal of Chemical Physics; (USA), Journal Name: Journal of Chemical Physics; (USA) Vol. 93:5; ISSN JCPSA; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360602* -- Other Materials-- Structure & Phase Studies
COMPOSITE MATERIALS
CRYSTAL STRUCTURE
FLUCTUATIONS
FLUID FLOW
INCLUSIONS
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MICROSTRUCTURE
MORPHOLOGY
POROUS MATERIALS
TWO-PHASE FLOW
VARIATIONS
VOLUME