Exactly realizable bounds on the trapping constant and permeability of porous media

Journal of Applied Physics

Volumn 97, Issue 1, 2005, Pages

  Pham, D C ^a   Torquato, S ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMAL BOUNDS; PERMEABILITY; TRAPPING CONSTANT; VOID BOUNDS;

CELL MEMBRANES; COATINGS; CORRELATION METHODS; FUNCTIONS; MICROSTRUCTURE; PROBABILITY; SANDSTONE;

POROUS MATERIALS;

EID: 19944433968     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1829379     Document Type: Article

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31. Alternatively to Eq., if we define the volume-weighted average on V for a function f (RI) as 〈f(RI)〉V = (1 /φ2) ΣSI ∈ V2 v1 (RI) f (RI), where v1 (r) is given by Eq., then 〈RI d+2〉 / 〈RId〉 in Eq. and subsequent expressions for γ, k, and lP would be replaced by 〈RI2〉V.