Bulk properties of two-phase disordered media. IV. Mechanical properties of suspensions of penetrable spheres at nondilute concentrations

Journal Article · Mon Jun 01 00:00:00 EDT 1987 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.452427· OSTI ID:6581337

Torquato, S; Lado, F; Smith, P A

We derive rigorous upper and lower bounds on the bulk and shear moduli of suspensions of spheres of variable penetrability distributed throughout a matrix (or fluid), for all possible phase property values, through second order in the sphere volume fraction phi/sub 2/. The bounds, at the very least, capture the salient qualitative features that come into play when particles overlap, and, in some instances, are shown to be quantitatively very sharp. Among other results, we use these bounds to obtain good estimates of the bulk and expansion viscosities of an incompressible fluid containing spherical air bubbles and thus extend the corresponding results of Taylor in which pair interactions were neglected.

• Research Organization: Departments of Mechanical and Aerospace Engineering and of Chemical Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
• OSTI ID: 6581337
• Journal Information: J. Chem. Phys.; (United States), Vol. 86:11
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
SUSPENSIONS
TWO-PHASE FLOW
VISCOSITY
MECHANICAL PROPERTIES
DISPERSIONS
FLUID FLOW
420400* - Engineering- Heat Transfer & Fluid Flow