Microscopic theory of intrinsic shear and bulk viscosities

Journal Article · Fri Jan 01 04:00:00 EST 1982 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01011090· OSTI ID:6368420

Sung, W ^[1]; Karkheck, J; Stell, G

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1. State Univ. of New York, Stony Brook

A microscopic theory of intrinsic shear and bulk viscosities of solutions is given for a model of particles that interact with hard-sphere cores and weak long-range attraction. The approximation considered (the velocity chaos assumption of the Enskog theory) can be expected to yield quantitatively useful values for viscosities of the model solute-solvent system when the solute particles are not much larger than the solvent particles. Under solute-solvent mixing conditions of constant pressure and temperature, it is found that the intrinsic viscosities of a hard-sphere solute in a hard-sphere solvent can be positive or negative, depending upon size and mass ratios; for solute and solvent particles whose mass ratio equals their volume ratio, the intrinsic shear and bulk viscosities are always positive for solute particles larger than solvent particles: in the opposite case, the intrinsic shear viscosity is always negative while the intrinsic bulk viscosity is for the most part negative, becoming positive again when the solute particle is sufficiently small. For solute particles smaller than solvent particles, this result is sensitive to change in mass ratio. The addition of solvent-solvent attraction is found to lower the intrinsic viscosities substantially; the addition of solute-solvent attraction raises it. Detailed quantitative analysis of these effects is given.

• OSTI ID: 6368420
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 27:3; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BINARY MIXTURES
CHAPMAN-ENSKOG THEORY
COLLISIONS
COMPRESSION
CONFIGURATION
DISPERSIONS
EQUATIONS
EQUATIONS OF STATE
FLUID MECHANICS
FLUIDS
HYDRODYNAMICS
INTERMOLECULAR FORCES
MASS
MATHEMATICAL MODELS
MECHANICS
MIXTURES
PERTURBATION THEORY
SHEAR
SIZE
SOLVENTS
SPHERICAL CONFIGURATION
SUSPENSIONS
VAN DER WAALS FORCES
VISCOSITY