Transport theory of binary mixture with one trace component of disparate mass

Journal Article · Mon Nov 01 04:00:00 EST 1982 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.444417· OSTI ID:6707704

Sung, W; Stell, G

We present a simple method for calculating transport coefficients for binary hard-sphere mixtures with one trace component of extreme mass disparity (Lorentz and Rayleigh mixtures). The results that we obtain by using the Chapman--Enskog method are exact on the Enskog-theory level. In such mixtures we can expand the solute--solvent collision integral in powers of the mass ratio and thereby reduce it to a differential form, from which we can in principle calculate directly the solute--particle velocity moments of various orders relevant to the fluxes instead of determining its distribution function. Here we mainly concern ourselves with determination of the transport coefficients in the Lorentz and Rayleigh limits, including the solvent contribution for the case of shear viscosity, bulk viscosity, and thermal conductivity. We give a brief analysis of these quantities in both limits and compare with the results of the lowest Sonine-polynomial approximation.

• Research Organization: Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
• OSTI ID: 6707704
• Journal Information: J. Chem. Phys.; (United States), Journal Name: J. Chem. Phys.; (United States) Vol. 77:9; ISSN JCPSA
• Country of Publication: United States
• Language: English

Related Subjects

657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BINARY MIXTURES
DISPERSIONS
DISTRIBUTION FUNCTIONS
FUNCTIONS
MIXTURES
PHYSICAL PROPERTIES
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRANSPORT THEORY
VISCOSITY