Second order in the gradients effects in a dilute binary mixture

Conference · Thu May 01 04:00:00 EDT 1986 · Int. J. Thermophys.; (United States)

OSTI ID:6913111

Uribe, F J; Garcia-Collin, L S

A study is made to compute relevant transport properties for a dilute binary mixture of inert gases to second order in the gradients without explicitly solving the Boltzmann equation to that order. This is done with the Chapman-Enskog method, seeking to express such quantities in terms of the solution to first order. The pressure tensor and the velocity of diffusion are two quantities which allow for this computation. In the particular case when the sum of the particle densities of the mixture (n/sub A/,n/sub B/) is constant, one finds that in order to keep the Chapman-Enskog method mathematically consistent, it is necessary that the divergence of the mass velocity be position independent. Finally, we consider the case of swarms of charged particles and study the prediction of the method in the Navier-Stokes and Burnett regimes for diffusion phenomena. In the latter case, the results are restricted to electrons in a gas.

• Research Organization: Univ. Autonoma Metropolitana-Iztapalapa, Apdo
• OSTI ID: 6913111
• Report Number(s): CONF-850617-
• Conference Information: Journal Name: Int. J. Thermophys.; (United States) Journal Volume: 7:3
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOM COLLISIONS
BINARY MIXTURES
BOLTZMANN EQUATION
CHAPMAN-ENSKOG THEORY
CHARGED PARTICLES
COLLISION INTEGRALS
COLLISIONS
DIFFERENTIAL EQUATIONS
DIFFUSION
DISPERSIONS
ELECTRON COLLISIONS
ELECTRON DRIFT
ELECTRON GAS
ELECTRON-ATOM COLLISIONS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FLUID FLOW
FLUIDS
GAS FLOW
GASES
INTEGRALS
KNUDSEN FLOW
LEPTONS
MIXTURES
MOBILITY
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MOBILITY
TRANSPORT THEORY