Nonlinear transport in a binary mixture in the presence of gravitation

E.E. Tahiri, M. Tij and V. Garzó

Physica A: Statistical Mechanics and its Applications, 2001, vol. 297, issue 1, 97-114

Abstract: The effect of gravity on the tracer particles immersed in a dilute gas of mechanically different particles and subjected to the steady planar Couette flow is analyzed. The results are obtained from the Gross–Krook (GK) kinetic model of a binary mixture and the description applies for arbitrary values of both velocity and temperature gradients. The GK equation is solved by means of a perturbation method in powers of the field around a nonequilibrium state which retains all the hydrodynamic orders in the shear rate a and the thermal gradient ε. To first order in the gravity field, we explicitly determine the hydrodynamic profiles and the partial contributions to the momentum and heat fluxes associated with the tracer species. All these quantities are given in terms of a,ε, and the mass and size ratios. The shear-rate dependence of some of these quantities is illustrated for several values of the mass ratio showing that in general, the effect of gravity is more significant when the particles of the gas are lighter than the tracer particles.

Keywords: Nonlinear Couette flow; Tracer limit; Gravity; Hydrodynamic fields and transport coefficients (search for similar items in EconPapers)
Date: 2001
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437101002345
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:297:y:2001:i:1:p:97-114

DOI: 10.1016/S0378-4371(01)00234-5

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().