Rheological properties in a low-density granular mixture

José Marı́a Montanero and Vicente Garzó

Physica A: Statistical Mechanics and its Applications, 2002, vol. 310, issue 1, 17-38

Abstract: Steady simple shear flow of a low-density binary mixture of inelastic smooth hard spheres is studied in the context of the Boltzmann equation. This equation is solved by using two different and complementary approaches: a Sonine polynomial expansion and the Direct Simulation Monte Carlo method. The dependence of the shear and normal stresses as well as of the steady granular temperature on both the dissipation and the parameters of the mixture (ratios of masses, concentration, and sizes) is analyzed. In contrast to previous studies, the theory predicts and the simulation confirms that the partial temperatures of each species are different, even in the weak dissipation limit. In addition, the simulation shows that the theory reproduces fairly well the values of the shear stress and the phenomenon of normal stress differences. On the other hand, here we are mainly interested in analyzing transport in the homogeneous shear flow so that, the possible formation of particle clusters is ignored in our description.

Keywords: Granular mixture of gases; Simple shear flow; Kinetic theory; Direct Simulation Monte Carlo method (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437102007860
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:310:y:2002:i:1:p:17-38

DOI: 10.1016/S0378-4371(02)00786-0

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 ().