Suspensions of rigid spherical particles in polymeric solutions

V. Zmievski, M. Grmela and M. Bousmina

Physica A: Statistical Mechanics and its Applications, 2007, vol. 376, issue C, 51-74

Abstract: Suspensions of solid particles in polymeric solutions are regarded as suspensions of solid particles and polymer molecules in a Newtonian fluid. Disturbances caused by the particles propagate in the Newtonian fluid and influence the distribution of the particles and conformation of the molecules. States of the particles are characterized by a distribution function (two particle distribution function in the dilute limit) and states of the polymer molecules by one molecule distribution function depending on the end-to-end vector of the molecule and the position coordinates of the particles. The rheological model consists of an expression for the extra stress tensor and time evolution equations for the distribution functions. Two versions of the model are developed: one valid for arbitrary particle concentration and the other, carried to more details, for a special case of dilute suspensions. The governing equations for dilute suspensions are then solved for the linear response to imposed oscillatory flows. The result is a sum of three terms: the first two express the linear response in pure particle and pure polymer suspensions, the third expresses the coupling effect. In particular, the effective viscosity for suspension in a polymeric solution is found to be ηeff/η0=1+ζ+(52)φ+(257)ζφ+O(φ2), where φ is a volume fraction of suspended particles and ζ is dimensionless parameter proportional to the concentration and the characteristic relaxation time of the polymer molecules.

Keywords: Suspensions; Polymer solutions; Nonequilibrium thermodynamics (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437106011198
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:376:y:2007:i:c:p:51-74

DOI: 10.1016/j.physa.2006.10.050

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 ().