A differential approach to suspensions with power-law matrices
โ Scribed by Roger I. Tanner; Fuzhong Qi; Kostas D. Housiadas
- Book ID
- 104024312
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 217 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0377-0257
No coin nor oath required. For personal study only.
โฆ Synopsis
We apply the differential method of Roscoe (1952) to the problem of finding the viscosity of a suspension of non-colloidal spheres in a power-law matrix. The results are compared with other theories and published experiments, and reasonable agreement is found up to moderate concentrations ( โผ 0.5) when viscoelasticity and other effects are not important. The Roscoe paper depends on using a "crowding" function in the analysis; here two modified crowding functions are discussed, with a view to explaining the success of the Maron-Pierce formula, which does not reduce to the Einstein form for low concentrations.
๐ SIMILAR VOLUMES
In this paper we introduce metric-based means for the space of positive-definite matrices. The mean associated with the Euclidean metric of the ambient space is the usual arithmetic mean. The mean associated with the Riemannian metric corresponds to the geometric mean. We discuss some invariance pro