Effective viscosity of a periodic suspension

Journal of Fluid Mechanics

Volumn 142, Issue , 1984, Pages 269-287

  Keller, Joseph B ^b  

^a IBM T J WATSON RESEARCH CENTER   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SUSPENSIONS;

EID: 0021641959     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112084001105     Document Type: Article

References (11)

1. Batchelor, G. K. 1970 The stress system in a suspension of force-free particles. J. Fluid Mæch. 41, 545–570.
2. Frankel, N. A. & Acrivos, A. 1967 On the viscosity of a concentrated suspension of solid spheres. Chem. Engng Sci. 22, 847–853.
3. Hasimoto, H. 1959 On the periodic fundamental solutions of the Stokes equations and their applications to viscous flow past a cubic array of spheres. J. Fluid Mæch. 5, 317–336.
4. Hinch, E. J. 1972 Note on the symmetries of certain material tensors for a particle in Stokes flow. J. Fluid Mæch. 54, 423–425.
5. Kafral, R. & Bedeaux, D. 1978 The effective shear viscosity of a regular array of suspended spheres. Physica 91 A, 590–602.
6. Lorentz, H. A. 1896 Amsterdam, Zittingsverlag Akad. v. Wet. 5, 168.
7. Nunan, K. C. 1983 Effective properties of composite media containing periodic arrays of spheres. Ph.D. thesis, Stanford University.
8. Zick, A. A. 1983 Heat conduction through periodic arrays of spheres. Inti J. Heat Mass Transfer 26, 465–469.
9. Zick, A. A. & Homsy, G. M. 1982 Stokes flow through periodic arrays of spheres. J. Fluid Mæch. 115, 13-26.
10. Zuzovsky, M. 1976 Transport processes in spatially periodic suspensions. Ph.D. thesis, Carnegie-Mellon University [76–30188].
11. Zuzovsky, M., Adler, P. M. & Brenner, H. 1983 Spatially periodic suspensions of convex particles in linear shear flows III. Dilute arrays of spheres suspended in Newtonian fluids. Phys. Fluids 26, 1714–1723.