The stress system in a suspension of force-free particles

Journal of Fluid Mechanics

Volumn 41, Issue 3, 1970, Pages 545-570

  Batchelor, G K ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; JFLSA; SUSPENSIONS;

EID: 0014767108     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112070000745     Document Type: Article

References (18)

1. Cox, R. G. 1969 The deformation of a drop in a general time-dependent fluid flow. J. Fluid Mech. 37, 601–623.
2. Giesekus, H. 1962 Elasto-viskose Flüssigkeiten, für die in stationären Schichtströmungen sämtliche Normalspannungskomponenten verschieden gross sind. Rheol. Acta, 2, 50–62.
3. Goddard, J. D. & Miller, C. 1967 Nonlinear effects in the rheology of dilute suspensions. J. Fluid Mech. 28, 657–673.
4. Hand, G. L. 1962 A theory of anisotropic fluids. J. Fluid Mech. 13, 33–46.
5. Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.
6. Hashin, Z. 1964 Theory of mechanical behaviour of heterogeneous media. Appl. Mech. Rev. 17, 1–9.
7. Hill, R. 1963 Elastic properties of reinforced solids: some theoretical principles. J. Mech. Phys. Solids, 11, 357–372.
8. Jeffery, G. B. 1922 The motion of ellipsoidal particles immersed in a viscous fluid. Proc. Roy. Soc. A 102, 161–179.
9. Jeffreys, H. & Jeffreys, B. J. 1966 Methods of Mathematical Physics. Cambridge University Press.
10. Lamb, H. 1932 Hydrodynamics, 6th ed. Cambridge University Press.
11. Landau, L. D. & Lifschitz, E. M. 1959 Fluid Mechanics. Pergamon Press.
12. McTague, J. P. 1969 Magnetoviscosity of magnetic colloids. J. Chem. Phys. 51, 133–136.
13. Peterson, J. M. & Fixman, M. 1963 Viscosity of polymer solutions. J. Chem. Phys. 39, 2516–2523.
14. Roscoe, R. 1967 On the rheology of a suspension of viscoelastic spheres in a viscous liquid. J. Fluid Mech. 28, 273–293.
15. Rosenkilde, C. E. 1967 Surface-energy tensors. J. Math. Phys. 8, 84–88.
16. Takserman-Krozer, R. & Ziabicki, A. 1963 Behaviour of polymer solutions in a velocity field with parallel gradient, Parts I and II. J. Polymer Sci. A, 1, 491–515.
17. Taylor, G. I. 1932 The viscosity of a fluid containing small drops of another fluid. Proc. Roy. Soc. A 138, 41–48.
18. Taylor, G. I. 1934 The formation of emulsions in definable fields of flow. Proc. Roy. Soc. A 146, 501–523.