Abstract
Particulate suspensions of solids in liquids can be understood in terms of the microstructure of the solid phase by using the well-known techniques of numerical statistical mechanics. The major problem with such an approach has been the incorporation of the long-range, many-body hydrodynamic forces between the suspended particles. In this paper I describe a general computational method for calculating the forces and torques exerted by slowly moving spheres suspended in an incompressible fluid. The method can be used to determine bulk constitutive properties of solid-fluid suspensions or particulate porous media. Numerical results for the sedimentation velocity and high frequency viscosity of monodisperse suspensions have been obtained, and the results are shown to compare very well with experimental measurement.
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References
J. Happel and H. Brenner, Low-Reynolds Number Hydrodynamics, (Martinus Nijhoff, Dordrecht, 1986).
A. Einstein, Investigations on the Theory of the Brownian Movement, (Dover Publications, New York, 1956).
D.L. Ermak and J.A. McCammon, J. Chem. Phys. 69, 1352 (1978).
W. Van Megen and I. Snook, J Chem. Soc. Farad. Trans. II. 80, 383 (1984).
J.F. Brady and G. Bossis, J. Fluid Mech. 155, 105 (1985).
C.W.J. Beenakker and P. Mazur, Physica A 120, 388 (1983).
L. Durlofsky, J.F. Brady and G. Bossis, J. Fluid Mech. 180, 21 (1987).
R.J. Phillips, J.F. Brady and G. Bossis, Phys. Fluids 31, 3462 (1988).
A.J.C. Ladd, J. Chem. Phys. 88, 5051 (1988).
A.J.C. Ladd, J. Chem. Phys. 90, 1149 (1989).
P. Mazur and W. Van Saarloos, Physica A 115, 21 (1982).
A.J.C. Ladd, J.Chem. Phys. submitted (1989).
D.J. Jeffrey and Y. Onishi, Fluid Mech. 139, 261 (1984).
S. Kim and R.T. Miflin, Phys. Fluids 28, 2033 (1985).
D.J. Jeffrey and R.M. Corless, Physico Chem. Hydrodyn. 10, 461 (1988).
B.U. Felderhof, Physica A 82, 611 (1976).
B.U. Felderhof, Physica A 159, 1 (1989).
R.L. Treloar and A.J. Masters,Mol. Phys. 67, 1273 (1989).
H. Hasimoto, J. Fluid Mech. 5, 317 (1959).
R. Buscali, J.W. Goodwin, R.H. Ottewill and T.F. Trados, J. Colloid Interface Sci. 85, 78 (1982).
J.-C. Bacri, C. Frénois, M. Hoyos, R. Perzynski, N. Rakotomalala and D. Salin, Europhys. Lett. 2, 123 (1986).
DJ. Cebula, R.H. Ottewill, J. Ralston and P.N. Pusey, J. Chem. Soc. Faraday J Trans. 77, 2585 (1981).
C.W.J. Beenakker and P. Mazur, Physica A 126, 349 (1984).
J.F. Brady and L.J. Durlofsky, Phys. Fluids 31, 717 (1988).
C.W.J. Beenakker, Physica A 128, 48 (1984).
B. Cichocki and B.U. Felderhof, Physica A 154, 213 (1989).
J.C. van der Werff, C.G. de Kruiff, C. Blom and J. Mellema, Phys. Rev. A 39, 795 (1989).
D. Bedeaux, J. Colloid Interface Sci., 118, 80 (1987).
B. Cichocki and B.U. Felderhof, J. Chem. Phys. 89, 1049 (1988).
G. Bossis and J.F. Brady, J. Chem. Phys. 87, 5437 (1987).
A.J.C. Ladd, M.E. Colvin and D. Frenkel, Phys. Rev. Lett. 60, 975 (1988).
U. Frisch, D. d’Humières, B. Hasslacher, P. Lallemand, Y. Pomeau and J-P. Rivet, Complex Systems 1, 649 (1987).
A.J.C. Ladd unpublished work (1989).
J.C. van der Werff, C.G. de Kruiff and J.K.G. Dhont, Physica A 160, 205 (1989).
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© 1990 Plenum Press, New York
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Ladd, A.J.C. (1990). Hydrodynamic Interactions and Transport Coefficients in a Suspension of Spherical Particles. In: Mareschal, M. (eds) Microscopic Simulations of Complex Flows. NATO ASI Series, vol 236. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1339-7_9
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DOI: https://doi.org/10.1007/978-1-4684-1339-7_9
Publisher Name: Springer, Boston, MA
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