Abstract
The linear viscoelastic response of an ordered dense emulsion is explored by numerical simulation. At concentrations below maximum packing, the stress relaxation is dominated by a single time scale associated with lubrication, which diverges at maximum packing. For concentrations above maximum packing, the stress relaxation is dominated by fast time scales of the order of the drop relaxation time. A slow time scale appears but does not dominate.
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References
Princen, H. M. 1985. Rheology of foams and highly concentrated emulsions:II—Experimental study of the yield stress and wall effects for concentrated oil-in-water emulsions. Journal of Colloid and Interface Science 105, 150–171.
Princen, H. M., and A.D. Kiss. 1986. Rheology of foams and highly concentrated emulsions: III—Static shear modulus. Journal of Colloid and Interface Science 112, 427–437.
Princen, H. M., and A. D. Kiss. 1989. Rheology of foams and highly concentrated emulsions: IV—An experimental study of the shear viscosity and yield stress of concentrated emulsions. Journal of Colloid and Interface Science 128, 176–189.
Mason, T. G., J. Bibette, and D. A. Weitz. 1996. Yielding and flow of monodisperse emulsions. Journal of Colloid and Interface Science 179, 439–448.
Mason, T. G., M. D. Lacasse, G. S. Grest, D. Levine, J. Bibette, and D. A Weitz. 1997. Osmotic pressure and viscoelastic shear moduli of concentrated emulsions. Physical Review E 56, 3150–3166.
Tewari, S., D. Schiemann, D. J. Durian, C. M. Knobler, S. A. Langer, and A. J. Liu. 1999. Statistics of shear-induced rearrangements in a two-dimensional model foam. Physical Review E 60, 4385–4396.
Princen, H. M. 1979. Highly concentrated emulsions. Journal of Colloid and Interface Science bf 71, 55–66.
Princen, H. M. 1983. Rheology of foams and highly concentrated emulsions. Journal of Colloid and Interface Science 91, 160–175.
Buzza, D. M. A., and M. E. Cates. 1994. Uniaxial elastic modulus of concentrated emulsions. Langmuir 10, 4503–4508.
Reinelt, D. A., and A. M. Kraynik. 1996. Simple shearing flow of a dry Kelvin soap foam. Journal of Fluid Mechanics 311, 327–342.
Weaire, D., T. L. Fu, and Kermode. 1986. On the shear elastic constant of a two-dimensional froth. Philosophical Magazine B 54, L39–L43.
Lacasse, M. D., G. S. Grest, D. Levine, T. G. Mason, and D. A. Weitz. 1996. Model for the elasticity of compressed emulsions. Physical Review Letters 76, 3448–3451.
Okuzono, T., and K. Kawasaki. 1993. Rheology of random foams. Journal of Rheology 37, 571–586.
Durian, D. J. 1995. Foam mechanics at the bubble scale. Physical Review Letters 75, 4780–4783.
Mysels, K. J., K. Shinoda, and S. Frankel. 1959. Soap Films: A Study of Their Thinning and a Bibliography. Tarrytown, N.Y.: Pergamon Press.
Reinelt, D. A., and A. M. Kraynik. 1990. On the shearing flow of foams and concentrated emulsions. Journal of Fluid Mechanics 215, 1235–1253.
Durian, D. J. 1997. Bubble-scale model of foam mechanics: Melting, nonlinear ehavior, and avalanches. Physical Review E 55, 1739–1751.
Frisch, U., B. Hasslacher, and Y. Pomeau. 1986. Lattice-gas automata for the navier-Stokes equation. Physical Review Letters 56, 1505–1508.
Pozrikidis, C. 1992. Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge: Cambridge University Press.
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© 2001 Kluwer Academic Publishers
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Nemer, M., Blawzdziewicz, J., Loewenberg, M. (2001). Linear Viscoelasticity of Concentrated Emulsions. In: Aref, H., Phillips, J.W. (eds) Mechanics for a New Mellennium. Springer, Dordrecht. https://doi.org/10.1007/0-306-46956-1_5
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DOI: https://doi.org/10.1007/0-306-46956-1_5
Publisher Name: Springer, Dordrecht
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