Abstract
Emulsions of incompressible viscoelastic materials are considered, in which the addition of an interfacial agent causes the interfacial tension to depend on shear deformation and variation of area. The average complex shear modulus of the medium accounts for the mechanical interactions between inclusions by a self consistent treatment similar to the Lorentz sphere method in electricity. The resulting expression of the average modulus includes as special cases the Kerner formula for incompressible elastic materials and the Oldroyd expression of the complex viscosity of emulsions of Newtonian liquids in time-dependent flow.
Similar content being viewed by others
References
Einstein A (1906/1911) Ann Phys 19:289; 34:591
Fröhlich H, Sack R (1946) Proc Roy Soc A185:415
Taylor GI (1932) Proc Roy Soc A138:41
Oldroyd JG (1953) Proc Roy Soc A218:122
Oldroyd JG (1955) Proc Roy Soc A232:567
Kerner EH (1956) Proc Roy Soc B69:808
Batchelor GK, Green JT (1972) J Fluid Mech 56:401
Schowalter WR, Chaffey CE, Brenner H (1968) J of Colloid and Interface Sci 26:152
Choi SJ, Schowalter WR (1972) Phys of Fluids 18:420
Batchelor GK (1969) J Fluid Mech 41:545
Landau L, Lifshitz EM (1959) Fluid mechanics, § 22. Addison Wesley, Reading MA
Lucassen J, van der Tempel M (1972) Chem Eng Sci 27:1283
Love AEH (1893/1954) Mathematical theory of elasticity. Cambridge University Press
Oseen CW (1927) Neure Methoden und Ergebnisse in der Hydrodynamic. Akad Verlag, Leipzig
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Palierne, J.F. Linear rheology of viscoelastic emulsions with interfacial tension. Rheol Acta 29, 204–214 (1990). https://doi.org/10.1007/BF01331356
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01331356