Abstract
Presence of surfactants and cosurfactants in microemulsions results in a very low surface tension. For this reason, the bending effects become of particular significance. In this paper a fluid/fluid interface is considered as a two-dimensional continuum described by two independent vectors — a velocity vector v s and an intrinsic angular velocity vector w s ; in such media a couple-stress tensor appears simultaneously with a stress tensor. The theory of non-equilibrium thermodynamics is applied to the system under consideration to obtain the linear phenomenological relations. It results in eight viscosity coefficients being attributed to the interface. Two equations of Navier-Stokes type for the velocity vector and the angular velocity vector are obtained.
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Povstenko, Y. (1997). Modelling of Bending Effects in Oil-Water Microemulsions. In: Brøns, M., Bendsøe, M.P., Sørensen, M.P. (eds) Progress in Industrial Mathematics at ECMI 96. European Consortium for Mathematics in Industry, vol 9. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96688-9_36
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DOI: https://doi.org/10.1007/978-3-322-96688-9_36
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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