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• W2007372023 abstract "Liquid capsules with an elastic membrane surface in simple shear flow are considered beyond the regime of small deformations. A simple model is introduced to give a mathematical description of an elastic membrane in viscous flow. The question of whether there is a steady state of a system of a single membrane in external shear flow is studied. It is found by analytical considerations that the possible steady-state flows are restricted by symmetry. The evolution of the membrane in time is found by numerical calculations. For a single spherically symmetric membrane, I find by numerical simulations, a steady-state shape and its dependence on the shear strength. For nonspherically symmetric membranes we see that there is no steady-state shape in general, but by numerical simulations I find that the shape changes can become periodic. This leads to a new alternative explanation of previous experimental results. The stress tensor of the membranes and the effective viscosity of a dilute system of elastic membranes immersed in a liquid is calculated. I find an agreement with former analytical calculations for small shear, and obtain shear thinning behavior when the shear rate is increased." @default.
• W2007372023 created "2016-06-24" @default.
• W2007372023 creator A5006066965 @default.
• W2007372023 date "1998-08-01" @default.
• W2007372023 modified "2023-09-25" @default.
• W2007372023 title "Elastic membranes in viscous shear flow" @default.
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• W2007372023 doi "https://doi.org/10.1063/1.869702" @default.
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