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Center for Nonlinear Studies |
Tank-treading, tumbling and trembling are different types of vesicle behavior in an external flow. We derive a dynamical equation enabling to establish a state of nearly spherical vesicles. For a $2d$ external flow, the character of the vesicle dynamics is determined by two dimensionless parameters, which depend on the vesicle excess area, fluid viscosities, membrane viscosity and bending modulus, strength of the flow, and ratio of the elongational and rotational components of the flow. The tank-treading to tumbling transition occurs via a saddle-node bifurcation whereas the tank-treading to trembling transition occurs via a Hopf bifurcation. This is a joint work with K.S.Turitsyn and S.S.Vergeles.
Host: Misha Chertkov