The behavior of closed inextensible membranes in linear and quadratic shear flows
arXiv:chao-dyn/9906006 · doi:10.1016/S0378-4371(99)00563-4
Abstract
The dynamics of a spheroidal vesicle, bounded by an inextensible membrane, is analyzed in function of the enclosed fluid viscosity, and of the membrane mechanical properties. The two situations in which a bending rigidity and a shear elasticity are the potential energy source in the membrane have been compared, and the stability properties of quasi-spherical vesicle shapes discussed. The transition from tank-treading to flipping motion in an external shear flow, has been studied in function of the vesicle internal viscosity and of the strength of the shear quadratic component. The transverse lift strength has been calculated in both cases of a tank-treading and of a flipping motion regime.
16 pages, Latex, one eps figure included
References in corpus (5)
- Fluid Vesicles in Shear Flow
- Fluid membranes in hydrodynamic flow fields: Formalism and an application to fluctuating quasi-spherical vesicles in shear flow
- The lift on a tank-treading ellipsoidal cell in a bounded shear flow
- A simplified model for red cell dynamics in small blood vessels
- The role of tank-treading motions in the transverse migration of a spheroidal vesicle in a shear flow
Cited by in corpus (12)
- Red blood cells and other non-spherical capsules in shear flow: oscillatory dynamics and the tank-treading-to-tumbling transition
- Dynamics of a viscous vesicle in linear flows
- Dynamics of nearly spherical vesicles in an external flow
- Vesicles in a Poiseuille flow
- Fluid Vesicles in Flow
- Lift at low Reynolds number
- Spatio-temporal dynamics of dilute red blood cell suspensions in a microchannel flow at low Reynolds number
- Geometry and dynamics of lipid membranes: The Scriven--Love number
- Effective swimming strategies in low Reynolds number flows
- Tank-treading as a means of propulsion in viscous shear flows
- On the complex dynamics of a red blood cell in simple shear flow
- Enucleated incompressible red blood cells in shear flow: theoretical analysis of shape instabilities