Revisiting the Taylor-Culick approximation: Retraction of an axisymmetric filament
Jean-Lou Pierson, Jacques Magnaudet, Edson J. Soares, Stéphane Popinet
Abstract
The Taylor-Culick approximation for a filament is revisited using numerical simulations. When the inertia force balances the surface tension force, a spherical blob appears at the extremity of the filament. This feature has a key impact on the tip dynamics, which moves with an oscillating velocity that has a mean value close to the Taylor-Culick prediction. On the other hand, in the viscous dominated regime, the radius of the filament grows uniformly over time, and no blob forms, making the tip velocity decrease after a short transient.
Topics & Concepts
Protein filamentRotational symmetryRADIUSMechanicsPhysicsInertiaTaylor seriesDynamics (music)Surface tensionTension (geology)Classical mechanicsMaterials scienceMathematicsMathematical analysisThermodynamicsComputer scienceMoment (physics)AcousticsComputer securityComposite materialFluid Dynamics and Heat TransferAdhesion, Friction, and Surface InteractionsMicro and Nano Robotics