Revisiting the Taylor-Culick approximation. II. Retraction of a viscous sheet
Hiranya Deka, Jean-Lou Pierson
Abstract
The retraction of a viscous liquid sheet is studied using direct numerical simulations and long-wave asymptotic models. In the viscous regime, there exists a self-similar solution for the interface and the velocity profiles of a retracting sheet. This similarity solution reveals that the tip speed decreases as a function of time for a finite liquid sheet in contrast to the steady speed reached in the inertia dominated regime. Direct numerical simulations corroborate these theoretical predictions.
Topics & Concepts
InertiaViscous liquidMechanicsSimilarity (geometry)PhysicsFunction (biology)Materials scienceClassical mechanicsComputer scienceBiologyArtificial intelligenceEvolutionary biologyImage (mathematics)Fluid Dynamics and Heat TransferFluid Dynamics and Thin FilmsNonlinear Dynamics and Pattern Formation