Lateral instability in normal viscous fingers

We study a low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger by means of a phase-field model. We observe such an instability in two situations in which small dynamic perturbations are overimposed to a constant pressure drop. We first study the case in which the perturba...

Full description

Bibliographic Details
Authors: Ledesma Aguilar, Rodrigo Andrés, Quevedo-Reyes, M., Corvera Poiré, Eugenia, Hernández Machado, Aurora
Format: article
Status:Published version
Publication Date:2005
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18701
Online Access:https://hdl.handle.net/2445/18701
Access Level:Open access
Keyword:Dinàmica de fluids
Viscositat
Fluid dynamics
Viscosity
Description
Summary:We study a low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger by means of a phase-field model. We observe such an instability in two situations in which small dynamic perturbations are overimposed to a constant pressure drop. We first study the case in which the perturbation consists of a single oscillatory mode and then a case in which the perturbation consists of temporal noise. In both cases the instability undergoes a process of selection.