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Stationary patterns in centrifugally driven interfacial elastic fingering.
- Source :
-
Physical Review E: Statistical, Nonlinear & Soft Matter Physics . Dec2014, Vol. 90 Issue 6, p1-1. 1p. - Publication Year :
- 2014
-
Abstract
- A vortex sheet formalism is used to search for equilibrium shapes in the centrifugally driven interfacial elastic fingering problem. We study the development of interfacial instabilities when a viscous fluid surrounded by another of smaller density flows in the confined environment of a rotating Hele-Shaw cell. The peculiarity of the situation is associated to the fact that, due to a chemical reaction, the two-fluid boundary becomes an elastic layer. The interplay between centrifugal and elastic forces leads to the formation of a rich variety of stationary shapes. Visually striking equilibrium morphologies are obtained from the numerical solution of a nonlinear differential equation for the interface curvature (the shape equation), determined by a zero vorticity condition. Classification of the various families of shapes is made via two dimensionless parameters: an effective bending rigidity (ratio of elastic to centrifugal effects) and a geometrical radius of gyration. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15393755
- Volume :
- 90
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Physical Review E: Statistical, Nonlinear & Soft Matter Physics
- Publication Type :
- Academic Journal
- Accession number :
- 109302072
- Full Text :
- https://doi.org/10.1103/PhysRevE.90.063009