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Interface dynamics in Hele-Shaw flows with centrifugal forces. Preventing cusp singularities with rotation
Magdaleno Escar, Francesc Xavier; Rocco, Andrea; Casademunt i Viader, Jaume
Universitat de Barcelona
A class of exact solutions of Hele-Shaw flows without surface tension in a rotating cell is reported. We show that the interplay between injection and rotation modifies the scenario of formation of finite-time cusp singularities. For a subclass of solutions, we show that, for any given initial condition, there exists a critical rotation rate above which cusp formation is suppressed. We also find an exact sufficient condition to avoid cusps simultaneously for all initial conditions within the above subclass.
2011-07-26
Dinàmica de fluids
Superfícies (Física)
Interfícies (Ciències físiques)
Nanotecnologia
Fluid dynamics
Surfaces (Physics)
Interfaces (Physical sciences)
Nanotechnology
(c) The American Physical Society, 2000
Article
The American Physical Society
         

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