Title:
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Interface dynamics in Hele-Shaw flows with centrifugal forces. Preventing cusp singularities with rotation
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Author:
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Magdaleno Escar, Francesc Xavier; Rocco, Andrea; Casademunt i Viader, Jaume
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-Dinàmica de fluids -Superfícies (Física) -Interfícies (Ciències físiques) -Nanotecnologia -Fluid dynamics -Surfaces (Physics) -Interfaces (Physical sciences) -Nanotechnology |
Rights:
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(c) The American Physical Society, 2000
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Document type:
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Article Article - Published version |
Published by:
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The American Physical Society
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