Dynamic stabilization of Rayleigh-Taylor instability in Newtonian fluids

A. R. Piriz, G. Rodriguez Prieto, I. Muñoz Díaz, J. J. López Cela, and N. A. Tahir
Phys. Rev. E 82, 026317 – Published 26 August 2010

Abstract

Dynamic stabilization of incompressible and immiscible Newtonian fluids is studied by means of an approximate analytical model that considers the vertical vibration of the interface between the fluids. The force driving the vibration is modeled by periodic sequences of Dirac deltas. The model shows the roles played by surface tension and viscosity in determining the stability boundaries and the relevant similarity parameters are found. The results are compared with previous theoretical and experimental studies that used a sinusoidal vibration and they are found to present the same qualitative features provided a symmetric sequence of Dirac deltas is considered. Instead, important differences are observed when an asymmetric driving is used.

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  • Received 5 May 2010

DOI:https://doi.org/10.1103/PhysRevE.82.026317

©2010 American Physical Society

Authors & Affiliations

A. R. Piriz*, G. Rodriguez Prieto, I. Muñoz Díaz, and J. J. López Cela

  • E.T.S.I. Industriales, Universidad de Castilla-La Mancha and Instituto de Investigaciones Energéticas, 13071 Ciudad Real, Spain

N. A. Tahir

  • GSI Helmholtzzentrum für Schwerionenforschung Darmstadt, Planckstrasse 1, 64291 Darmstadt, Germany

  • *roberto.piriz@uclm.es

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Vol. 82, Iss. 2 — August 2010

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