Elastic-plastic Rayleigh-Taylor instability at a cylindrical interface

A. R. Piriz, S. A. Piriz, and N. A. Tahir
Phys. Rev. E 104, 035102 – Published 7 September 2021

Abstract

The boundaries of stability are determined for the Rayleigh-Taylor instability at a cylindrical interface between an ideal fluid in the interior and a heavier elastic-plastic solid in the outer region. The stability maps are given in terms of the maximum dimensionless initial amplitude ξth* that can be tolerated for the interface to remain stable, for any particular value of the dimensionless radius B of the surface, and for the different spatial modes m of the perturbations. In general, for the smallest dimensionless radius and larger modes m, the interface remains stable for larger values of ξth*. In particular, for m>1 and B0, it turns out ξth*1, and a cylindrical geometry equivalent to Drucker's criterion is found, which indeed ends up being independent of the interface geometry.

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  • Received 20 May 2021
  • Accepted 20 August 2021

DOI:https://doi.org/10.1103/PhysRevE.104.035102

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

A. R. Piriz* and S. A. Piriz

  • Instituto de Investigaciones Energéticas, ETSII, and CYTEMA, Universidad de Castilla–La Mancha, 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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Issue

Vol. 104, Iss. 3 — September 2021

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