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 that can be tolerated for the interface to remain stable, for any particular value of the dimensionless radius of the surface, and for the different spatial modes of the perturbations. In general, for the smallest dimensionless radius and larger modes , the interface remains stable for larger values of . In particular, for and , it turns out , and a cylindrical geometry equivalent to Drucker's criterion is found, which indeed ends up being independent of the interface geometry.
- Received 20 May 2021
- Accepted 20 August 2021
DOI:https://doi.org/10.1103/PhysRevE.104.035102
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