Viscous Rayleigh-Taylor instability in spherical geometry

Mikaelian, Karnig O.

doi:10.1103/PhysRevE.93.023104

Viscous Rayleigh-Taylor instability in spherical geometry

Journal Article · Mon Feb 08 00:00:00 EST 2016 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.93.023104· OSTI ID:1240972

Mikaelian, Karnig O. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

We consider viscous fluids in spherical geometry, a lighter fluid supporting a heavier one. Chandrasekhar [Q. J. Mech. Appl. Math. 8, 1 (1955)] analyzed this unstable configuration providing the equations needed to find, numerically, the exact growth rates for the ensuing Rayleigh-Taylor instability. He also derived an analytic but approximate solution. We point out a weakness in his approximate dispersion relation (DR) and offer one that is to some extent improved.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1240972

Alternate ID(s):: OSTI ID: 1237397

Report Number(s):: LLNL-JRNL--677099

Journal Information:: Physical Review E, Journal Name: Physical Review E Journal Issue: 2 Vol. 93; ISSN PLEEE8; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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