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Title: Viscous Rayleigh-Taylor instability in spherical geometry

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.
Authors:
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Report Number(s):
LLNL-JRNL-677099
Journal ID: ISSN 2470-0045; PLEEE8
Grant/Contract Number:
AC52-07NA27344
Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 93; Journal Issue: 2; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Research Org:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1240972
Alternate Identifier(s):
OSTI ID: 1237397

Mikaelian, Karnig O. Viscous Rayleigh-Taylor instability in spherical geometry. United States: N. p., Web. doi:10.1103/PhysRevE.93.023104.
Mikaelian, Karnig O. Viscous Rayleigh-Taylor instability in spherical geometry. United States. doi:10.1103/PhysRevE.93.023104.
Mikaelian, Karnig O. 2016. "Viscous Rayleigh-Taylor instability in spherical geometry". United States. doi:10.1103/PhysRevE.93.023104. https://www.osti.gov/servlets/purl/1240972.
@article{osti_1240972,
title = {Viscous Rayleigh-Taylor instability in spherical geometry},
author = {Mikaelian, Karnig O.},
abstractNote = {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.},
doi = {10.1103/PhysRevE.93.023104},
journal = {Physical Review E},
number = 2,
volume = 93,
place = {United States},
year = {2016},
month = {2}
}