Viscous Rayleigh-Taylor instability in spherical geometry
Abstract
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:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1240972
- Alternate Identifier(s):
- OSTI ID: 1237397
- Report Number(s):
- LLNL-JRNL-677099
Journal ID: ISSN 2470-0045; PLEEE8
- Grant/Contract Number:
- AC52-07NA27344
- Resource 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)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Mikaelian, Karnig O. Viscous Rayleigh-Taylor instability in spherical geometry. United States: N. p., 2016.
Web. doi:10.1103/PhysRevE.93.023104.
Mikaelian, Karnig O. Viscous Rayleigh-Taylor instability in spherical geometry. United States. https://doi.org/10.1103/PhysRevE.93.023104
Mikaelian, Karnig O. Mon .
"Viscous Rayleigh-Taylor instability in spherical geometry". United States. https://doi.org/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 = {Mon Feb 08 00:00:00 EST 2016},
month = {Mon Feb 08 00:00:00 EST 2016}
}
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Works referencing / citing this record:
The stability of the contact interface of cylindrical and spherical shock tubes
journal, June 2018
- Crittenden, Paul E.; Balachandar, S.
- Physics of Fluids, Vol. 30, Issue 6