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.
- 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}
}