## 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 Lab. (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. doi:10.1103/PhysRevE.93.023104.
```

```
Mikaelian, Karnig O. Mon .
"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}

}

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