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Title: Viscous Rayleigh-Taylor instability in spherical geometry

Journal Article · · Physical Review E
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
+ Show Author Affiliations

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.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1240972
Alternate ID(s):
OSTI ID: 1237397
Report Number(s):
LLNL-JRNL-677099; PLEEE8
Journal Information:
Physical Review E, Vol. 93, Issue 2; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

References (25)

Effects of surface tension and viscosity on Taylor instability journal January 1954
The Character of the Equilibrium of an Incompressible Fluid Sphere of Variable Density and Viscosity Subject to Radial Acceleration journal January 1955
Inhibition of turbulence in inertial-confinement-fusion hot spots by viscous dissipation journal May 2014
The stability of the surface of a cavitation bubble journal January 1953
On the stability of two superposed fluids journal April 1965
Rayleigh-Taylor instability in finite-thickness fluids with viscosity and surface tension journal October 1996
Effect of viscosity on Rayleigh-Taylor and Richtmyer-Meshkov instabilities journal January 1993
Unstable normal mode for Rayleigh–Taylor instability in viscous fluids journal January 1977
On the Stability of Fluid Flows with Spherical Symmetry journal January 1954
Approximate treatment of density gradients in Rayleigh-Taylor instabilities journal February 1986
The effects of surface tension and viscosity on the stability of two superposed fluids journal April 1961
Laser Compression of Matter to Super-High Densities: Thermonuclear (CTR) Applications journal September 1972
The character of the equilibrium of an incompressible heavy viscous fluid of variable density: an approximate theory journal January 1955
On the Bell–Plesset effects: The effects of uniform compression and geometrical convergence on the classical Rayleigh–Taylor instability journal November 2004
The character of the equilibrium of an incompressible heavy viscous fluid of variable density journal January 1955
Motion of two superposed viscous fluids journal January 1981
Rayleigh-Taylor instability at spherical interfaces between viscous fluids: Fluid/vacuum interface journal May 2015
Mode 1 drive asymmetry in inertial confinement fusion implosions on the National Ignition Facility journal April 2014
Instability of the interface of two gases accelerated by a shock wave journal January 1972
The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I journal March 1950
Comment on ‘‘Rayleigh-Taylor instability in spherical geometry’’ journal July 1987
Taylor instability in shock acceleration of compressible fluids journal May 1960
Rayleigh-Taylor instability in spherical geometry journal April 1986
Radiation hydrodynamics modeling of the highest compression inertial confinement fusion ignition experiment from the National Ignition Campaign journal February 2015
Viscous effects on perturbed spherical flows journal January 1977

Cited By (1)

The stability of the contact interface of cylindrical and spherical shock tubes journal June 2018

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71 CLASSICAL AND QUANTUM MECHANICS
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