Rayleigh--Taylor instability in a spherically stagnating system

Journal Article · Thu May 01 00:00:00 EDT 1986 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865637· OSTI ID:5870871

Hattori, F; Takabe, H; Mima, K

The Rayleigh--Taylor instability induced on the fuel--pusher interface in the deceleration phase of shell implosion is investigated in spherical geometry. A linearized equation for the perturbation from the background dynamics described by a self-similar motion is solved analytically and numerically. The effective growth rate of the Rayleigh--Taylor instability is not found to be sensitive to the compressibility. In a spherical system where the gravity and wavelength of the perturbation vary in time and space, the growth of the perturbation is found to be approximately expressed in the form Vertical BarxiVertical Barproportional R/sub c/ exp(..integral..(..cap alpha../sub A/k/sub eff/g/sub eff/)/sup 1/2/dt), where k/sub eff/ and g/sub eff/ are the effective wavelength and gravity at the contact surface, with R/sub c/ the radius and ..cap alpha../sub A/ the Atwood number.

• Research Organization: Institute of Laser Engineering, Osaka University, Suita, Osaka 565, Japan
• OSTI ID: 5870871
• Journal Information: Phys. Fluids; (United States), Vol. 29:5
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA
RAYLEIGH-TAYLOR INSTABILITY
INSTABILITY GROWTH RATES
ANALYTICAL SOLUTION
COMPRESSIBILITY
DISTURBANCES
DYNAMICS
EIGENVALUES
EQUATIONS
GRAVITATION
IMPLOSIONS
INTERFACES
NUMERICAL SOLUTION
SENSITIVITY
SHELLS
SPHERICAL CONFIGURATION
STAGNATION
WKB APPROXIMATION
CONFIGURATION
INSTABILITY
MECHANICAL PROPERTIES
MECHANICS
700208* - Fusion Power Plant Technology- Inertial Confinement Technology