Nonlinear saturation amplitude of cylindrical Rayleigh–Taylor instability

doi:10.1088/1674-1056/23/9/094502

Abstract The nonlinear saturation amplitude (NSA) of the fundamental mode in the classical Rayleigh-Taylor instability with a cylindrical geometry for an arbitrary Atwood number is analytically investigated by considering the nonlinear corrections up to the third order. The analytic results indicate that the effects of the initial radius of the interface (r₀) and the Atwood number (A) play an important role in the NSA of the fundamental mode. The NSA of the fundamental mode first increases gently and then decreases quickly with increasing A. For a given A, the smaller the r₀/λ (λ is the perturbation wavelength), the larger the NSA of the fundamental mode. When r₀/λ is large enough (r₀ λ), the NSA of the fundamental mode is reduced to the prediction in the previous literatures within the framework of the third-order perturbation theory.

Keywords: nonlinear saturation amplitude Rayleigh-Taylor instability cylindrical interface

Received: 30 December 2013
Revised: 27 February 2014
Accepted manuscript online:

PACS:	52.57.Fg	(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
	47.20.Ma	(Interfacial instabilities (e.g., Rayleigh-Taylor))
	52.35.Py	(Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))
	52.65.Vv	(Perturbative methods)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10835003 and 11274026) and the Scientific Research Foundation of Mianyang Normal University, China (Grant No. 07165411).

Corresponding Authors: Yu Chang-Ping
E-mail: champion-yu@163.com

Cite this article:

Liu Wan-Hai (刘万海), Yu Chang-Ping (于长平), Ye Wen-Hua (叶文华), Wang Li-Feng (王立峰) Nonlinear saturation amplitude of cylindrical Rayleigh–Taylor instability 2014 Chin. Phys. B 23 094502

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