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ArticlesNo Access

ANNIHILATIVE FRACTALS FORMED IN RAYLEIGH-TAYLOR INSTABILITY

MICHIKO SHIMOKAWA

Department of Mathematics and Physics, Faculty of Engineering, Setsunan University, 17-8, Ikeda-Nakamachi, Neyagawa, Osaka 572-8508, Japan

Current address: Center for Frontier Science, Chiba University, 1–33, Yayoi-Cho, Inage-Ku, Chiba 263-0022, Japan

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and

Department of Earth System Science and Technology, Kyushu University, Kasuga, Fukuoka 816-8580, Japan

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https://doi.org/10.1142/S0218348X12500090Cited by:5 (Source: Crossref)

Abstract

We report on a fractal pattern formed in Rayleight-Taylor instability. The fractal dimension is 1.88 ± 0.06, which is constant in time t > t₁ = 70 s. The pattern area decreases according to exp(-t/τ), where t and τ are time and time constant 69.8 s, respectively. τ agrees with t₁. This result leads that it is important for the fractal formation that sufficient annihilation of the heavier solution at the surface.

Keywords:

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Journal cover image

Vol. 20, No. 01

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Downloaded 80 times

History

Received 22 March 2011

Accepted 3 July 2011

Keywords