ANNIHILATIVE FRACTALS FORMED IN RAYLEIGH-TAYLOR INSTABILITY-Reference-Cited by-同舟云学术

ANNIHILATIVE FRACTALS FORMED IN RAYLEIGH-TAYLOR INSTABILITY

Published:2012-03 Issue:01 Volume:20 Page:97-104
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

SHIMOKAWA MICHIKO¹,OHTA SHONOSUKE²

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X12500090

Reference24 articles.

1. Complex fractal dimension of the bronchial tree

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