Experimental Study on Transition in Fractal Patterns Derived from Vertical Flow

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概要

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• A fractal pattern was observed on the surface of a lower-density solution owing to gravitational instability, when a droplet of a higher-density solution was placed on the lower-density solution surface. The relationship between the fractal pattern and the vertical flow was studied in containers of different configurations and sizes in order to understand the formation dynamics. It was found that fractal patterns of similar structure emerge independent of the configuration. The transition from a fractal pattern to a cell pattern occurs at r \approx h in experiments involving the use of various sizes of containers, where r and h are the radius of the container and the depth of the lower-density solution, respectively. The vertical flow for fractal patterns is different from that for cell patterns and has an axisymmetric structure. These results indicate that an axisymmetric flow is necessary for the formation of a fractal pattern.

• 2012-09-15

著者

• Shimokawa Michiko

  Center for Frontier Science, Chiba University, Chiba 263-8522, Japan

関連論文

• Experimental Study on Transition in Fractal Patterns Derived from Vertical Flow

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