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Published February 2, 1998 | public
Journal Article Open

Shape Complexity in Turbulence

Abstract

The shape complexity of irregular surfaces is quantified by a dimensionless area-volume measure. A joint distribution of shape complexity and size is found for level-set islands and lakes in two-dimensional slices of the scalar field of liquid-phase turbulent jets, with complexity values increasing with size. A well-defined power law, over 3 decades in size (6 decades in area), is found for the shape complexity distribution. Such properties are important in various phenomena that rely on large area-volume ratios of surfaces or interfaces, such as turbulent mixing and combustion.

Additional Information

©1998 The American Physical Society Received 4 September 1997 Support under AFOSR Grant No. F49260-94-1-0353 and discussions with C. Bond, M. Cross, H. Lam, and A. Leonard, as well as assistance by G. Gornowicz with the B-spline representation of the scalar fields, are gratefully acknowledged.

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