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Shape Complexity in Turbulence

Catrakis, Haris J. and Dimotakis, Paul E. (1998) Shape Complexity in Turbulence. Physical Review Letters, 80 (5). pp. 968-971. ISSN 0031-9007. doi:10.1103/PhysRevLett.80.968.

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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.

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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.
Issue or Number:5
Record Number:CaltechAUTHORS:CATprl98
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5510
Deposited By: Archive Administrator
Deposited On:20 Oct 2006
Last Modified:08 Nov 2021 20:26

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