On the geometry of two-dimensional slices of irregular level sets in turbulent flows

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Isoscalar surfaces in turbulent flows are found to be more complex than (self-similar) fractals, in both the far field of liquid-phase turbulent jets and in a realization of Rayleigh-Taylor-instability flow. In particular, they exhibit a scale-dependent coverage dimension, D{sub 2}((lambda)), for 2-D slices of scalar level sets, that increases with scale, from unity, at small scales, to 2, at large scales. For the jet flow and Reynolds numbers investigated, the isoscalar-surface geometry is both scalar-threshold- and Re-dependent; the level-set (coverage) length decreases with increasing Re, indicating enhanced mixing with increasing Reynolds number; and the size distribution of closed regions is ... continued below

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Catrakis, H.J.; Cook, A.W.; Dimotakis, P.E. & Patton, J.M. March 20, 1998.

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Isoscalar surfaces in turbulent flows are found to be more complex than (self-similar) fractals, in both the far field of liquid-phase turbulent jets and in a realization of Rayleigh-Taylor-instability flow. In particular, they exhibit a scale-dependent coverage dimension, D{sub 2}((lambda)), for 2-D slices of scalar level sets, that increases with scale, from unity, at small scales, to 2, at large scales. For the jet flow and Reynolds numbers investigated, the isoscalar-surface geometry is both scalar-threshold- and Re-dependent; the level-set (coverage) length decreases with increasing Re, indicating enhanced mixing with increasing Reynolds number; and the size distribution of closed regions is well described by lognormal statistics at small scales. A similar D{sub 2}((lambda)) behavior is found for level-set data of 3-D density-interface behavior in recent direct numerical-simulation studies of Rayleigh-Taylor-instability flow. A comparison of (spatial) spectral and isoscalar coverage statistics will be disc

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1.2 Megabytes pages

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  • American Physical Society Division of Fluid Dynamics, Philadelphia, PA (US), 11/22/1998--11/14/1998

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  • Report No.: UCRL-JC-131726
  • Report No.: DP0101031
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 2861
  • Archival Resource Key: ark:/67531/metadc664330

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  • March 20, 1998

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  • June 29, 2015, 9:42 p.m.

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  • May 6, 2016, 1:48 p.m.

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Catrakis, H.J.; Cook, A.W.; Dimotakis, P.E. & Patton, J.M. On the geometry of two-dimensional slices of irregular level sets in turbulent flows, article, March 20, 1998; California. (digital.library.unt.edu/ark:/67531/metadc664330/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.