Growth rate exponents of Richtmyer-Meshkov mixing layers

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The Richtmyer-Meshkov mixing layer is initiated by the passing of a shock over an interface between fluid of differing densities. The energy deposited during the shock passage undergoes a relaxation process during which the fluctuational energy in the flow field decays and the spatial gradients of the flow field decrease in time. This late stage of Richtmyer-Meshkov mixing layers is studied from the viewpoint of self-similarity. Analogies with weakly anisotropic turbulence suggest that both the bubble-side and spike-side widths of the mixing layer should evolve as power-laws in time, with the same power-law exponents and virtual time origin for both ... continued below

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Zhou, Y & Clark, T January 13, 2004.

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The Richtmyer-Meshkov mixing layer is initiated by the passing of a shock over an interface between fluid of differing densities. The energy deposited during the shock passage undergoes a relaxation process during which the fluctuational energy in the flow field decays and the spatial gradients of the flow field decrease in time. This late stage of Richtmyer-Meshkov mixing layers is studied from the viewpoint of self-similarity. Analogies with weakly anisotropic turbulence suggest that both the bubble-side and spike-side widths of the mixing layer should evolve as power-laws in time, with the same power-law exponents and virtual time origin for both sides. The analogy also bounds the power-law exponent between 2/7 and 2/5. It is then shown that the assumption of identical power-law exponents for bubbles and spikes yields that are in good agreement with experiment at modest density ratios.

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PDF-file: 27 pages; size: 1.5 Mbytes

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  • Journal Name: Journal of Applied Mechanics, vol. 73, n/a, May 1, 2006, pp. 461; Journal Volume: 73

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  • Report No.: UCRL-JRNL-201962
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 1016935
  • Archival Resource Key: ark:/67531/metadc830409

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  • January 13, 2004

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  • May 19, 2016, 3:16 p.m.

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  • Nov. 28, 2016, 7:30 p.m.

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Zhou, Y & Clark, T. Growth rate exponents of Richtmyer-Meshkov mixing layers, article, January 13, 2004; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc830409/: accessed September 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.