0
TECHNICAL PAPERS

Growth Rate Exponents of Richtmyer-Meshkov Mixing Layers

[+] Author and Article Information
Timothy T. Clark

 Los Alamos National Laboratory, Los Alamos, NM 87545

Ye Zhou

 Lawrence Livermore National Laboratory, Livermore, CA 94551

J. Appl. Mech 73(3), 461-468 (Nov 06, 2005) (8 pages) doi:10.1115/1.2164510 History: Received July 29, 2004; Revised November 06, 2005

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 exponent and virtual time origin for both sides. The analogy also bounds the power-law exponent between 27 and 12. It is then shown that the assumption of identical power-law exponents for bubbles and spikes yields fits that are in good agreement with experiment at modest density ratios.

FIGURES IN THIS ARTICLE
<>
Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Virtual time-origins and errors in fits for bubbles, spikes and widths as a function of the exponent, θ, for experiments 60627-02 and 60627-04, combined. Atwood Number=0.22.

Grahic Jump Location
Figure 2

Virtual time-origins and errors in fits for bubbles, spikes and widths as a function of the exponent, θ, for experiments 60627-09 and 60627-10, combined. Atwood Number=0.48.

Grahic Jump Location
Figure 3

Experimental data and fits for bubbles and spikes based on minimizing rms error of fit, for experiments 60627-02 and 60627-04, combined. Atwood Number=0.22. Data for fits based on exponents and time origins from bubble data, e(θ=0.466, t0=7.278); spike data (θ=0.293, t0=−11.974); and width data ((θ=0.286, t0=−9.340).

Grahic Jump Location
Figure 4

Experimental data and fits for layer widths based on minimizing rms error of fit, for experiments 60627-02 and 60627-04, combined. Atwood Number=0.22. Data for fits based on exponents and time origins from bubble data, (θ=0.466, t0=7.278); spike data (θ=0.293, t0=−11.974); and width data (θ=0.286, t0=−9.340).

Grahic Jump Location
Figure 6

Experimental data and fits for layer widths based on minimizing rms error of fit, for experiments 60627-08 and 60627-10, combined. Atwood Number=0.48. Data for fits based on exponents and time origins from bubble data, (θ=0.286, t0=−10.848); spike data (θ=0.286, t0=−5.968); and width data (θ=0.286, t0=−8.569).

Grahic Jump Location
Figure 5

Experimental data and fits for bubbles and spikes based on minimizing rms error of fit, for experiments 60627-08 and 60627-10, combined. Atwood Number=0.48. Data for fits based on exponents and time origins from bubble data, (θ=0.286, t0=−10.848); spike data (θ=0.286, t0=−5.968); and width data (θ=0.286, t0=−8.569).

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In