Extended model for Richtmyer-Meshkov mix [electronic resource].
- Published
- Washington, D.C. : United States. Dept. of Energy, 2009.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy. - Physical Description
- PDF-file: 28 pages; size: 1.1 Mbytes
- Additional Creators
- Lawrence Berkeley National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
Access Online
- Restrictions on Access
- Free-to-read Unrestricted online access
- Summary
- We examine four Richtmyer-Meshkov (RM) experiments on shock-generated turbulent mix and find them to be in good agreement with our earlier simple model in which the growth rate h of the mixing layer following a shock or reshock is constant and given by 2αAΔv, independent of initial conditions h₀. Here A is the Atwood number (ρ{sub B}-ρ{sub A})/(ρ{sub B} + ρ{sub A}), ρ{sub A,B} are the densities of the two fluids, ΔV is the jump in velocity induced by the shock or reshock, and α is the constant measured in Rayleigh-Taylor (RT) experiments: α{sup bubble} ≈ 0.05-0.07, α{sup spike} ≈ (1.8-2.5)α{sup bubble} for A ≈ 0.7-1.0. In the extended model the growth rate beings to day after a time t*, when h = h*, slowing down from h = h₀ + 2αAΔvt to h ≈ t{sup θ} behavior, with θ{sup bubble} ≈ 0.25 and θ{sup spike} ≈ 0.36 for A ≈ 0.7. They ascribe this change-over to loss of memory of the direction of the shock or reshock, signaling transition from highly directional to isotropic turbulence. In the simplest extension of the model h*/h₀ is independent of Δv and depends only on A. They find that h*/h₀ ≈ 2.5-3.5 for A ≈ 0.7-1.0.
- Report Numbers
- E 1.99:llnl-jrnl-420428
llnl-jrnl-420428 - Subject(s)
- Other Subject(s)
- Note
- Published through SciTech Connect.
11/18/2009.
"llnl-jrnl-420428"
Physica D , vol. 240, no. 11, February 24, 2011, pp. 935-942 240 11 FT
Mikaelian, K O. - Funding Information
- W-7405-ENG-48
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