skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Extended model for Richtmyer-Meshkov mix

Journal Article · · Physica D , vol. 240, no. 11, February 24, 2011, pp. 935-942
OSTI ID:1020330

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 2{alpha}A{Delta}v, independent of initial conditions h{sub 0}. Here A is the Atwood number ({rho}{sub B}-{rho}{sub A})/({rho}{sub B} + {rho}{sub A}), {rho}{sub A,B} are the densities of the two fluids, {Delta}V is the jump in velocity induced by the shock or reshock, and {alpha} is the constant measured in Rayleigh-Taylor (RT) experiments: {alpha}{sup bubble} {approx} 0.05-0.07, {alpha}{sup spike} {approx} (1.8-2.5){alpha}{sup bubble} for A {approx} 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 = h{sub 0} + 2{alpha}A{Delta}vt to h {approx} t{sup {theta}} behavior, with {theta}{sup bubble} {approx} 0.25 and {theta}{sup spike} {approx} 0.36 for A {approx} 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*/h{sub 0} is independent of {Delta}v and depends only on A. They find that h*/h{sub 0} {approx} 2.5-3.5 for A {approx} 0.7-1.0.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
1020330
Report Number(s):
LLNL-JRNL-420428; TRN: US201116%%263
Journal Information:
Physica D , vol. 240, no. 11, February 24, 2011, pp. 935-942, Vol. 240, Issue 11
Country of Publication:
United States
Language:
English

Similar Records

Power Laws and Similarity of Rayleigh-Taylor and Richtmyer-Meshkov Mixing Fronts at All Density Ratios
Journal Article · Mon Jan 23 00:00:00 EST 1995 · Physical Review Letters; (United States) · OSTI ID:1020330

On modeling Richtmyer–Meshkov turbulent mixing widths
Journal Article · Mon Oct 28 00:00:00 EDT 2019 · Physica. D, Nonlinear Phenomena · OSTI ID:1020330

Multicomponent Reynolds-averaged Navier-Stokes simulations of reshocked Richtmyer-Meshkov instability-induced mixing
Journal Article · Wed Dec 05 00:00:00 EST 2012 · High Energy Density Physics · OSTI ID:1020330