Integral constraints in the study of Richtmyer-Meshkov turbulent mixing

Likhachev, Oleg A.; Tsiklashvili, Vladimer

doi:10.1063/1.4896554

Integral constraints in the study of Richtmyer-Meshkov turbulent mixing

Journal Article · Wed Oct 01 00:00:00 EDT 2014 · Physics of Fluids

DOI:https://doi.org/10.1063/1.4896554· OSTI ID:1618145

Likhachev, Oleg A.; Tsiklashvili, Vladimer

An experimental study of the temporal evolution of the shock-induced Richtmyer-Meshkov instability in the turbulent regime with three-dimensional random interfacial perturbations is carried out. The primary interest is the growth rate of the turbulent mixing layer that develops after an impulsive acceleration of the perturbed interface between two gases (air/SF6) by a weak Ma = 1.2 incident shock wave. Planar Mie scattering is used to visualize the flow, and image sequences are captured using a high-speed video camera. The analysis of the total mixing width has been extended to study the growth behaviors of the bubbles and spikes, separately. A novel definition of the bubble and spike widths is introduced using the mass and linear momentum conservation laws. For the planar incident shock wave the newly defined bubble and spike widths increase in time as hb.s ∝ tθ, with a growth exponent θ = 1/2 that does not depend on either the initial conditions or the physical properties of the gases composing the interface.

View Accepted Manuscript (Publisher)

Sponsoring Organization:: USDOE

OSTI ID:: 1618145

Journal Information:: Physics of Fluids, Journal Name: Physics of Fluids Journal Issue: 10 Vol. 26; ISSN 1070-6631

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

References (22)

Taylor instability in shock acceleration of compressible fluids Richtmyer, Robert D. Communications on Pure and Applied Mathematics, Vol. 13, Issue 2 https://doi.org/10.1002/cpa.3160130207	journal	May 1960
Experiments on the Richtmyer–Meshkov instability with an imposed, random initial perturbation Jacobs, J. W.; Krivets, V. V.; Tsiklashvili, V. Shock Waves, Vol. 23, Issue 4 https://doi.org/10.1007/s00193-013-0436-9	journal	March 2013
Turbulent mixing generated by Rayleigh-Taylor and Richtmyer-Meshkov instabilities Mikaelian, Karnig O. Physica D: Nonlinear Phenomena, Vol. 36, Issue 3 https://doi.org/10.1016/0167-2789(89)90089-4	journal	August 1989
The influence of initial conditions on turbulent mixing due to Richtmyer–Meshkov instability Thornber, B.; Drikakis, D.; Youngs, D. L. Journal of Fluid Mechanics, Vol. 654 https://doi.org/10.1017/S0022112010000492	journal	May 2010
Experiments on the Richtmyer–Meshkov instability: single-scale perturbations on a continuous interface Brouillette, M.; Sturtevant, B. Journal of Fluid Mechanics, Vol. 263 https://doi.org/10.1017/S0022112094004118	journal	March 1994
Growth rate of a shocked mixing layer with known initial perturbations Weber, Christopher R.; Cook, Andrew W.; Bonazza, Riccardo Journal of Fluid Mechanics, Vol. 725 https://doi.org/10.1017/jfm.2013.216	journal	May 2013
Experiments on the three-dimensional incompressible Richtmyer-Meshkov instability Chapman, P. R.; Jacobs, J. W. Physics of Fluids, Vol. 18, Issue 7 https://doi.org/10.1063/1.2214647	journal	July 2006
Shock tube experiments and numerical simulation of the single-mode, three-dimensional Richtmyer–Meshkov instability Long, C. C.; Krivets, V. V.; Greenough, J. A. Physics of Fluids, Vol. 21, Issue 11 https://doi.org/10.1063/1.3263705	journal	November 2009
The bipolar behavior of the Richtmyer–Meshkov instability Gowardhan, Akshay A.; Ristorcelli, J. Ray; Grinstein, Fernando F. Physics of Fluids, Vol. 23, Issue 7 https://doi.org/10.1063/1.3610959	journal	July 2011
Turbulent mixing measurements in the Richtmyer-Meshkov instability Weber, Christopher; Haehn, Nicholas; Oakley, Jason Physics of Fluids, Vol. 24, Issue 7 https://doi.org/10.1063/1.4733447	journal	July 2012
Two classes of Richtmyer-Meshkov instabilities: A detailed statistical look Ristorcelli, J. R.; Gowardhan, A. A.; Grinstein, F. F. Physics of Fluids, Vol. 25, Issue 4 https://doi.org/10.1063/1.4802039	journal	April 2013
Numerical simulation of Richtmyer–Meshkov instabilities Cloutman, L. D.; Wehner, M. F. Physics of Fluids A: Fluid Dynamics, Vol. 4, Issue 8 https://doi.org/10.1063/1.858403	journal	August 1992
Experimental study of incompressible Richtmyer–Meshkov instability Jacobs, J. W.; Sheeley, J. M. Physics of Fluids, Vol. 8, Issue 2 https://doi.org/10.1063/1.868794	journal	February 1996
Experimental investigation of Richtmyer–Meshkov instability in shock tube Houas, L.; Chemouni, I. Physics of Fluids, Vol. 8, Issue 2 https://doi.org/10.1063/1.868845	journal	February 1996
A membraneless experiment for the study of Richtmyer–Meshkov instability of a shock-accelerated gas interface Jones, M. A.; Jacobs, J. W. Physics of Fluids, Vol. 9, Issue 10 https://doi.org/10.1063/1.869416	journal	October 1997
Experimental observations of the mixing transition in a shock-accelerated gas curtain Rightley, P. M.; Vorobieff, P.; Martin, R. Physics of Fluids, Vol. 11, Issue 1 https://doi.org/10.1063/1.869911	journal	January 1999
Turbulent Richtmyer–Meshkov instability experiments with strong radiatively driven shocks Dimonte, Guy; Schneider, Marilyn Physics of Plasmas, Vol. 4, Issue 12 https://doi.org/10.1063/1.872597	journal	December 1997
Progress toward Ignition and Burn Propagation in Inertial Confinement Fusion Lindl, John D.; McCrory, Robert L.; Campbell, E. Michael Physics Today, Vol. 45, Issue 9 https://doi.org/10.1063/1.881318	journal	September 1992
Large-eddy simulation of pulsed high-speed subsonic jets in a turbulent crossflow Srinivasan, Srikant; Pasumarti, Ramya; Menon, Suresh Journal of Turbulence, Vol. 13 https://doi.org/10.1080/14685248.2011.633522	journal	December 2011
Richtmyer-Meshkov experiments on the Nova laser at high compression Dimonte, Guy; Remington, Bruce Physical Review Letters, Vol. 70, Issue 12 https://doi.org/10.1103/PhysRevLett.70.1806	journal	March 1993
Supernova 1987A Arnett, W. David; Bahcall, John N.; Kirshner, Robert P. Annual Review of Astronomy and Astrophysics, Vol. 27, Issue 1 https://doi.org/10.1146/annurev.aa.27.090189.003213	journal	September 1989
Applications of shock-induced mixing to supersonic combustion Yang, Joseph; Kubota, Toshi; Zukoski, Edward E. AIAA Journal, Vol. 31, Issue 5 https://doi.org/10.2514/3.11696	journal	May 1993

Similar Records

Experiments on the Richtmyer–Meshkov instability with an imposed, random initial perturbation

Journal Article · Fri Mar 15 20:00:00 EDT 2013 · Shock Waves · OSTI ID:1436485

Growth rate exponents of Richtmyer-Meshkov mixing layers

Journal Article · Mon Jan 12 23:00:00 EST 2004 · Journal of Applied Mechanics, vol. 73, n/a, May 1, 2006, pp. 461 · OSTI ID:1016935

Richtmyer-Meshkov instability in the turbulent regime

Journal Article · Mon Jun 12 00:00:00 EDT 1995 · Physical Review Letters · OSTI ID:69303

Integral constraints in the study of Richtmyer-Meshkov turbulent mixing

Citation Formats

References (22)

Similar Records

Related Subjects