Richtmyer-Meshkov instability

Richtmyer-Meshkov instability

The Richtmyer-Meshkov instability (RMI) occurs when an interface between fluids of differing density is impulsively accelerated, e.g. by the passage of a shock wave. The development of the instability begins with small amplitude perturbations which initially grow linearly with time. This is followed by a nonlinear regime with bubbles appearing in the case of a light fluid penetrating a heavy fluid, and with spikes appearing in the case of a heavy fluid penetrating a light fluid. A chaotic regime eventually is reached and the two fluids mix.

During the implosion of an inertial confinement fusion target, the hot shell material surrounding the cold D-T fuel layer is shock-accelerated. Mixing of the shell material and fuel is not desired and efforts are made to minimize any tiny imperfections or irregularities which will be magnified by RMI.

At an entirely different scale, stellar core materials (e.g. Cobalt-56) from Supernova 1987A were observed earlier than expected, giving evidence of turbulent mixing due to Richtmyer-Meshkov and Rayleigh–Taylor instabilities.

Between these two extremes, supersonic combustion in a Scramjet may benefit from RMI as the fuel-oxidants interface is enhanced by the breakup of the fuel into finer droplets.

The study of deflagration to detonation transition (DDT) processes show that RMI-induced spontaneous flame acceleration can result in detonation.

RMI can be considered the impulsive-acceleration limit of the Rayleigh–Taylor instability.

R. D. Richtmyer provided a theoretical prediction in "Taylor instability in a shock acceleration of compressible fluids", "Communications on Pure and Applied Mathematics" 13, 297-319 (1960).

E. E. Meshkov (Евгений Евграфович Мешков) provided experimental verification in "Instability of the Interface of Two Gases Accelerated by a Shock Wave" , "Soviet Fluid Dynamics" 4 ,101-104 (1969).

References

* [http://www.caip.rutgers.edu/~jaray/RMI.html Richtmyer-Meshkov instabilities]
* [http://www.me.unm.edu/~aiaa/RM.pdf Two-dimensional simulation of Richtmyer-Meshkov Instability]
* [http://silver.neep.wisc.edu/~shock/rmintro.html Wisconsin Shock Tube Laboratory]
* [http://ctr.stanford.edu/ResBriefs03/abarzhi1.pdf New type of interface evolution in the Richtmyer-Meshkov instability]
* [http://www.iaea.org/programmes/ripc/physics/pdf/ov3_1.pdf Recent Advances in Inderect Drive ICF Target Physics at LLNL]
* [http://www.llnl.gov/casc/calendar/nikiforakis.072904.html Emergence of Detonation in the Flowfield Induced by Richtmyer-Meshkov Instability]
* [http://www.td.mw.tum.de/tum-td/de/forschung/pub/CD_Mayinger/339.pdf Propagation of Fast Deflagrations and Marginal Detonations in Hydrogen-Air Mixtures]

ee also

*Rayleigh–Taylor instability
*Kelvin-Helmholtz instability
*Hydrodynamics

External links

* [http://cnls.lanl.gov/~azathoth/cover.html Mushroom+Snakes: a visualization of Richtmyer-Meshkov instability]
* [http://www.mth.msu.edu/~wei/RMI.html Conjugate Filter OscillationReduction (CFOR) scheme for the 2D Richtmyer-Meshkov instability]
* [http://web.arizona.edu/~fluidlab/ Experiments on the Richtmyer-Meshkov instability at the University of Arizona]


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать курсовую

Look at other dictionaries:

  • Instabilité de Richtmyer-Meshkov — L instabilité de Richtmyer Meshkov (IRM) se produit quand une interface entre fluides de densités différentes est accélérée par une impulsion, par exemple par le passage d une onde de choc. Le développement de l instabilité commence par des… …   Wikipédia en Français

  • Instability — [ Hydrodynamics simulation of the Rayleigh–Taylor instability [Shengtai Li, Hui Li Parallel AMR Code for Compressible MHD or HD Equations (Los Alamos National Laboratory) [http://math.lanl.gov/Research/Highlights/amrmhd.shtml] ] ] Instability in… …   Wikipedia

  • Richtmyer — Robert Davis Richtmyer (* 1910) ist ein US amerikanischer Physiker und angewandter Mathematiker, der sich u.a. mit der Numerik von Differentialgleichungen und Hydrodynamik beschäftigt. Richtmyer wurde 1935 am Massachusetts Institute of Technology …   Deutsch Wikipedia

  • Rayleigh–Taylor instability — The Rayleigh–Taylor instability, or RT instability (after Lord Rayleigh and G. I. Taylor), is an instability of an interface between two fluids of different densities, which occurs when the lighter fluid is pushing the heavier fluid. [citation… …   Wikipedia

  • Kelvin–Helmholtz instability — Numerical simulation of a temporal Kelvin–Helmholtz instability The Kelvin–Helmholtz instability, after Lord Kelvin and Hermann von Helmholtz, can occur when velocity shear is present within a continuous fluid, or when there is sufficient… …   Wikipedia

  • Robert Richtmyer — Robert Davis Richtmyer (* 10. Oktober 1910 in Ithaca, NY; † 24. September 2003 in Gardner, Colorado) war ein US amerikanischer Physiker und angewandter Mathematiker, der sich u.a. mit der Numerik von Differentialgleichungen und Hydrodynamik… …   Deutsch Wikipedia

  • Atwood number — The Atwood number is a dimensionless number in fluid dynamics used in the study of hydrodynamic instabilities in density stratified flows. It is a dimensionless density ratio defined as: A = frac{ ho 1 ho 2} { ho 1 + ho 2} where: ho 1 = density… …   Wikipedia

  • Instabilité de Rayleigh-Taylor — Manifestation de l instabilité de Rayleigh–Taylor dans la nébuleuse du Crabe. L’instabilité de Rayleigh–Taylor, nommée en hommage aux physiciens britanniques Lord Rayleigh et G. I. Taylor, est une instabilité de l’interface séparant deux fluides… …   Wikipédia en Français

  • Instabilité de Rayleigh–Taylor — Instabilité de Rayleigh Taylor Manifestation de l instabilité de Rayleigh–Taylor dans la nébuleuse du Crabe. L’instabilité de Rayleigh–Taylor, nommée en hommage aux physiciens britanniques Lord Rayleigh et G. I. Taylor, est une instabilité de… …   Wikipédia en Français

  • Неустойчивость Рихтмайера — Мешкова — Неустойчивость Рихтмайера  Мешкова  возникает между двумя контактирующими сплошными средами различной плотности, когда поверхность раздела испытывает ускорение, например при прохождении ударной волны. Развитие нестабильности начинается… …   Википедия

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”