Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities

This Introduction summarizes and provides a perspective on the papers representing one of the key themes of the ‘Turbulent mixing and beyond’ programme—the hydrodynamic instabilities of the Rayleigh–Taylor (RT) and Richtmyer–Meshkov (RM) type and their applications in nature and technology. The collection is intended to present the reader a balanced overview of the theoretical, experimental and numerical studies of the subject and to assess what is firm in our knowledge of the RT and RM turbulent mixing.

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Studies in the nonlinear evolution of the Rayleigh–Taylor and Richtmyer–Meshkov instabilities and their role in inertial confinement fusion

Laser and Particle Beams ◽

10.1017/s0263034699173142 ◽

1999 ◽

Vol 17 (3) ◽

pp. 465-475 ◽

Cited By ~ 6

Author(s):

D. ORON ◽

O. SADOT ◽

Y. SREBRO ◽

A. RIKANATI ◽

Y. YEDVAB ◽

...

Keyword(s):

Turbulent Mixing ◽

Inertial Confinement Fusion ◽

Random Perturbation ◽

Fusion Energy ◽

Inertial Confinement ◽

Hydrodynamic Instabilities ◽

Power Laser ◽

Mechanics Model ◽

Confinement Fusion ◽

Laser Systems

Hydrodynamic instabilities, such as the Rayleigh–Taylor and Richtmyer–Meshkov instabilities, play a central role when trying to achieve net thermonuclear fusion energy via the method of inertial confinement fusion (ICF). The development of hydrodynamic instabilities on both sides of the compressed shell may cause shell breakup and ignition failure. A newly developed statistical mechanics model describing the evolution of the turbulent mixing zone from an initial random perturbation is presented. The model will be shown to compare very well both with full numerical simulations and with experiments, performed using high power laser systems, and using shock tubes. Applying the model to typical ICF implosion conditions, an estimation of the maximum allowed target, in-flight aspect ratio as a function of equivalent surface roughness, will be derived.

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Computational and experimental studies of hydrodynamic instabilities and turbulent mixing: Review of VNIIEF efforts. Summary report

10.2172/80367 ◽

1994 ◽

Author(s):

V.A. Andronov ◽

I.G. Zhidov ◽

E.E. Meskov ◽

N.V. Nevmerzhitskii ◽

V.V. Nikiforov ◽

...

Keyword(s):

Turbulent Mixing ◽

Experimental Studies ◽

Hydrodynamic Instabilities ◽

Summary Report

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Understanding the structure of the turbulent mixing layer in hydrodynamic instabilities

Journal of Physics Conference Series ◽

10.1088/1742-6596/46/1/077 ◽

2006 ◽

Vol 46 ◽

pp. 556-560

Author(s):

P-T Bremer ◽

W Cabot ◽

A Cook ◽

D Laney ◽

A Mascarenhas ◽

...

Keyword(s):

Turbulent Mixing ◽

Mixing Layer ◽

Hydrodynamic Instabilities ◽

Turbulent Mixing Layer

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Some peculiarities of turbulent mixing growth and perturbations at hydrodynamic instabilities

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2012.0291 ◽

2013 ◽

Vol 371 (2003) ◽

pp. 20120291 ◽

Cited By ~ 4

Author(s):

N. V. Nevmerzhitskiy

Keyword(s):

Shock Wave ◽

Reynolds Number ◽

Mach Number ◽

Turbulent Mixing ◽

Large Scale ◽

Hydrodynamic Instabilities ◽

Mixing Zone ◽

Gaseous Media ◽

Experimental Works ◽

Atwood Number

The author presents a review of some experimental works devoted to the research of evolution of large-scale perturbations and turbulent mixing (TM) in liquid and gaseous media during the growth of hydrodynamic instabilities. In particular, it is shown that growth of perturbations and TM in gases is sensitive to the Mach number of shock wave; character of gas front penetration into liquid is not changed as the Reynolds number of flow increases from 5×10 5 to 10 7 ; and change of the Atwood number sign from positive to negative causes stopping of gas front penetration into liquid, but mixing zone width is expanded under inertia.

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