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Author :
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ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (717 download)
Download or read book Königsberg in der Naturforschung und Medizin written by and published by . This book was released on 1910 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Investigation of the Rayleigh-Taylor and Richtmyer-Meshkov Instabilities written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The present research program is centered on the experimental and numerical study of two instabilities that develop at the interface between two different fluids when the interface experiences an impulsive or a constant acceleration. The instabilities, called the Richtmyer-Meshkov and Rayleigh-Taylor instability, respectively, adversely affect target implosion in experiments aimed at the achievement of nuclear fusion by inertial confinement by causing the nuclear fuel contained in a target and the shell material to mix, leading to contamination of the fuel, yield reduction or no ignition at all. The laboratory experiments summarized in this report include shock tube experiments to study a shock-accelerated bubble and a shock-accelerated 2-D sinusoidal interface; and experiments based on the use of magnetorheological fluids for the study of the Rayleigh-Taylor instability. Computational experiments based on the shock tube experimental conditions are also reported.
Download or read book Investigations of the Rayleigh-Taylor and Richtmyer-Meshkov Instabilities written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The present program is centered on the experimental study of shock-induced interfacial fluid instabilities. Both 2-D (near-sinusoids) and 3-D (spheres) initial conditions are studied in a large, vertical square shock tube facility. The evolution of the interface shape, its distortion, the modal growth rates and the mixing of the fluids at the interface are all objectives of the investigation. In parallel to the experiments, calculations are performed using the Raptor code, on platforms made available by LLNL. These flows are of great relevance to both ICF and stockpile stewardship. The involvement of four graduate students is in line with the national laboratories' interest in the education of scientists and engineers in disciplines and technologies consistent with the labs' missions and activities.
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ISBN 13 :
Total Pages : 477 pages
Book Rating : 4.:/5 (61 download)
Download or read book Drugi kongres KPJ written by and published by . This book was released on 1972 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leslie Smith
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (316 download)
Download or read book Investigation of the Rayleigh-Taylor and Richtmyer-Meshkov Instabilities written by Leslie Smith and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the major difficulties encountered in the effort to achieve nuclear fusion by means of inertial confinement arise from the unstable behavior of the interface between the shellmaterial and the nuclear fuel which develops upon implosion of the shell by direct or indirectlaser drive. The fluid flows that develop (termed the Rayleigh-Taylor (RT) and the Richtmyer-Meshkov (RM) instabilities) cause the gassified shell material to mix with the nuclear fuel, causing a reduction in energy yield or no ignition altogether. The present research program addresses the Rayleigh-Taylor and the Richtmyer-Meshkov instabilitieswith extensive laboratory and computational experiments. In the past year, three new activitieshave been initiated: a new shock tube experiment, involving the impulsive acceleration ofa test gas-filled soap bubble, diagnosed with planar Mie scattering or planar induced fluorescence;a Rayleigh-Taylor experiment based on the use of a magnetorheological (MR) fluid to fix the initialshape of the interface between the MR fluid and water; and a series of computer calculations usingthe Raptor code (made available by Lawrence Livermore National Laboratory) to design and simulate the shock tube experiments.
Author : Alexander W. Bates
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (89 download)
Download or read book Richtmyer-Meshkov Instability written by Alexander W. Bates and published by . This book was released on 2003 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jeffrey Jacobs (W.)
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (316 download)
Download or read book An Experimental Study of the Turbulent Development of Rayleigh-Taylor and Richtmyer-Meshkov Instabilities written by Jeffrey Jacobs (W.) and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this three-year research program is to study the development of turbulence in Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities. Incompressible RT and RM instabilities are studied in an apparatus in which a box containing two unequal density liquids is accelerated on a linear rail system either impulsively (by bouncing it off of a spring) to produce RM instability, or at a constant downward rate (using a weight and pulley system) to produce RT instability. These experiments are distinguished from others in the field in that they are initialized with well defined, measurable initial perturbations and are well visualized utilizing planar laser induced fluorescence imaging. New experiments are proposed aimed at generating fully turbulent RM and RT instabilities and quantifying the turbulent development once fully turbulent flows are achieved. The proposed experiments focus on the development and the subsequent application of techniques to accelerate the production of fully turbulent instabilities and the quantification of the turbulent instabilities once they are achieved. The proposed tasks include: the development of RM and RT experiments utilizing fluid combinations having larger density ratios than those previously used; the development of RM experiments with larger acceleration impulse than that previously used; and the investigation of the multi-mode and three-dimensional instabilities by the development of new techniques for generating short wavelength initial perturbations. Progress towards fulfilling these goals is currently well on track. Recent results have been obtained on experiments that utilize Faraday resonance for the production of a nearly single-mode three-dimensional perturbation with a short enough wavelength to yield a self-similar instability at late-times. Last year we reported that we can reliably generate Faraday internal waves on the interface in our experimental apparatus by oscillating the tank containing the two fluids in the vertical direction at the proper frequency. This past year we have completed experiments that demonstrate that self similarity is achieved in these experiments utilizing this perturbation. Also, last year we reported preliminary experiments utilizing a new miscible fluid combination, consisting of a new very heavy salt solution and water, that has an Atwood number of approximately 0.5. This past year we have completed experiments showing that this fluid combination is capable of generating a self-similar RT growth when initiated with a planar interface.
Author : Ye Zhou
Publisher : Cambridge University Press
ISBN 13 : 1108489648
Total Pages : 611 pages
Book Rating : 4.1/5 (84 download)
Download or read book Hydrodynamic Instabilities and Turbulence written by Ye Zhou and published by Cambridge University Press. This book was released on 2024-05-31 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive reference guide to turbulent mixing driven by Rayleigh-Taylor, Richtmyer-Meshkov and Kelvin-Helmholtz instabilities.
Author : Bhalchandra Puranik
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (89 download)
Download or read book An Experimental Investigation of Shock-induced Interfacial Instabilities written by Bhalchandra Puranik and published by . This book was released on 2000 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Direct Simulation Monte Carlo Investigation of the Richtmyer-Meshkov Instability written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Rayleigh-Taylor instability (RTI) is investigated using the Direct Simulation Monte Carlo (DSMC) method of molecular gas dynamics. Here, fully resolved two-dimensional DSMC RTI simulations are performed to quantify the growth of flat and single-mode perturbed interfaces between two atmospheric-pressure monatomic gases as a function of the Atwood number and the gravitational acceleration. The DSMC simulations reproduce all qualitative features of the RTI and are in reasonable quantitative agreement with existing theoretical and empirical models in the linear, nonlinear, and self-similar regimes. At late times, the instability is seen to exhibit a self-similar behavior, in agreement with experimental observations. For the conditions simulated, diffusion can influence the initial instability growth significantly.
Author : Jan de Gier
Publisher : Springer Nature
ISBN 13 : 3030624978
Total Pages : 798 pages
Book Rating : 4.0/5 (36 download)
Download or read book 2019-20 MATRIX Annals written by Jan de Gier and published by Springer Nature. This book was released on 2021-02-10 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions · Australian-German Workshop on Differential Geometry in the Large · Aperiodic Order meets Number Theory · Ergodic Theory, Diophantine Approximation and Related Topics · Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases · International Workshop on Spatial Statistics · Mathematics of Physiological Rhythms · Conservation Laws, Interfaces and Mixing · Structural Graph Theory Downunder · Tropical Geometry and Mirror Symmetry · Early Career Researchers Workshop on Geometric Analysis and PDEs · Harmonic Analysis and Dispersive PDEs: Problems and Progress The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
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ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (727 download)
Download or read book Rayleigh-Taylor Instability in Compressible Fluids written by and published by . This book was released on 1990 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a report of the progress during the past year of the shock-tube study of the Richtmyer-Meshkov instability, initiated under the sponsorship of the Lawrence Livermore National Laboratory in September, 1982. The purpose of this research program, as stated in the original proposal, is: to investigate the nonlinear processes initiated by shock wave interaction with gas-gas interfaces. In particular, the nonlinear stage of shock-initiated Rayleigh-Taylor instability, the secondary instabilities (e.g., Kelvin-Helmholtz instability) arising therefrom and the concomitant mixing of the two fluids are of interest.''
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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (227 download)
Download or read book A Study of Chaos and Mixing in Rayleigh-Taylor and Richtmyer-Meshkov Unstable Interfaces written by and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities of fluid interfaces give rise to entrainment and to a chaotic mixing layer. This report has three purposes. The authors discuss the general features of such chaotic mixing layers, formulate a scientific program for their study and report on their recent progress in carrying out portions of this program. The Rayleigh-Taylor instability is driven by an inertial or gravitational force accelerating an interface between fluids of differing densities. Thus with the heavy fluid above the lighter fluid a flat (horizontal) interface in a gravitational field is in a position of unstable equilibrium. Small disturbances grow, producing bubbles of light fluid rising in the heavy fluid and spikes - or droplets of heavy fluid falling in the light fluid. The Richtmyer-Meshkov instability is produced by a shock wave hiring an interface (a contact discontinuity or material boundary) separating fluids of differing densities. Assuming a planar shock wave normally incident on an interface slightly perturbed from planar, the initial disturbances in the interface are again unstable, and grow with time.
Author : Christopher L. Gardner
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (227 download)
Download or read book A Study of Chaos and Mixing in Rayleigh-Taylor and Richtmyer-Meshkov Unstable Interfaces written by Christopher L. Gardner and published by . This book was released on 1987 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities of fluid interfaces give rise to entrainment and to a chaotic mixing layer. This report has three purposes. The authors discuss the general features of such chaotic mixing layers, formulate a scientific program for their study and report on their recent progress in carrying out portions of this program. The Rayleigh-Taylor instability is driven by an inertial or gravitational force accelerating an interface between fluids of differing densities. Thus with the heavy fluid above the lighter fluid a flat (horizontal) interface in a gravitational field is in a position of unstable equilibrium. Small disturbances grow, producing bubbles of light fluid rising in the heavy fluid and spikes - or droplets of heavy fluid falling in the light fluid. The Richtmyer-Meshkov instability is produced by a shock wave hiring an interface (a contact discontinuity or material boundary) separating fluids of differing densities. Assuming a planar shock wave normally incident on an interface slightly perturbed from planar, the initial disturbances in the interface are again unstable, and grow with time.
Author :
Publisher :
ISBN 13 :
Total Pages : 57 pages
Book Rating : 4.:/5 (16 download)
Download or read book Rayleigh-Taylor and Richtmyer-Meshkov Instabilities and Mixing in Stratified Cylindrical Shells written by and published by . This book was released on 2004 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the linear stability of an arbitrary number N of cylindrical concentric shells undergoing a radial implosion or explosion. We derive the evolution equation for the perturbation?{sub i} at interface i; it is coupled to the two adjacent interfaces via?{sub i{+-}1}. For N=2, where there is only one interface, we verify Bell's conjecture as to the form of the evolution equation for arbitrary?1 and?2, the fluid densities on either side of the interface. We obtain several analytic solutions for the N=2 and 3 cases. We discuss freeze-out, a phenomenon that can occur in all three geometries (planar, cylindrical, or spherical), and ''critical modes'' that are stable for any implosion or explosion history and occur only in cylindrical or spherical geometries. We present numerical simulations of possible gelatin-ring experiments illustrating perturbation feedthrough from one interface to another. We also develop a simple model for the evolution of turbulent mix in cylindrical geometry and define a geometrical factor G as the ratio h{sub cylindrical}/h{sub planar} between cylindrical and planar mixing layers. We find that G is a decreasing function of R/R{sub o}, implying that in our model h{sub cylindrical} evolves faster (slower) than h{sub planar} during an implosion (explosion).
Author :
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ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (727 download)
Download or read book Shock-interface Interaction written by and published by . This book was released on 1991 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basis for the study of the evolution of a shocked interface stems from the question of the Rayleigh-Taylor (RT) instability (Taylor 1950). Starting in the late 18th century, the stability of an interface submitted to gravitational forces was investigated for the case in which the density of one of the materials across the interface was negligible compared to the other. Taylor analyzed the case in which the Atwood number (ratio of the difference of the densities to their sum) is less than 1, and the acceleration of the system is constant. He determined that the interface was unstable to small perturbations only if the direction of the acceleration normal to the interface coincides with that of the density gradient. Richtmyer (1960) extended Taylor's analysis to the case of an implusive acceleration. His results implied that the interface would be unstable irrespective of the relative orientation of the velocity impulse and the density gradient. His predictions were verified experimentally by Meshkov (1969), and the Richtmyer-Meshkov (RM) instability became a subject of research in its own right. Experimental, numerical, and theoretical works address this problem. The RM problem has been studied with both the shock-tube and laser experiments. In this paper, only shock-tube work is considered. 48 refs., 6 figs.
Author : Tommaso Oggian
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (835 download)
Download or read book Low-mach Number Effects and Late-time Treatment of Richtmyer-Meshkov and Rayleigh-Taylor Instabilities written by Tommaso Oggian and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Richtmyer-Meshkov instability appears when the mixing between two fluids is triggered by the passage of a shock wave. It occurs in a range of different applications, such as astrophysics, inertial confinement fusion and supersonic combustion. Due to the extreme complexity of this phenomenon to be reproduced in a controlled environment, its study heavily relies on numerical methods. The presence of a shock wave as a triggering factor requires the use of compressible solvers, but once the shock has started the mixing process, the flow field freely decays and becomes incompressible. The dynamics of this instability is still to be fully understood, especially its long-time behaviour. One of the hypothesis is that the mixing layer achieves a self-similar development at some point during its evolution. However, the low-Mach flow at late-times does not always allow to push compressible simulations so far in time and when it is possible, they become extremely demanding from a computational point of view. In fact, it is known that standard compressible methods fail when the Mach number of the numerical field is low and moreover they lose time-marching efficiency. In this thesis, a new approach to the study of the very late-stage of the instability through the use of ILES is presented. The technique consists in starting the simulation by using the compressible model and to initialise the incompressible solver when the compressibility of the numerical field becomes sufficiently low. This allows to bypass the issues previously mentioned and study the very late-stage of the instability at reasonable computational costs. For this purpose, a new incompressible solver that employs high-resolution methods and which is based on the pressure-projection technique is developed. A number of different Riemann-solvers and reconstruction schemes are tested against experiments using the incompressible, impulsive version of RMI as test case. Two alternative methods are considered for triggering the mixing: velocity impulse and gravity pulse. Excellent results were obtained by using the former, whereas discrepancies were noticed when the latter was employed. Comparisons against numerical simulations in the literature allowed to identify the inviscid nature of the solver as the cause of these differences. However, this did not affect the capability of the solver to correctly compute multi-mode cases, in which viscosity is negligible. A preliminary study on the compressibility of the numerical field in time proved the feasibility of the numerical transition and a switching criterion based on the Mach number was established. The approach was therefore tested on a single-mode perturbation case and compared against compressible simulation. Very good agreement was found in the prediction of the growth of the instability and the analysis of the divergence of velocity of the numerical field proved the incompressibility of the solution generated by the hybrid solver. Finally, the approach was applied to multi-mode test cases. Excellent agreement with the theory was found. The turbulent kinetic energy presented a modified subinertial range and the growth exponent was very close to fully compressible predictions and experiments. Deeper results analysis showed against compressible simulations showed very good agreement on the flow physics. In fact, the instability settled to a self-similar regime with the same time-scale predicted by compressible analysis, but the simulated time reached by the hybrid solver was three times longer. The results obtained proved the applicability of the approach, opening to new possibilities for the study of the instability.
