Stability boundaries for the Rayleigh-Taylor instability in accelerated elastic-plastic solid slabs

Piriz, A. R.; Piriz, S. A.; Tahir, N. A.

doi:10.1103/physreve.100.063104

Cited by 15 publications

(3 citation statements)

References 67 publications

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“…They investigate two kind of non-equilibrium quantities related to heat flux and viscous stress [87]. Piriz and Piriz worked on a linear elastic perfect-plastic constitutive model to develop the 2D linear theory of the incompressible RTI [88].…”

Section: Review Of the Current Statusmentioning

confidence: 99%

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

Singh¹,

Vidhani²,

Yogi³

et al. 2023

Plasma Science - Recent Advances, New Perspectives and Applications

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The presence of plasma density gradient is one of the main sources of Rayleigh–Taylor instability (RTI). The Rayleigh–Taylor instability has application in meteorology to explain cloud formations and in astrophysics to explain finger formation. It has wide applications in the inertial confinement fusion to determine the yield of the reaction. The aim of the chapter is to discuss the current status of the research related to RTI. The current research related to RTI has been reviewed, and general dispersion relation has been derived under the thermal motion of electron. The perturbed densities of ions and electrons are determined using two fluid approach under the small amplitude of oscillations. The dispersion equation is derived with the help of Poisson’s equation and solved numerically to investigate the effect of various parameters on the growth rate and real frequency. It has been shown that the real frequency increases with plasma density gradient, electron temperature and the wavenumber, but magnetic field has opposite effect on it. On the other hand, the growth rate of instability increases with magnetic field and density gradient, but it decreases with electron temperature and wave number.

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Section: Review Of the Current Statusmentioning

confidence: 99%

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

Singh¹,

Vidhani²,

Yogi³

et al. 2023

Plasma Science - Recent Advances, New Perspectives and Applications

View full text Add to dashboard Cite

show abstract

“…Tungsten is one of the materials that better satisfy these two requirements. Recent analysis has shown [62,63] that the implosion can be sufficiently stable, provided that the symmetry below 2% in the driving pressure is achieved. Such a symmetry level is expected to be achievable with the wobbler system that will rotate the beam with a frequency of 1 GHz [60].…”

Section: Beam and Target Parameters Used In The Studymentioning

confidence: 99%

Planetary physics research at the Facility for Antiprotons and Ion Research using intense ion beams

et al. 2022

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Intense particle beams offer a new efficient driver to produce extended samples of high energy density (HED) matter with extreme physical conditions that are expected to exist in the planetary interiors. In this paper, we present two-dimensional hydrodynamic implosion simulations of a multi-layered cylindrical target that is driven by an intense uranium beam. The target is comprised of a sample material (which is water in the present case) that is enclosed in a cylindrical tungsten shell. This scheme is named LAPLAS that stands for Laboratory Planetary Science, and it leads to a low entropy compression. This means that the water sample is compressed to super-solid densities, ultra-high pressures, but relatively low temperatures. Such exotic conditions are predicted to exist in the cores of water-rich solar, as well as extrasolar planets. The beam parameters are chosen to match the characteristics of the particle beam that will be delivered by the heavy ion synchrotron, SIS100, at the Facility for Antiprotons and Ion Research (FAIR), at Darmstadt. It is to be noted that the LAPLAS scheme is an important part of the HED physics program at FAIR, which is named HEDP@FAIR. The simulations predict that the LAPLAS experiments will produce a wealth of information on the Equation-of-State properties of the exotic matter that forms the planetary cores. This information can be very helpful in understanding the formation, evolution and the final structure of the planets.

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“…[39] In addition, Piriz obtained the stability boundaries by using the Helmholtz decomposition in the elastic phase, following Drucker [8] and the method of the limit analysis to treat rigid-plastic phase. [40] But, only solid accelerated by semiinfinite idea fluid is discussed. The composition method has not been performed to solid slab with plastic mechanical properties leading to different methods used in elastic and plastic regimes.…”

Section: Introductionmentioning

confidence: 99%

A simplified approximate analytical model for Rayleigh–Taylor instability in elastic–plastic solid and viscous fluid with thicknesses*

Wang¹,

Hu²,

Shengtao³

et al. 2021

Chinese Phys. B

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A simplified theoretical model for the linear Rayleigh–Taylor instability of finite thickness elastic–plastic solid constantly accelerated by finite thickness viscous fluid is performed. With the irrotational assumption, it is possible to consider viscosity, surface tension, elasticity or plasticity effects simultaneously. The model considers thicknesses at rigid wall boundary conditions with the velocity potentials, and deals with solid elastic–plastic transition and fluid viscosity based on the velocity continuity and force equilibrium at contact interface. The complete analytical expressions of the amplitude motion equation, the growth rate, and the instability boundary are obtained for arbitrary Atwood number, viscosity, thicknesses of solid and fluid. The thicknesses effects of two materials on the growth rate and the instability boundary are discussed.

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Stability boundaries for the Rayleigh-Taylor instability in accelerated elastic-plastic solid slabs

Cited by 15 publications

References 67 publications

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

Planetary physics research at the Facility for Antiprotons and Ion Research using intense ion beams

A simplified approximate analytical model for Rayleigh–Taylor instability in elastic–plastic solid and viscous fluid with thicknesses*

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