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Journal articles on the topic 'Equation of state, carbon, shock waves'

Author: Grafiati

Published: 9 March 2023

Last updated: 31 July 2025

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1

Nannan, Nawin R., Corrado Sirianni, Tiemo Mathijssen, Alberto Guardone, and Piero Colonna. "The admissibility domain of rarefaction shock waves in the near-critical vapour–liquid equilibrium region of pure typical fluids." Journal of Fluid Mechanics 795 (April 14, 2016): 241–61. http://dx.doi.org/10.1017/jfm.2016.197.

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Application of the scaled fundamental equation of state of Balfour et al. (Phys. Lett. A, vol. 65, 1978, pp. 223–225) based upon universal critical exponents, demonstrates that there exists a bounded thermodynamic domain, located within the vapour–liquid equilibrium region and close to the critical point, featuring so-called negative nonlinearity. As a consequence, rarefaction shock waves with phase transition are physically admissible in a limited two-phase region in the close proximity of the liquid–vapour critical point. The boundaries of the admissibility region of rarefaction shock waves

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2

Elperin, I., O. Igra, and G. Ben-Dor. "Analysis of Normal Shock Waves in a Carbon Particle-Laden Oxygen Gas." Journal of Fluids Engineering 108, no. 3 (1986): 354–59. http://dx.doi.org/10.1115/1.3242586.

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The propagation of a normal shock wave into a quiescent oxygen gas seeded with carbon particles is studied. Due to the elevated postshock temperature the carbon particles ignite and burn until they disappear. For evaluating the effect of the burning carbon particles on the postshock-wave flow field, i.e., the relaxation zone, the conservation equations for a steady one-dimensional reactive suspension flow are formulated and solved numerically. The solution was repeated for a similar inert suspension flow. Comparing the two solutions revealed that the carbon burning has a major effect on the su

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3

I., A. VAKULENKO, G. LISNYAK A., N. PERKOV O., and XIAO HAI XU. "INFLUENCE OF SHOCK VOLTAGE FROM THE ELECTRIC DISCHARGE ON THE FATIGUE ENDURANCE OF CARBON STEEL IN WATER." Science and Transport Progress, no. 5(59) (November 10, 2015): 107–14. https://doi.org/10.15802/stp2015/53162.

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<strong>Purpose.</strong> The research supposes the explanation of influence of stress impulses from an electrical discharge in water on the level of the limited endurance at a cyclic loading of the thermally work-hardened carbon steel. <strong>Methodology</strong>. Material for research was steel 45 (0,45 % carbon) with сoncentration of chemical elements within the limits of steel composition. Specimens for tests are made as plates in 1 thick, width 15 and length 120-180 mm. The structural state of steel corresponded to quenching on a martensite from the normal temperatures of annea

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4

Nagayama, Kunihito. "Grueneisen Equation of State and Shock Waves." REVIEW OF HIGH PRESSURE SCIENCE AND TECHNOLOGY 4, no. 2 (1995): 118–27. http://dx.doi.org/10.4131/jshpreview.4.118.

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5

Khishchenko, K. V. "Equation of state for indium in shock waves." Journal of Physics: Conference Series 1385 (November 2019): 012002. http://dx.doi.org/10.1088/1742-6596/1385/1/012002.

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6

Gu, Yuan, Sizu Fu, Jiang Wu, Songyu Yu, Yuanlong Ni, and Shiji Wang. "Equation of state studies at SILP by laser-driven shock waves." Laser and Particle Beams 14, no. 2 (1996): 157–69. http://dx.doi.org/10.1017/s0263034600009915.

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The experimental progress of laser equation of state (EOS) studies at Shanghai Institute of Laser Plasma (SILP) is discussed in this paper. With a unique focal system, the uniformity of the laser illumination on the target surface is improved and a laser-driven shock wave with good spatial planarity is obtained. With an inclined aluminum target plane, the stability of shock waves are studied, and the corresponding thickness range of the target of laser-driven shock waves propagating steadily are given. The shock adiabats of Cu, Fe, SiO2 are experimentally measured. The pressure in the material

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7

Lifits, S. A., S. I. Anisimov, and J. Meyer-ter-Vehn. "Shock Waves produced by Impulsive Load: Equation of State Effects." Zeitschrift für Naturforschung A 47, no. 3 (1992): 453–59. http://dx.doi.org/10.1515/zna-1992-0301.

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Abstract A numerical study of the flow after impulsive load of a plane material surface is carried out. It is shown that the flow is asymptotically self-similar provided one can neglect the cold components in the equation of state. In this case the effective exponent s(t) = d l n (X s) / d ln(t), derived from the shock trajectory Xs (t) does not depend on the initial pressure pulse and approaches the exponent α of the self-similar problem for time t →∞. For equations of state containing a cold pressure term, s (t) is larger than α and changes non-monotonically with time. Some features of the f

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8

Khishchenko, Konstantin V. "Equation of State for Bismuth at High Energy Densities." Energies 15, no. 19 (2022): 7067. http://dx.doi.org/10.3390/en15197067.

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The purpose of this work is to describe the thermodynamic properties of bismuth in a broad scope of mechanical and thermal effects. A model of the equation of state in a closed form of the functional relationship between pressure, specific volume, and specific internal energy is developed. A new expression is proposed for the internal energy of a zero-temperature isotherm in a wide range of compression ratios, which has asymptotics to the Thomas–Fermi model with corrections. Based on the new model, an equation of state for bismuth in the region of body-centered cubic solid and liquid phases is

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9

CONSTANTIN, C., E. DEWALD, C. NIEMANN, et al. "Cold compression of solid matter by intense heavy-ion-beam-generated pressure waves." Laser and Particle Beams 22, no. 1 (2004): 59–63. http://dx.doi.org/10.1017/s0263034604221115.

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Experimental investigations of heavy-ion-generated shock waves in solid, multilayered targets were performed by applying a Schlieren and a laser-deflection technique. Shock velocity and the corresponding pressures, temporal and spatial density profiles inside the material compressed by multiple shock waves, and details of the shock dynamics were determined. Important for equation-of-state and phase transition studies, such experiments extend their relevance to inertial confinement fusion and astrophysical fundamental research.

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10

Cho, Heyrim, Daniele Venturi, and George E. Karniadakis. "Statistical analysis and simulation of random shocks in stochastic Burgers equation." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2171 (2014): 20140080. http://dx.doi.org/10.1098/rspa.2014.0080.

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We study the statistical properties of random shock waves in stochastic Burgers equation subject to random space–time perturbations and random initial conditions. By using the response–excitation probability density function (PDF) method and the Mori–Zwanzig (MZ) formulation of irreversible statistical mechanics, we derive exact reduced-order equations for the one-point and two-point PDFs of the solution field. In particular, we compute the statistical properties of random shock waves in the inviscid limit by using an adaptive (shock-capturing) discontinuous Galerkin method in both physical an

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11

Harris, S. E. "Sonic shocks governed by the modified Burgers' equation." European Journal of Applied Mathematics 7, no. 2 (1996): 201–22. http://dx.doi.org/10.1017/s0956792500002291.

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In this paper, we investigate the evolution of N-waves in a medium governed by the modified Burgers' equation. It is shown that the general behaviour when the nonlinearity is of arbitrary odd integer order is the same as for the cubic case. For an N-wave of zero mean displacement, a shock is formed immediately to prevent a multi-valued solution and a second shock is formed at later times. At a finite time, the second shock satisfies a sonic condition and this state persists. The Taylor-type shock structure ceases to be the appropriate description, and instead we have a shock which matches only

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12

GUNDLACH, C., and R. J. LEVEQUE. "Universality in the run-up of shock waves to the surface of a star." Journal of Fluid Mechanics 676 (April 8, 2011): 237–64. http://dx.doi.org/10.1017/jfm.2011.42.

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We investigate the run-up of a shock wave from inside to the surface of a perfect fluid star in equilibrium and bounded by vacuum. Near the surface we approximate the fluid motion as plane-symmetric and the gravitational field as constant. We consider the ‘hot’ equation of state P = (Γ − 1)ρe and its ‘cold’ (fixed entropy, barotropic) form P = K0ρΓ (the latter does not allow for shock heating). We numerically find that the evolution of generic initial data approaches universal similarity solutions sufficiently near the surface, and we explicitly construct these similarity solutions. The two eq

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13

Bel'kheeva, Rumiya K. "Low-parametric equation of state for graphite describing solid and porous samples under shock and unloading waves." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 90 (2024): 50–63. http://dx.doi.org/10.17223/19988621/90/5.

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This study is aimed to obtain the parameters of the graphite equation of state represented as the Mie–Grüneisen equation of state. Graphite with metals and the porous graphite are considered as simple thermodynamically equilibrium mixtures. The equilibrium state is determined by the conditions of equal pressure, temperature, and velocity of the components in the mixture. Thus, the motion of the multicomponent medium can be described as the motion of a continuum with a special equation of state that takes into account the properties of the mixture components and their concentration, which signi

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14

Ayumu Yamamoto, Kazuteru Toh, and Masaaki Tamagawa. "Numerical Simulation to Investigate Interactions of Generated Underwater Micro Shock Waves and Micro Bubbles by Focusing Femtosecond Pulse Laser." Journal of Advanced Research in Numerical Heat Transfer 13, no. 1 (2023): 18–30. http://dx.doi.org/10.37934/arnht.13.1.1830.

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The purpose of this study is to elucidate the mechanism of propagation of the laser-induced micro shock waves under condition where the micro bubbles are generated. In this paper, effects of generated micro bubbles on propagation of the laser-induced micro shock waves were investigated by CFD (computational fluid dynamics). Firstly, the two models (1-D model and 1-D spherical symmetric model) were computed for comparison of the peak pressure variation of the shock waves with propagation. As for governing equations for the propagation of the shock waves, continuity equation, Euler’s momentum eq

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15

Abdulazeem, Mohamed. "Condensed media shock waves and detonations: equation of state and performance." High Temperatures-High Pressures 30, no. 4 (1998): 387–422. http://dx.doi.org/10.1068/htrt121.

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16

Khishchenko, K. V. "Equation of state for potassium in shock waves at high pressures." Journal of Physics: Conference Series 946 (January 2018): 012082. http://dx.doi.org/10.1088/1742-6596/946/1/012082.

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17

Khishchenko, K. V. "Equation of State of Hafnium at High Pressures in Shock Waves." Physics of Wave Phenomena 31, no. 2 (2023): 123–25. http://dx.doi.org/10.3103/s1541308x23020073.

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18

Ng, A., D. Parfeniuk, L. Da Silva, and P. Celliers. "Laser-driven shock wave experiments at the University of British Columbia." Laser and Particle Beams 4, no. 3-4 (1986): 555–67. http://dx.doi.org/10.1017/s0263034600002238.

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A review of recent laser-driven shock wave experiments at the University of British Columbia is presented. These include emissivity and reflectivity measurements on target rear surfaces when the shock wave emerges as well as measurements of the trajectories of shock propagation in initially transparent targets irradiated by temporally tailored laser pulses. The rear surface measurements allowed us to study the equation of state and electron conductivity of dense plasmas while coalescence of shock waves was evident in the trajectory of shock waves driven by a shaped pulse.

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19

Neff, S., and R. Presura. "Simulation of shock waves in flyer plate impact experiments." Laser and Particle Beams 28, no. 4 (2010): 539–45. http://dx.doi.org/10.1017/s0263034610000595.

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AbstractIn this paper we present a newly developed one-dimensional hydrodynamic simulation code and use it to determine the shock evolution in flyer plate impact experiments. The code is Lagrangian with artificial viscosity and uses shock Hugoniot data in its equation-of-state calculations instead of SESAME data tables. First shock calculations for transparent targets show a good agreement with theoretical predictions, making the code suitable for designing future flyer impact experiments at the Nevada Terawatt Facility.

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20

Khudainazarov, Sherzod, Burkhon Donayev, and B. Ashirov. "Propagation of a spherical wave in elastoplastic medium with complex equations of state." E3S Web of Conferences 264 (2021): 02041. http://dx.doi.org/10.1051/e3sconf/202126402041.

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The propagation of a spherical wave in the soil is solved in an analytically inverse way for soils with more complex equations of state. The results are obtained to propagate a spherical shock wave in soil with a more complex equation of state for the shape change in the medium. The study shows that taking into account the nonlinear elastic shock waves of the annular stress leads to an increase compared to the elastic medium. Note that in using a complicated equation of state of the soil, a spherical shock wave propagates in the soil, behind the front of which, in the disturbance region, the m

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21

Kraus, Evgeny. "The Calculation of Elastic Modulus Behind Strong Shock Waves." Siberian Journal of Physics 4, no. 4 (2009): 79–90. http://dx.doi.org/10.54362/1818-7919-2009-4-4-79-90.

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In the paper the approach for calculation of mechanical characteristics of materials behind strong shock waves is realized in the frame of uniform system of the few-parametric equation of state [1]. For the considered materials a comprehensive comparison of theoretical computational results with available at high energy density experimental data is carried out and good agreement of the results is obtained

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22

Kouremenos, D. A., and K. A. Antonopoulos. "Real gas normal shock waves with the redlich-kwong equation of state." Acta Mechanica 76, no. 3-4 (1989): 223–33. http://dx.doi.org/10.1007/bf01253581.

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23

Congy, T., G. A. El, and M. A. Hoefer. "Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves." Journal of Fluid Mechanics 875 (July 26, 2019): 1145–74. http://dx.doi.org/10.1017/jfm.2019.534.

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A new type of wave–mean flow interaction is identified and studied in which a small-amplitude, linear, dispersive modulated wave propagates through an evolving, nonlinear, large-scale fluid state such as an expansion (rarefaction) wave or a dispersive shock wave (undular bore). The Korteweg–de Vries (KdV) equation is considered as a prototypical example of dynamic wavepacket–mean flow interaction. Modulation equations are derived for the coupling between linear wave modulations and a nonlinear mean flow. These equations admit a particular class of solutions that describe the transmission or tr

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24

Niu, Yang-Yao. "A Simulation of the Liquid Shock and Cavitation Based on a Multi-Equation Model." International Journal of Computational Methods 13, no. 04 (2016): 1641010. http://dx.doi.org/10.1142/s0219876216410103.

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In this paper, an unsteady preconditioning formulation for multi-phase flows with arbitrary equation of state based on the approximated Riemann solver is developed for multi-phase flows at all speed. This paper considers a homogeneous two-phase multi-equation mixture model with the assumption of kinematics and thermodynamics equilibriums. The thermodynamics behaviors of liquid phase, vapor phase and their phase transitional process are described by a temperature-dependent hybrid equation of state. Benchmark test cases, including one-dimensional (1D) condensation shock in the cavitated nozzle a

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25

Anisimov, S. I., and V. A. Kravchenko. "Shock Wave in Condensed Matter Generated by Impulsive Load." Zeitschrift für Naturforschung A 40, no. 1 (1985): 8–13. http://dx.doi.org/10.1515/zna-1985-0104.

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A shock wave in condensed matter generated by impulsive load ("shock loading") is considered. A self-similar solution of the problem is presented. The media are described by the equation-of-state of the Mie-Grüneisen type. Values of the self-similarity exponent and the profiles of gas-dynamical variables have been calculated. The problem of generation of shock waves by ultra-short laser pulses is discussed.

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26

Bossi, Simone, Tom A. Hall, Mohammed Mahdieh, et al. "Determination of the color temperature in laser-produced shocks." Laser and Particle Beams 15, no. 4 (1997): 485–93. http://dx.doi.org/10.1017/s0263034600011071.

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Experimental results on the determination of the color temperature in shock waves produced with lasers are presented. The method is based on imaging the target rear side in two different spectral windows and on using phased zone plates to produce high-quality shocks. The shock velocity is also measured, allowing, with the use of the equation of state, the real shock temperature to be deduced and compared with the measured color temperature.

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27

Kharab, Abdelwahab, and Jamal Benbourenane. "Early response of soils to violent disturbances." International Journal of Applied Mathematical Research 6, no. 2 (2017): 39. http://dx.doi.org/10.14419/ijamr.v6i2.3612.

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A one-dimensional model dealing with underground explosions as experienced in areas such as mining or excavations is presented. When an explosion in a typical soil medium occurs, soil material is displaced and shock waves propagate in the soil medium. Soil is considered as a floating, ideally locking material. In this paper, the speed of propagation for the shock waves is analyzed, and results are given. The Mie-Gruneisen equation of state is used to find the pressure as a function of the density. Results with the present model yield an efficient and comprehensive means to analyze speed of wav

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28

Nellis, W. J., A. C. Mitchell, F. H. Ree, et al. "Equation of state of shock‐compressed liquids: Carbon dioxide and air." Journal of Chemical Physics 95, no. 7 (1991): 5268–72. http://dx.doi.org/10.1063/1.461665.

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29

Bugaev, K. A., M. I. Gorenshtein, and V. I. Zhdanov. "Relativistic shock waves in the presence of regions with anomalous equation of state." Theoretical and Mathematical Physics 80, no. 1 (1989): 767–75. http://dx.doi.org/10.1007/bf01015315.

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30

Ozaki, N., K. A. Tanaka, T. Ono, et al. "GEKKO/HIPER-driven shock waves and equation-of-state measurements at ultrahigh pressures." Physics of Plasmas 11, no. 4 (2004): 1600–1608. http://dx.doi.org/10.1063/1.1650845.

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31

HENDERSON, LE ROY F., and RALPH MENIKOFF. "Triple-shock entropy theorem and its consequences." Journal of Fluid Mechanics 366 (July 10, 1998): 179–210. http://dx.doi.org/10.1017/s0022112098001244.

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For a convex equation of state, a general theorem on shock waves is proved: a sequence of two shocks has a lower entropy than a single shock to the same final pressure. We call this the triple-shock entropy theorem. This theorem has important consequences for shock interactions. In one dimension the interaction of two shock waves of the opposite family always results in two outgoing shock waves. In two dimensions the intersection of three shocks, such as a Mach configuration, must have a contact. Moreover, the state behind the Mach stem has a higher entropy than the state behind the reflected

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32

Arora, Rajan. "ASYMPTOTICAL SOLUTIONS FOR A VIBRATIONALLY RELAXING GAS." Mathematical Modelling and Analysis 14, no. 4 (2009): 423–34. http://dx.doi.org/10.3846/1392-6292.2009.14.423-434.

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Using the weakly non‐linear geometrical acoustics theory, we obtain the small amplitude high frequency asymptotic solution to the basic equations governing one dimensional unsteady planar, spherically and cylindrically symmetric flow in a vibrationally relaxing gas with Van der Waals equation of state. The transport equations for the amplitudes of resonantly interacting waves are derived. The evolutionary behavior of non‐resonant wave modes culminating into shock waves is also studied.

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33

Karakozova, Anastasia, and Sergey Kuznetsov. "Oscillating Nonlinear Acoustic Waves in a Mooney–Rivlin Rod." Applied Sciences 13, no. 18 (2023): 10037. http://dx.doi.org/10.3390/app131810037.

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Harmonic wave excitation in a semi-infinite incompressible hyperelastic 1D rod with the Mooney–Rivlin equation of state reveals the formation and propagation of the shock wave fronts arising between faster and slower moving parts of the initially harmonic wave. The observed shock wave fronts result in the collapse of the slower moving parts being absorbed by the faster parts; hence, to the attenuation of the kinetic and the elastic strain energy with the corresponding heat generation. Both geometrically and physically nonlinear equations of motion are solved by the explicit Lax–Wendroff numeri

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34

Saenz, J. A., B. D. Taylor, and D. S. Stewart. "Asymptotic calculation of the dynamics of self-sustained detonations in condensed phase explosives." Journal of Fluid Mechanics 710 (August 31, 2012): 166–94. http://dx.doi.org/10.1017/jfm.2012.358.

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AbstractWe use the weak-curvature, slow-time asymptotics of detonation shock dynamics (DSD) to calculate an intrinsic relation between the normal acceleration, the normal velocity and the curvature of a lead detonation shock for self-sustained detonation waves in condensed phase explosives. The formulation uses the compressible Euler equations for an explosive that is described by a general equation of state with multiple reaction progress variables. The results extend an earlier asymptotic theory for a polytropic equation of state and a single-step reaction rate model discussed by Kasimov (Th

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35

Wang, Jinhuan, Yicheng Pang, and Yu Zhang. "Limits of Solutions to the Isentropic Euler Equations for van der Waals Gas." International Journal of Nonlinear Sciences and Numerical Simulation 20, no. 3-4 (2019): 461–73. http://dx.doi.org/10.1515/ijnsns-2018-0263.

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AbstractIn this paper, we consider limit behaviors of Riemann solutions to the isentropic Euler equations for a non-ideal gas (i.e. van der Waals gas) as the pressure vanishes. Firstly, the Riemann problem of the isentropic Euler equations for van der Waals gas is solved. Then it is proved that, as the pressure vanishes, any Riemann solution containing two shock waves to the isentropic Euler equation for van der Waals gas converges to the delta shock solution to the transport equations and any Riemann solution containing two rarefaction waves tends to the vacuum state solution to the transport

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36

Tytarenko, P. V., and V. I. Zhdanov. "Existence and stability of shock waves in relativistic hydrodynamics with general equation of state." Physics Letters A 240, no. 6 (1998): 295–300. http://dx.doi.org/10.1016/s0375-9601(97)00973-0.

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37

Chashechkin, Yuli D. "Singular perturbed components of flows – linear precursors of shock waves." Mathematical Modelling of Natural Phenomena 13, no. 2 (2018): 17. http://dx.doi.org/10.1051/mmnp/2018020.

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A comparative analysis of the infinitesimal symmetries of various well-known systems of governing equations used for mathematical descriptions of flows and waves in fluids has shown that only the basic system of equations, including the empirical equation of state and the partial differential equations of mass, momentum, energy and matter transport, is characterized by a ten-parameter Galilean transformation group. An analysis of the complete solutions of the linearized system of fundamental equations for weakly dissipating media reveals a wide class of previously unknown singularly perturbed

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38

Jahan, Sharmin, Booshrat E. Sharmin, Nure Alam Chowdhury, Abdul Mannan, Tanu Shree Roy, and A. A. Mamun. "Electrostatic Ion-Acoustic Shock Waves in a Magnetized Degenerate Quantum Plasma." Plasma 4, no. 3 (2021): 426–34. http://dx.doi.org/10.3390/plasma4030031.

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A theoretical investigation has been carried out to examine the ion-acoustic shock waves (IASHWs) in a magnetized degenerate quantum plasma system containing inertialess ultra-relativistically degenerate electrons, and inertial non-relativistic positively charged heavy and light ions. The Burgers equation is derived by employing the reductive perturbation method. It can be seen that under the consideration of non-relativistic positively charged heavy and light ions, the plasma model only supports the positive electrostatic shock structure. It is also observed that the charge state and number d

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39

Gojani, A. B., and Kazuyoshi Takayama. "Experimental Determination of Shock Hugoniot for Water, Castor Oil, and Aqueous Solutions of Sodium Chloride, Sucrose and Gelatin." Materials Science Forum 566 (November 2007): 23–28. http://dx.doi.org/10.4028/www.scientific.net/msf.566.23.

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Shock waves are indispensable tools for medical applications, and hence their interactions with human tissue become one of the most important basic research topics. In this paper, the determination of shock Hugoniot curves for liquids that can model human tissue, namely water, castor oil, and aqueous solutions of sodium chloride, sucrose and gelatin, at 10 and 20 weight percent are presented. Underwater shock waves were generated by ignition of 10 mg silver azide pellets and time variations of over-pressures were measured and simultaneously the shock speed was measured by the time of flight te

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40

GUARDONE, ALBERTO, CALIN ZAMFIRESCU, and PIERO COLONNA. "Maximum intensity of rarefaction shock waves for dense gases." Journal of Fluid Mechanics 642 (December 23, 2009): 127–46. http://dx.doi.org/10.1017/s0022112009991716.

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Modern thermodynamic models indicate that fluids consisting of complex molecules may display non-classical gasdynamic phenomena such as rarefaction shock waves (RSWs) in the vapour phase. Since the thermodynamic region in which non-classical phenomena are physically admissible is finite in terms of pressure, density and temperature intervals, the intensity of RSWs is expected to exhibit a maximum for any given fluid. The identification of the operating conditions leading to the RSW with maximum intensity is of paramount importance for the experimental verification of the existence of non-class

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41

YOSHIDA, Masatake. "Study of Equation of State Using Laser-Induced Shock-Wave Compression: Generation and Properties of Laser-Induced Shock Waves." Journal of Plasma and Fusion Research 80, no. 6 (2004): 427–31. http://dx.doi.org/10.1585/jspf.80.427.

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42

Konyukhov, A. V., P. R. Levashov, A. P. Likhachev, and I. L. Iosilevskii. "Instability of relativistic shock waves: numerical study on the basis of model equation of state." Vestnik Ob"edinennogo instituta vysokikh temperatur 3, no. 2 (2019): 43–49. http://dx.doi.org/10.33849/2019208.

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43

Zhdanov, V. I., and P. V. Tytarenko. "Criterion for existence of shock waves in relativistic magnetohydrodynamics with a general equation of state." Physics Letters A 235, no. 1 (1997): 71–75. http://dx.doi.org/10.1016/s0375-9601(97)00549-5.

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44

Konyukhov, A. V., A. P. Likhachev, P. R. Levashov, and I. L. Iosilevskiy. "Instability of relativistic shock waves: Numerical study on the basis of model equation of state." Journal of Physics: Conference Series 1147 (January 2019): 012024. http://dx.doi.org/10.1088/1742-6596/1147/1/012024.

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Crandall, L. E., J. R. Rygg, D. K. Spaulding, et al. "Equation-of-state, sound speed, and reshock of shock-compressed fluid carbon dioxide." Physics of Plasmas 28, no. 2 (2021): 022708. http://dx.doi.org/10.1063/5.0039967.

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Lukyanov, A. A. "An equation of state of a carbon-fibre epoxy composite under shock loading." European Physical Journal B 74, no. 1 (2010): 35–45. http://dx.doi.org/10.1140/epjb/e2010-00043-4.

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NADIM, A., D. GOLDMAN, J. J. CARTMELL, and P. E. BARBONE. "A PHASE-PLANE DESCRIPTION OF NONLINEAR TRAVELING WAVES IN BUBBLY LIQUIDS." Journal of Computational Acoustics 07, no. 02 (1999): 71–82. http://dx.doi.org/10.1142/s0218396x99000072.

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One-dimensional traveling wave solutions to the fully nonlinear continuity and Euler equations in a bubbly liquid are considered. The elimination of velocity from the two equations leaves a single nonlinear algebraic relation between the pressure and density profiles in the mixture. On assuming the bubbles to have identical size and taking the volume fraction of bubbles in the medium to be small, an equation of state which relates the mixture pressure to the density and its first two material time-derivatives is derived. When this equation of state is linearized and combined with the laws of c

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Koroleva, M. R., O. V. Mishchenkova, V. A. Tenenev, and T. Raeder. "Nonlinear Processes in Safety Systems for Substances with Parameters Close to a Critical State." Nelineinaya Dinamika 17, no. 1 (2021): 119–38. http://dx.doi.org/10.20537/nd210109.

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The paper presents a modification of the digital method by S. K. Godunov for calculating real gas flows under conditions close to a critical state. The method is generalized to the case of the Van der Waals equation of state using the local approximation algorithm. Test calculations of flows in a shock tube have shown the validity of this approach for the mathematical description of gas-dynamic processes in real gases with shock waves and contact discontinuity both in areas with classical and nonclassical behavior patterns. The modified digital scheme by Godunov with local approximation of the

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Deka, Manoj K., Balaram Pradhan, Apul N. Dev, Deepsikha Mahanta, Jalil Manafian, and Khaled H. Mahmoud. "Shock Waves in Ion-Beam-Depleted Spin-Polarized Quantum Plasma with Ionic Pressure Anisotropy." Plasma 8, no. 1 (2025): 3. https://doi.org/10.3390/plasma8010003.

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In this study, the effects of pressure anisotropy and viscosity on the propagation of shock waves in spin-polarized degenerate quantum magnetoplasma are studied under the influence of the streaming energy of ion beams. The effects of different suitable plasma parameters on the shock wave’s potential profile are studied using the steady state solution of the Zakharov–Kuznetsov–Burgers (Z–K–B) equation, as well as the numerical simulation of the governing non-linear Z–K–B equation. First-order analysis of the non-linear wave propagation depicted a new beam-induced stable mode whose Mach number m

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de la Cruz-Hernández, Manuel E., and Sergio Mendoza. "Full analytical ultrarelativistic 1D solutions of a planar working surface." Monthly Notices of the Royal Astronomical Society 507, no. 2 (2021): 1827–35. http://dx.doi.org/10.1093/mnras/stab2158.

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ABSTRACT We show that the 1D planar ultrarelativistic shock tube problem with an ultrarelativistic polytropic equation of state can be solved analytically for the case of a working surface, i.e. for the case when an initial discontinuity on the hydrodynamical quantities of the problem form two shock waves separating from a contact discontinuity. The procedure is based on the extensive use of the Taub jump conditions for relativistic shock waves, the Taub adiabatic, and performing Lorentz transformations to present the solution in a system of reference adequate for an external observer at rest.

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