Temperature profile at the front of a shock wave propagating in a vibrationally excited stationary nonequilibrium gas

Galimov, R. N.; Makaryan, V. G.; Molevich, N. E.

doi:10.1134/s1063784206120176

Cited by 2 publications

(2 citation statements)

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“…Dependences (6) allow to investigate the dynamics of sound waves in a variety of acoustically active media by selection of appropriate parameters τ ̺ , τ T , Q ̺ , Q T , I ̺ , I T . The equation of state is applied to close the system of equations ( 1)-( 6)…”

Section: Mathematical Modelmentioning

confidence: 99%

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Dynamics of unstable sound waves in a non-equilibrium medium at the nonlinear stage

Khrapov¹,

Хоперсков²

2018

J. Phys.: Conf. Ser.

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A new dispersion equation is obtained for a non-equilibrium medium with an exponential relaxation model of a vibrationally excited gas. We have researched the dependencies of the pump source and the heat removal on the medium thermodynamic parameters. The boundaries of sound waves stability regions in a non-equilibrium gas have been determined. The nonlinear stage of sound waves instability development in a vibrationally excited gas has been investigated within CSPH-TVD and MUSCL numerical schemes using parallel technologies OpenMP-CUDA. We have obtained a good agreement of numerical simulation results with the linear perturbations dynamics at the initial stage of the sound waves growth caused by instability. At the nonlinear stage, the sound waves amplitude reaches the maximum value that leads to the formation of shock waves system. 1 Khrapov S., Khoperskov A. Dynamics of unstable sound waves in a non-equilibrium medium at the nonlinear stage //

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Section: Mathematical Modelmentioning

confidence: 99%

“…Various aspects of this problem have been discussed in Ref. [6]. In such gas the increase in the sound waves amplitude due to the instability may lead to a shock waves system formation [7].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of unstable sound waves in a non-equilibrium medium at the nonlinear stage

Khrapov¹,

Хоперсков²

2018

J. Phys.: Conf. Ser.

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Shock wave structures in an isentropically unstable heat-releasing gas

Molevich

Riashchikov

2021

Physics of Fluids

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In this work, we analytically and numerically investigate the types of stationary gasdynamic waves formed in a heat-releasing medium with isentropic (acoustic) instability. As the mathematical model, the system of one-dimensional gasdynamic equations is used, in which the heating and cooling processes are taken into account using the generalized heat-loss function. Our analysis reveals that the type of stationary structures depends on their velocity W and heating/cooling processes acting in the medium. In an isentropically unstable medium, it is shown that the type of structures depends on whether they propagate faster or slower than the critical velocity Wcr. If W>Wcr, a shock wave is formed, in which, after the shock-wave compression, the gas expands to a stationary value. The characteristic size of the expansion region depends on the characteristic heating time, which is determined by the specific type of the heat-loss function. If W<Wcr, the shock wave turns out to be unstable and decays into a sequence of autowave (self-sustaining) pulses. The amplitude and velocity (W=Wcr) of the autowave pulse, found analytically in the article, are also determined by the type of the heat-loss function. The comparison of analytical predictions of the developed method with the results of nonlinear equation previously obtained using the perturbation theory, as well as with the numerical simulations, confirms the high accuracy of the method.

show abstract

Temperature profile at the front of a shock wave propagating in a vibrationally excited stationary nonequilibrium gas

Cited by 2 publications

References 1 publication

Dynamics of unstable sound waves in a non-equilibrium medium at the nonlinear stage

Dynamics of unstable sound waves in a non-equilibrium medium at the nonlinear stage

Shock wave structures in an isentropically unstable heat-releasing gas

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