Collision of an interplanetary shock wave with the Earth’s bow shock. Hydrodynamic parameters and magnetic field

Korolev, A. S.; Pushkar, E. A.

doi:10.1134/s001546281402015x

Cited by 17 publications

(4 citation statements)

References 13 publications

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“…The shock waves in gravitating gas can be important for description of shocks in supernova explosions, in the study of central part of star burst galaxies, nuclear explosion, rupture of a pressurized vessel, and explosion in the ionosphere. Other potential applications of this study include analysis of data from the measurements carried out by spacecraft in the solar wind and in neighbourhood of the Earth's surface (Korolev and Pushkar). The following conclusions may be drawn from the finding of the current analysis: Here, the similarity solution for unsteady adiabatic flow of a non‐ideal gas behind a spherical shock wave in the presence of gravitational field and monochromatic radiation is investigated, which was not done earlier. The medium is considered under the influence of gravitational field due to central mass at the origin.…”

Section: Resultsmentioning

confidence: 99%

Similarity solution for a spherical shock wave in a non‐ideal gas under the influence of gravitational field and monochromatic radiation with increasing energy

Sahu

2019

Math Methods in App Sciences

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The propagation of a spherical shock wave in a non‐ideal gas with or without gravitational effects is investigated under the action of monochromatic radiation. Similarity solutions are obtained for adiabatic flow between the shock and the piston. The numerical solutions are obtained using the Runge‐Kutta method of the fourth order. The density of the gas is assumed to be constant. The total energy of the shock wave is non‐constant and varies with time. The effects of change in values of non‐idealness parameter, gravitational parameter, shock Mach number, radiation parameter, and adiabatic exponent of the gas on shock strength and flow variables are worked out in detail. It is investigated that the presence of gravitational field increases the compressibility of the medium, due to which it is compressed and, therefore, the distance between the inner contact surface and the shock surface is reduced. A comparison is also made between the solutions in the cases of the gravitating and the non‐gravitating media. It is manifested that the gravitational parameter and the radiation parameter have in general opposite behaviour on the flow variables and the shock strength.

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Section: Resultsmentioning

confidence: 99%

Similarity solution for a spherical shock wave in a non‐ideal gas under the influence of gravitational field and monochromatic radiation with increasing energy

Sahu

2019

Math Methods in App Sciences

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“…As the particles of plasma are charged, they are strongly influenced by electromagnetic effects. The solutions obtained can be used to elucidate measurements carried out by spacecraft in the solar wind and in the neighborhood of Earth's magnetosphere (Korolev and Pushkar [55]). Other applications may include the study of supernova explosions, explosions in the ionosphere, and blast waves produced in strong explosions.…”

Section: Discussionmentioning

confidence: 99%

The propagation of strong cylindrical shock wave in a rotating axisymmetric non‐ideal gas with radiation heat flux

Yadav

Singh

Arora

2023

Math Methods in App Sciences

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In this manuscript, we studied a quasi-linear hyperbolic system of partial differential equations which describes the one-dimensional adiabatic unsteady flow behind a strong cylindrical shock wave propagating in a rotating non-ideal gas, which has a varying azimuthal fluid velocity together with a varying axial fluid velocity, with radiation heat flux, and similarity solutions are obtained by using the Lie group-theoretic method. The basic idea of this method is that it changes the system of PDEs representing the one-dimensional flow through the similarity variable to the system of ODEs. The flow profiles are drawn behind the shock followed by a brief discussion on the behavior of the solutions via graphs. The effects of variation in non-ideal parameter, adiabatic index of the gas, Alfven-Mach number and ambient azimuthal velocity exponent on the flow variables are described. All numerical calculations have been performed using the "Mathematica" software.

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“…The shock waves in gravitating dusty gas can be important for description of shocks in supernova explosions, in the study of central part of star burst galaxies, nuclear explosion, rupture of a pressurized vessel and explosion in the ionosphere. Other potential applications of this study include analysis of data from the measurements carried out by spacecraft in the solar wind and in neighbourhood of the Earth's surface (Korolev and Pushkar [44] ). The present study is related to and our results may be helpful to some questions being investigated in astrophysical plasmas (Popel et al, [45] Popel and Gisko [21] ):…”

Section: Discussionmentioning

confidence: 99%

Self-Similar Solution of Spherical Shock Wave Propagation in a Mixture of a Gas and Small Solid Particles with Increasing Energy under the Influence of Gravitational Field and Monochromatic Radiation

Sahu¹

2018

Commun. Theor. Phys.

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Similarity solution for a spherical shock wave with or without gravitational field in a dusty gas is studied under the action of monochromatic radiation. It is supposed that dusty gas be a mixture of perfect gas and micro solid particles. Equilibrium flow condition is supposed to be maintained and energy is varying which is continuously supplied by inner expanding surface. It is found that similarity solution exists under the constant initial density. The comparison between the solutions obtained in gravitating and non-gravitating medium is done. It is found that the shock strength increases with an increase in gravitational parameter or ratio of the density of solid particles to the initial density of the gas, whereas an increase in the radiation parameter has decaying effect on the shock waves.

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Collision of an interplanetary shock wave with the Earth’s bow shock. Hydrodynamic parameters and magnetic field

Cited by 17 publications

References 13 publications

Similarity solution for a spherical shock wave in a non‐ideal gas under the influence of gravitational field and monochromatic radiation with increasing energy

Similarity solution for a spherical shock wave in a non‐ideal gas under the influence of gravitational field and monochromatic radiation with increasing energy

The propagation of strong cylindrical shock wave in a rotating axisymmetric non‐ideal gas with radiation heat flux

Self-Similar Solution of Spherical Shock Wave Propagation in a Mixture of a Gas and Small Solid Particles with Increasing Energy under the Influence of Gravitational Field and Monochromatic Radiation

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