Self-Similar Homothermal Flow of Self-Gravitating Gas Behind Shock Wave

Sharad,; Purohit, C

doi:10.1143/jpsj.36.288

Cited by 34 publications

(10 citation statements)

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“…The problem with the flow of a non-ideal gas is different from that of the perfect gas problem. In the latter case, similarity solution exists for initial density varying as some power of distance (Vishwakarma et al [7], Elliott [1], Christer and Helliwell [25], and Purohit [39]). But, it is not true for the problem with the flow of a non-ideal gas.…”

Section: Similarity Solutionsmentioning

confidence: 99%

Self-Similar Cylindrical Ionizing Shock Waves in a Non-Ideal Gas with Radiation Heat-Flux

Vishwakarma¹,

Singh²

2012

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Self-similar flows behind a gas-ionizing cylindrical shock wave, with radiation heat flux, in a non-ideal gas are studied. The ionizing shock is assumed to be propagating in a medium at rest with constant density permeated by an azimuthal magnetic field. The electrical conductivity of the gas is infinite behind shock and zero ahead of it. Effects of the non-idealness of the gas, the radiation flux and the rate of energy input from the inner contact surface (or piston) on the flow-field behind the shock and on the shock propagation are investigated.

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Section: Similarity Solutionsmentioning

confidence: 99%

Self-Similar Cylindrical Ionizing Shock Waves in a Non-Ideal Gas with Radiation Heat-Flux

Vishwakarma¹,

Singh²

2012

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“…[4], independently. Purohit [5] and Singh and Vishwakarma [6] have discussed homothermal flows behind spherical shock waves in a self-gravitating gas using similarity method. Kelly et al [7] have described a new code for numerical solution of three-dimensional self-gravitating hydrodynamic problems.…”

Section: Introductionmentioning

confidence: 99%

Propagation of a strong spherical shock wave in a gravitating or non-gravitating dusty gas with exponentially varying density

Nath

Vishwakarma

2016

Acta Astronautica

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“…Numerical solutions for self-similar adiabatic flows in self-gravitating gas were obtained by Sedov [1] and Carrus et al [2], independently. Purohit [3] and Singh and Vishwakarma [4] have discussed homothermal flows behind a spherical shock wave in a self-gravitating gas using similarity method. Nath et al [5] have studied the above problem assuming the flow to be adiabatic and self-similar and obtained the effects of the presence of a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Unsteady isothermal flow behind a magnetogasdynamic shock wave in a self-gravitating gas with exponentially varying density

Nath

2014

J Theor Appl Phys

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The propagation of spherical (or cylindrical) shock wave in an ideal gas with or without gravitational effects in the presence of a constant azimuthal magnetic field is investigated. Non-similarity solutions are obtained for isothermal 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 varying and obeying an exponential law. The shock wave moves with variable velocity, and the total energy of the wave is non-constant and varies with time. The effects of variation of the Alfven-Mach number, gravitational parameter and time are obtained. It is investigated that the presence of gravitational field reduces the effect of the magnetic field. Also, 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. The shock waves in conducting perfect 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 exploding wire experiments and cylindrically symmetric hypersonic flow problems associated with meteors or re-entry vehicles etc. A comparison is made between the solutions in the cases of the gravitating and the non-gravitating medium with or without magnetic field. The obtained solutions are applicable for arbitrary values of time.

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Self-Similar Homothermal Flow of Self-Gravitating Gas Behind Shock Wave

Cited by 34 publications

References 0 publications

Self-Similar Cylindrical Ionizing Shock Waves in a Non-Ideal Gas with Radiation Heat-Flux

Self-Similar Cylindrical Ionizing Shock Waves in a Non-Ideal Gas with Radiation Heat-Flux

Propagation of a strong spherical shock wave in a gravitating or non-gravitating dusty gas with exponentially varying density

Unsteady isothermal flow behind a magnetogasdynamic shock wave in a self-gravitating gas with exponentially varying density

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