Unsteady Flow Behind an MHD Exponential Shock Wave in a Rotational Axisymmetric Non-ideal Gas with Conductive and Radiative Heat Fluxes

Sahu, Praveen Kumar

doi:10.1007/978-3-030-42363-6_121

Cited by 8 publications

(2 citation statements)

References 26 publications

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“…Our considered problem consists of highly non-linear system of hyperbolic partial differential (17)(18)(19)(20) for adiabatic flow and (18,20,(51)(52) for isothermal flow. In order to find the solution of the problem under consideration, we employed the selfsimilarity method to transform these partial differential equations into ordinary differential (42)(43)(44)(45) for adiabatic flow, and (60-62) for isothermal flow with the boundary conditions (47) and (50). The self-similar solution which describes the intermediate asymptotics of a problem: hold when the precise initial conditions are no longer important, but before the system has reached its final steady state.…”

Section: Resultsmentioning

confidence: 99%

“…With the inclusion of the magnetic field, a shock wave may describe important phenomena encountered in astrophysics and supernova explosions. The inclusion of magnetic field has many applications in oceanography, aerodynamics and atmospheric sciences (see [41][42][43][44]). For a detailed review of the recent developments in the statistical theory of magnetohydrodynamic (MHD) turbulence see Verma [45].…”

Section: Introductionmentioning

confidence: 99%

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Shock Wave Driven Out by a Piston in a Mixture of a Non-ideal Gas and Small Solid Particles Under the Influence of Azimuthal or Axial Magnetic Field

Sahu¹

2020

Braz J Phys

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One-dimensional self-similar unsteady flows behind a spherical or cylindrical shock wave driven out by a piston moving with time according to a power law in a dusty gas is investigated. The medium is assumed to be the mixture of small solid particles of micro-size and a non-ideal gas. The solid particles are uniformly distributed in the mixture, and the shock wave is assumed to be driven by the inner surface (piston). It is assumed that the equilibrium flow-conditions are maintained and the moving piston continuously supplies the variable energy input. Similarity solutions exist only when the surrounding medium is of constant density. Solutions are obtained, in both cases, when the flow between the shock and the piston is isothermal or adiabatic. The shock waves in non-ideal dusty gas can be important for the description of shocks in supernova explosions, in the study of a flare produced shock in the solar wind, the central part of starburst galaxies, nuclear explosion, rupture of the pressurized vessel, in the analysis of data from exploding wire experiments, and cylindrically symmetric hypersonic flow problems associated with meteors or re-entry vehicles, etc. The findings of the present work provided a clear picture of whether and how the non-idealness of the gas and the presence of the magnetic field affect the propagation of shock and the flow behind it. It is interesting to note that in the presence of azimuthal magnetic field, the pressure and density vanish at the piston and hence a vacuum is formed at the center of symmetry for both the isothermal and adiabatic flows, which is in excellent agreement with the laboratory condition to produce the shock wave.

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