Strong cylindrical shocks in a rotating gas

Chaturani, P.

doi:10.1007/bf00413198

Cited by 75 publications

(19 citation statements)

References 4 publications

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“…Chaturani (1970), Ghoniem et al (1982), Levin and Skopina (2004), Nath (2010), Vishwakarma and Nath (2010) …”

Section: Fundamental Equations Andboundary Conditionsmentioning

confidence: 98%

Similarity Solution for a Cylindrical Shock Wave in a Self-gravitating, Rotating Axisymmetric Dusty Gas with Heat Conduction and Radiation Heat Flux

Bajargaan¹,

Patel²

2017

JAFM

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Similarity solutions are obtained for unsteady adiabatic propagation of a cylindrical shock wave in a self gravitating, rotating, axisymmetric dusty gas with heat conduction and radiation heat flux in which variable energy input is continuously supplied by the piston. The dusty gas is taken to be a mixture of non-ideal gas and small solid particles. Azimuthal fluid velocity and axial fluid velocity in the ambient medium are taken to be variable. The equilibrium flow conditions are assumed to be maintained. The initial density is assumed to be constant. The heat conduction is expressed in terms of Fourier's law and the radiation is taken to be of the diffusion type for an optically thick grey gas model. The thermal conductivity and the absorption coefficient are assumed to vary with temperature and density. The effects of the variation of the gravitational parameter and the heat transfer parameters on the shock strength and the flow variables such as radial velocity, azimuthal velocity, axial velocity, density, pressure, total heat flux, mass behind the shock front, azimuthal vorticity vector, axial vorticity vector, isothermal speed of sound and adiabatic compressibility are studied. It is found that the presence of gravitation effect in the medium modify the radiation and conduction effect on the flow variables.

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“…Chaturani (1970), Ghoniem et al (1982), Levin and Skopina (2004), Nath (2010), Vishwakarma and Nath (2010) …”

Section: Fundamental Equations Andboundary Conditionsmentioning

confidence: 98%

Similarity Solution for a Cylindrical Shock Wave in a Self-gravitating, Rotating Axisymmetric Dusty Gas with Heat Conduction and Radiation Heat Flux

Bajargaan¹,

Patel²

2017

JAFM

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“…Chaturani [7], Levin and Skopina [19], Vishwakarma and Nath [13,14,27], Laumbach and Probstein [23], Korobeinikov [25], Zhuravskaya and Levin [30], Nath [11,28,29])…”

Section: Fundamental Equations and Boundary Conditions-isothermal Flowmentioning

confidence: 99%

“…Thus the rotation of planets and stars significantly affects the process taking place in their outer layers; therefore question connected with the explosions in rotating gas atmospheres are of definite astrophysical interest. Chaturani [7] studied the propagation of cylindrical shock wave through a gas having solid body rotation, and obtained the solutions by a similarity method adopted by Sakurai [8]. Nath et al [9] obtained the similarity solutions for the flow behind spherical shock waves propagating in a nonuniform rotating interplanetary atmosphere with increasing energy.…”

Section: Introductionmentioning

confidence: 99%

Similarity solutions for unsteady flow behind an exponential shock in an axisymmetric rotating non-ideal gas

Nath

2015

Meccanica

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One-dimensional self-similar unsteady isothermal and adiabatic flows behind a strong exponential shock wave driven out by a cylindrical piston moving with time according to an exponential law in a rotational axisymmetric non-ideal gas is investigated. The medium is assumed to be non-ideal gas rotating about the axis of symmetry. The fluid velocities in the ambient medium are assumed to be varying with time according to an exponential law. Similarity solutions exist only when the surrounding medium is of constant density. Solutions are obtained, in both the cases, when the flow between the shock and the piston is isothermal or adiabatic by taking into account components of vorticity vector. It is found that the assumption of zero temperature gradient brings a profound change in the density and compressibility distributions as compared to that of the adiabatic case. The effect of an increase in the value of the parameter of the non-idealness of the gas is investigated. Also, a comparison between the solutions in the cases of isothermal and adiabatic flows is made. Further, it is shown that the consideration of zero temperature gradient and the effect of variation of the parameter of non-idealness of the gas decrease the shock strength and widens the disturbed region between the shock and piston. The shock waves in non-ideal gas can be important for description of shocks in supernova explosions, in the study of a flare produced shock in solar wind, central part of star burst galaxies, nuclear explosion, rupture of pressurized vessel, in the analysis of data from exploding wire experiments, and cylindrically symmetric hypersonic flow problems associated with meteors or reentry vehicles, etc. The findings of the present work provided a clear picture of whether and how the non-idealness of the gas and consideration of zero temperature gradient affect the propagation of shock and the flow behind it.

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“…Therefore, question connected with the explosions in the rotating gas atmospheres are of definite astrophysical interest. Chaturani [5] studied the propagation of cylindrical shock waves through a gas having solid body rotation and obtained the solutions by a similarity method adopted by Sakurai [6]. Nath, Ojha and Takhar [7] obtained the similarity solutions for the flow behind spherical shock waves propagating in a non-uniform rotating interplanetary atmosphere with increasing energy.…”

Section: Introductionmentioning

confidence: 99%

Ionizing Cylindrical Shock Waves in a Rotating Homogeneous Non-ideal Gas

Vishwakarma¹,

Singh²

2012

MECHANICS

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Similarity Solutions are obtained for one-dimensional adiabatic flow behind ionizing cylindrical shock wave propagating in a rotating non-ideal gas in presence of an azimuthal magnetic field. The electrical conductivity in the medium ahead of the shock is assumed to be negligible, which becomes infinitely large after passage of the shock. In order to obtain the similarity solutions, the initial density of the medium is assumed to be constant and the initial angular velocity to be obeying a power law and to be decreasing as the distance from the axis increases. The effects of an increase in the value of the index for variation of angular velocity of the ambient medium, in the value of the parameter of the non-idealness of the gas and in the strength of the ambient magnetic field on the shock propagation are investigated. It is observed that the non-idealness of the gas has decaying effect on the shock wave.

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Strong cylindrical shocks in a rotating gas

Cited by 75 publications

References 4 publications

Similarity Solution for a Cylindrical Shock Wave in a Self-gravitating, Rotating Axisymmetric Dusty Gas with Heat Conduction and Radiation Heat Flux

Similarity Solution for a Cylindrical Shock Wave in a Self-gravitating, Rotating Axisymmetric Dusty Gas with Heat Conduction and Radiation Heat Flux

Similarity solutions for unsteady flow behind an exponential shock in an axisymmetric rotating non-ideal gas

Ionizing Cylindrical Shock Waves in a Rotating Homogeneous Non-ideal Gas

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