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

Vishwakarma, J. P.; Singh, Mahendra

doi:10.5923/j.am.20120201.01

Cited by 17 publications

(13 citation statements)

References 36 publications

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“…The set of differential equations (3.12)-(3.16) are numerically integrated with the boundary conditions (3.17)-(3.21) to obtain the non-dimensional variables of the flow-field V, R, H, P and J against the similarity variable l by using the Runge-Kutta method of order four, for the values (Khudyakov[8], Nath [19], Nath and Takhar [10], Ranga Rao and Purohit [24], Singh et. al [25], Vishwakarma and Singh [26] 0.05, 0.1. The case = b 0 corresponds to the perfect gas case (Nath[19]).…”

Section: Resultsmentioning

confidence: 95%

Self-Similar Flow under the Action of Monochromatic Radiation Behind a Cylindrical MHD Shock in a Non-Ideal Gas

Vishwakarma¹,

Pandey²

2012

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Similarity solutions are obtained for one-dimensional flow under the action of monochromatic radiation behind a cylindrical magnetogasdynamic shock wave propagating in a non-ideal gas in presence of an axial magnetic field. The initial density of the medium and initial magnetic field are assumed to be constant. It is investigated that the presence of the magnetic field or the non-idealness of the gas decays the shock wave, and when the initial magnetic field is strong the non-idealness of the gas affects the velocity and pressure profiles significantly. Also, it is observed that the flow-variables behind the shock are affected significantly, by an increase in the parameter of radiation, when the initial magnetic field is strong. It is, therefore, inferred that the effect of the non-idealness of the gas and of the monochromatic radiation on the shock propagation become more significant when the strength of the initial magnetic field is increased.

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Section: Resultsmentioning

confidence: 95%

Self-Similar Flow under the Action of Monochromatic Radiation Behind a Cylindrical MHD Shock in a Non-Ideal Gas

Vishwakarma¹,

Pandey²

2012

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“…We have calculated the values of flow variables from equations (29), (30), (36) -(38) and the results are shown in figures 1, 2 and Table 1. The values of the physical parameters for calculations are taken to be = 4/3,5/3; −2 = 0.3,0.35; and = 0,0.05,0.1; ( [14,15,20,[26][27][28][29][30][31][32][33]). For fully ionized gas = 5/3 and for relativistic gases = 4/3.…”

Section: Resultsmentioning

confidence: 99%

An exact solution for the propagation of cylindrical shock waves in a rotational axisymmetric non-ideal gas with axial magnetic field and radiative heat flux

Nath¹,

Sahu²,

Chaurasia³

2018

MMC_B

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Propagation of cylindrical shock wave in a rotational axisymmetric non-ideal gas with axial magnetic field, radiation heat flux and the components of vorticity vectors are investigated. The axial magnetic field and the fluid velocity in the ambient medium are assumed to vary and obey the power laws. An exact similarity solution is obtained. The total energy of the shock wave is not constant but increases with time. The effects of variation of parameter of non-idealness of the gas, the Alfven-Mach number and the adiabatic exponent of the gas are investigated. It is shown that an increase in the non-idealness of the gas or the ratio of specific heats of the gas or strength of initial magnetic field decreases the shock strength but increases the shock velocity. Further it is observed an increase in the value of parameter of non-idealness of the gas and adiabatic exponent of the gas have same behavior on the flow variables and the shock strength.

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“…The solution of the differential equations (3.44) to (3.48) with boundary conditions (3.37) to (3.42) depends on five constant parameters g [24], Vishwakarma and Yadav [26], Vishwakarma and Singh [27]). For a fully ionized gas g = 5 3 , and therefore it is applicable to stellar medium.…”

Section: Resultsmentioning

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

Cited by 17 publications

References 36 publications

Self-Similar Flow under the Action of Monochromatic Radiation Behind a Cylindrical MHD Shock in a Non-Ideal Gas

Self-Similar Flow under the Action of Monochromatic Radiation Behind a Cylindrical MHD Shock in a Non-Ideal Gas

An exact solution for the propagation of cylindrical shock waves in a rotational axisymmetric non-ideal gas with axial magnetic field and radiative heat flux

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

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