Propagation of shock waves in a dusty gas with exponentially varying density

Vishwakarma, J. P.

doi:10.1007/s100510070238

Cited by 39 publications

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“…For a dusty gas with exponentially varying density, Vishwakarma [7] obtained a solution for the flow field caused by strong shock-wave propagation. But this solution is confined to a particular case in which the shock radius varies logarithmically in accordance with the special time dependence of the shock velocity.…”

Section: Introductionmentioning

confidence: 99%

Variable-energy Blast Waves Generated by a Piston Moving in a Dusty Gas

Gretler

Regenfelder

2005

J Eng Math

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This paper presents a similarity solution for strong blast waves of variable energy propagating in a dusty gas. It is assumed that the equilibrium-flow condition is maintained and the variable energy input is supplied by a driving piston or surface according to a time-dependent power law. Three cases have been investigated: Case I corresponds to a decelerated piston, Case II to a piston of constant velocity, and Case III to a continuously accelerated piston starting from rest. Except in the case of constant front velocity, the similarity solution is valid for adiabatic flow as long as the effect of the counter-pressure is neglected. The effects of a parameter characterizing the various energy input of the blast wave on the similarity solution have been examined. The computations have been performed for various values of mass concentration of the solid particles and for the ratio of density of solid particles to the constant initial density of gas. Tables and graphs of numerical results are presented and discussed.

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Section: Introductionmentioning

confidence: 99%

Variable-energy Blast Waves Generated by a Piston Moving in a Dusty Gas

Gretler

Regenfelder

2005

J Eng Math

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“…This method has found numerous applications 9 , eg, the description of the propagation process of converging shock waves through a channel of variable section 19 in a dusty gas with variable density 20 and in a solid 21 and the analysis of imploding detonation waves 22 . Although the Whitham's rule is approximate, but it agrees well with exact solutions and with experimental results [22][23][24] .…”

Section: Introductionmentioning

confidence: 99%

Converging Cylindrical Shock Waves in a Nonideal Gas With an Axial Magnetic Field

Vishwakarma¹,

Pandey²

2006

DSJ

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This paper analyses the propagation of converging cylindrical shock waves in a nonideal gas, in the presence of an axial magnetic field. Chester-Chisnell-Whitham's method has been employed to determine the shock velocity and the other flow-variables just behind the shock in the cases, when (i) the gas is weakly ionised before and behind the shock front, (ii) the gas is strongly ionised before and behind the shock front, and (iii) nonionised gas undergoes intense ionisation as a result of the passage of the shock. The effects of the nonidealness of the gas, the conductivity of the gas, and the axial magnetic field have been investigated. It is found that in the case (i), an increase in the value of parameter ( ) characterising the nonidealness of the gas accelerates the convergence of the shock. In the case (ii), the shock speed and pressure behind the shock increase very fast as the axis is approached; and this increase occurs earlier if the strength of the initial magnetic field is increased. In the case (iii), for smaller values of the initial magnetic field, the shock speed, and pressure behind the shock decrease very fast after attaining a maximum; and for higher values of the initial magnetic field, the tendency of decrease appears from the beginning. This shows that the magnetic field has damping effect on the shock propagation. In the case (iii), it was also found that the growth of the shock in the initial phase and decay in the last phase were faster when it was converging in a nonideal gas in comparison with that in a perfect gas. Further, it has been shown that the gas-ionising nature of the shock has damping effect on its convergence.

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“…Many scientists (Sedov . Vishwakarma [7] generalized Ray and Bhowmik[8] solution in gas to the mixture of gas and small solid particles with exponentially varying density, using a nonsimilarity method. He found that the presence of small dust particles in the gaseous medium has significant effects on the variation of flow variables.…”

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Cylindrical Imploding Strong Shock Wave in Uniform Real Dusty Gas

Prakash¹

2017

IJRASET

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Chester-Chisnell-Whitham method has been used to study the behavior of dusty real gas on adiabatic propagation of cylindrical imploding strong shock waves. It is assumed that the dusty gas is the mixture of a real gas and a large number of small spherical solid particles of uniform size. Neglecting the effect of overtaking disturbances, the analytical expressions for shock strength and shock velocity immediately behind the shock have been derived for uniform initial density distribution. The expressions for the pressure and particle velocity have also been obtained. The variation of the flow variables have been calculated numerically and discussed through graphs. Finally the results accomplished here are compared with earlier results as well as those for ideal dusty gas. Keywords: CCW, dusty, imploding, real gas, shock. I.INTRODUCTION The study of the shock wave propagation in a dusty gas has received considerable attention due to its application to space science, bomb blast, lunar ash flow, coal mine explosions, nozzle flow, missiles and other engineering problems. Many scientists (Sedov . Vishwakarma [7] generalized Ray and Bhowmik[8] solution in gas to the mixture of gas and small solid particles with exponentially varying density, using a nonsimilarity method. He found that the presence of small dust particles in the gaseous medium has significant effects on the variation of flow variables. The problem of propagation of shock wave in dusty ideal gas have been tackled by Vishwakarma[9] using similarity method. Vishwakrma and Pandey[10] have studied one-dimensional unsteady self-similar adiabatic flow of a dusty ideal gas behind a spherical shock wave with time-dependent energy input. Motion of shock wave in a mixture of ideal gas and small dust particles with radiation heat flux and exponentially varying density has been studied by Vishwakarma et. al. [11]. Yadav et al. [12] studied the propagation of weak cylindrical shock in the mixture of ideal gas and dust particle in presence of constant axial magnetic field. Singh and Gogoi [13] have found similarity solution for the propagation of spherical shock wave in the mixture of non-ideal gas and small solid dust particles. They use the equation of state for non-ideal gases simplified by Anisimov and Spiner [14], which describes the behavior of non-idealness of gas on the problem of strong shock explosion. The aim of the present study is to investigate the motion of cylindrical imploding shock in a real dusty gas having uniform initial density distribution by using CCW ) method, without considering the effect of overtaking disturbances. It is assumed that the real (non-ideal) dusty gas is the mixture of real gas and a large number of small spherical solid particles of uniform size. The particles are inert and uniformly distributed in the gas. Initial volume fraction of the solid particles is also assumed constant in this particular study. The particles do not interact with each other therefore their thermal motion is nigligble. Initial density of the m...

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Propagation of shock waves in a dusty gas with exponentially varying density

Cited by 39 publications

References 0 publications

Variable-energy Blast Waves Generated by a Piston Moving in a Dusty Gas

Variable-energy Blast Waves Generated by a Piston Moving in a Dusty Gas

Converging Cylindrical Shock Waves in a Nonideal Gas With an Axial Magnetic Field

Cylindrical Imploding Strong Shock Wave in Uniform Real Dusty Gas

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