Motion of an almost ideal gas in the presence of a strong point explosion

Анисимов, С. И.; Spiner, O.M.

doi:10.1016/0021-8928(72)90144-x

Cited by 103 publications

(58 citation statements)

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“…It is assumed that dusty real gas to be a mixture of a real (non-ideal) gas and small spherical solid particles. The equation of state of the pseudo-fluid of solid particles in the medium is simply [14], [15] sp constant  …”

Section: Basic Equationsmentioning

confidence: 99%

“…Using CCW method, Yadav et al [13] have explored the problem of propagation of weak cylindrical shock in the mixture of ideal gas and dust particle in presence of constant axial magnetic field. Singh and Gogoi [14] have use the equation of state for non-ideal gases simplified by Anisimov and Spiner [15], to study the propagation of spherical shock wave in the mixture of non-ideal gas and dust particles by similarity solutions. Recently, the effect of self-gravitation on the propagation of cylindrical imploding strong shock wave in dusty ideal gas is analysed by using CCW method by Deepak et.…”

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confidence: 99%

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Analysis of Cylindrical Imploding Shock Wave in Dusty Real Gas with Exponential Varying Density

Gangwar¹

2017

IJRASET

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In this paper, the effect of overtaking disturbances has been estimated on the propagation of cylindrical imploding strong shock wave in a real dusty gas. 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. Considering the exponential varying initial density distribution, analytical expressions for shock strength and shock velocity immediately behind the shock have been derived for freely as well as under the influence of overtaking waves. The modified expressions for the non-dimensional pressure and flow velocity have also been obtained. The variations of all the flow variables have been computed and discussed through graphs. It is observed that the presence of dust particles has a significant role in the shock wave propagation and the shock is strengthened, as the non-idealness (realness) of the gases mixture increases. Finally the results obtained here are compared with earlier results as well as those for ideal dusty gas having uniform initial density distribution. Keywords: Effect of overtaking disturbances, CCW, dusty, imploding, real gas, shock. I. INTRODUCTIONPropagation of shock wave 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. Severalauthors (Carrier solution in dusty ideal gashaving exponentially varying initial density distribution, using a non-similarity method and obtained that the presence of small spherical dust particles in the gaseous medium has significant effects on the variation of shock strength and other flow variables. Vishwakarma and Nath [11] have found the self-similar solution of the problem of exponential shock in a dusty gas. Propagation of shock wave in a mixture of ideal gas and small dust particles with radiation heat flux and exponentially varying density has been investigated by Vishwakarmaet. al.[12] using similarity method. Using CCW method, Yadav et al. [13] have explored the problem of propagation of weak cylindrical shock in the mixture of ideal gas and dust particle in presence of constant axial magnetic field. Singh and Gogoi [14] have use the equation of state for non-ideal gases simplified by Anisimov and Spiner [15], to study the propagation of spherical shock wave in the mixture of non-ideal gas and dust particles by similarity solutions. Recently, the effect of self-gravitation on the propagation of cylindrical imploding strong shock wave in dusty ideal gas is analysed by using CCW method by Deepak et. al.[16]. Neglecting the effect of overtaking disturbances, Prakashet. al. [17] have investigated the problem of shock wave propagation in a real gas having uniform initial density distribution. Very recently, Gangwar [18] has studied theoretically the effect of overtaking disturbances on adiabatic propagation of cylindrical strong shock waves in mixture of small spherical inert dust particles and a real gas having power varying i...

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Section: Basic Equationsmentioning

confidence: 99%

mentioning

confidence: 99%

Analysis of Cylindrical Imploding Shock Wave in Dusty Real Gas with Exponential Varying Density

Gangwar¹

2017

IJRASET

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“…, being the internal volume of the molecules, and therefore it is sufficient to consider the equation of state in the form (Anisimov and Spiner, 1972;Singh and Singh, 1998;Ojha, 2002) …”

Section: Equation Of Statementioning

confidence: 99%

Jump relations across a shock in non-ideal gas flow

Anand

2012

Astrophys Space Sci

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Generalized forms of jump relations are obtained for one dimensional shock waves propagating in a non-ideal gas which reduce to Rankine-Hugoniot conditions for shocks in idea gas when non-idealness parameter becomes zero. The equation of state for non-ideal gas is considered as given by Landau and Lifshitz. The jump relations for pressure, density, temperature, particle velocity, and change in entropy across the shock are derived in terms of upstream Mach number. Finally, the useful forms of the shock jump relations for weak and strong shocks, respectively, are obtained in terms of the non-idealness parameter. It is observed that the shock waves may arise in flow of real fluids where upstream Mach number is less than unity.

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“…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.…”

mentioning

confidence: 99%

“…It is assumed that the medium (dusty real gas) to be a mixture of a real (non-ideal) gas and small spherical solid particles. The equation of state of the pseudo-fluid of solid particles in the mixture is simply [14], [ 21] sp constant   (4) where, sp is the species density of solid particles.…”

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confidence: 99%

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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Motion of an almost ideal gas in the presence of a strong point explosion

Cited by 103 publications

References 2 publications

Analysis of Cylindrical Imploding Shock Wave in Dusty Real Gas with Exponential Varying Density

Analysis of Cylindrical Imploding Shock Wave in Dusty Real Gas with Exponential Varying Density

Jump relations across a shock in non-ideal gas flow

Cylindrical Imploding Strong Shock Wave in Uniform Real Dusty Gas

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