Behavior of dusty real gas on adiabatic propagation of cylindrical imploding strong shock waves

Gangwar, P. K.

doi:10.1063/1.5033168

Cited by 3 publications

(3 citation statements)

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“…Figure(11-14) represents that shock is strengthened as the density parameter (λ) increases. The similar variation of all flow variables with propagation distance have been reported by [18] for power varying initial density distribution. It may be concluded from the general observation of these figures that the consideration of non-idealness (realness) of the gas have significant role on the variation of all flow variables.…”

Section: Resultssupporting

confidence: 84%

“…[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 initial density distribution. He found that the consideration of flow behind the shock has a significant effect on the flow variables of shock propagation.…”

mentioning

confidence: 99%

“…The results accomplished are compared with those for dusty ideal gas [13] and earlier results for real dusty gas [18].…”

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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: Resultssupporting

confidence: 84%

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confidence: 99%