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Converging Cylindrical Detonation Waves In An Ideal Gas With An Azimuthal Magnetic Field

Abstract

This paper analyses the propagation of converging cylindrical detonation waves in an ideal gas with varying initial density and varying azimuthal magnetic field. The Chester-Chisnell-Whitham (CCW) method was employed to determine the detonation front velocity and the other flow-variables just be- hind the shock in the case when (i) the gas is weakly ionized before and behind the detonation front, (ii) the gas is strongly ionized before and behind the detonation front and (iii) non-ionized (or weakly ionized)gas undergoes intense ionization as a result of the passage of the detonation front. It is investigated that in case (i) an increase in the value of the strength of initial magnetic field (M−2cj) shows almost negligible effect on the convergence of the detonation front and the pressure behind it, while an increase in the value of ratio of specific heats of the gas (γ), increases the velocity of detonation front and the pressure behind it near the axis. A decrease in the value of index for variable density α, accelerates the convergence of front and increases pressure behind it. In the case (ii) on increasing (M−2cj), when α = 0, the front velocity near the axis and the pressure behind it decrease. A decrease in the value of α increases the velocity of the detonation front and the pressure behind it. An increase in the value of γ in non-magnetic case, rapidly increases the velocity of detonation front and the pressure behind it. In the case (iii), the variation of M−2cj and α, show similar behaviour as in case (ii), but an increase in the value of γ rapidly increases the pressure behind the detonation front.

Jagadamba Prasad Vishwakarma, and Rajendra Kumar Srivastava

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