On the strong spherical shock waves in a two-phase gas-particle medium

TL;DR

This paper derives power series solutions for strong spherical shocks in a two-phase gas-particle medium, analyzing how distance and dust loading affect flow variables like velocity, pressure, and entropy.

Contribution

It introduces a novel application of power series solutions to model strong spherical shocks in a gas-particle mixture considering variable energy and dust loading effects.

Findings

Flow variables are significantly affected by dust loading and propagation distance.

The solutions reveal the impact of dust particles on shock wave behavior.

Flow properties such as pressure and density vary with shock strength and medium composition.

Abstract

In this paper, power series solutions for strong spherical shocks of time dependent variable energy propagating in a two-phase gas-particle medium are presented taking into consideration the power series solution technique (Sakurai in J Phys Soc Jpn 8:662-669,1953; Freeman in J Phys D Appl Phys 2(1):1697-1710,1968). Assuming the medium to be a mixture of a perfect gas and small solid particles, the power series solutions are obtained in terms of M^-2, where M is the upstream Mach number of shock. This investigation presents an overview of the effects due to an increase in (i) the propagation distance from the inner expanding surface and, (ii) the dust loading parameters on flow-field variables such as the velocity of fluid, the pressure, the density, and also on the speed of sound, the adiabatic compressibility of mixture and the change-in-entropy behind the strong spherical shock front.