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In this paper, the generalized analytical solutions for one-dimensionaladiabatic flow behind the imploding shock waves propagating in a dusty gas areobtained using the geometrical shock dynamics theory. The dusty gas is assumedto be a mixture of a perfect gas and spherically small solid particles, inwhich solid particles are continuously distributed. Shock jump relations givenby Anand for a dusty gas are taken into consideration to explore the effectsdue to an increase in (i) the propagation distance from the centre ofconvergence, (ii) the mass fraction of solid particles in the mixture and (iii)the ratio of the density of solid particles to the initial density of the gas,on the shock velocity, pressure, temperature, density, velocity of mixture,speed of sound, adiabatic compressibility of mixture and the change-in-entropyacross the shock front. The results provided a clear picture of whether and howthe presence of solid particles influences the flow field behind the implodingshock front.

On dynamics of imploding shock waves in a mixture of gas and dust particles