On dynamics of imploding shock waves in a mixture of gas and dust
  particles
  In this paper, the generalized analytical solutions for one-dimensional
adiabatic flow behind the imploding shock waves propagating in a dusty gas are
obtained using the geometrical shock dynamics theory. The dusty gas is assumed
to be a mixture of a perfect gas and spherically small solid particles, in
which solid particles are continuously distributed. Shock jump relations given
by Anand for a dusty gas are taken into consideration to explore the effects
due to an increase in (i) the propagation distance from the centre of
convergence, (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-entropy
across the shock front. The results provided a clear picture of whether and how
the presence of solid particles influences the flow field behind the imploding
shock front.
