  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.
