  The propagation of a cylindrical shock wave in a self-gravitating, rotating
axisymmetric dusty gas under the action of monochromatic radiation with a
constant intensity per unit area, which has variable azimuthal and axial
components of fluid velocity, is investigated. The gas is assumed to be grey
and opaque, and the shock is assumed to be transparent. The dusty gas is
considered as a mixture of non-ideal gas and small solid particles, in which
solid particles are continuously distributed. To obtain some essential features
of shock propagation, small solid particles are considered as a pseudo-fluid,
and it is assumed that the equilibrium flow condition is maintained in the
entire flow-field. Similarity solutions are obtained as well as the effects of
the variation of the radiation parameter, the gravitation parameter, the
non-idealness parameter of the gas, the mass concentration of solid particles
in the mixture, the ratio of the density of solid particles to the initial
density of the gas are worked out in detail. The similarity solution exists
under the constant initial angular velocity, and the shock strength is
independent from the radiation parameter and the gravitation parameter. It is
found that radiation parameter dominates the effect of dusty gas parameters on
the variation of radiation heat flux. The total energy of the flow-field behind
the shock front is not constant but varies as fourth power of the shock radius.
