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The propagation of a cylindrical shock wave in a self-gravitating, rotatingaxisymmetric dusty gas under the action of monochromatic radiation with aconstant intensity per unit area, which has variable azimuthal and axialcomponents of fluid velocity, is investigated. The gas is assumed to be greyand opaque, and the shock is assumed to be transparent. The dusty gas isconsidered as a mixture of non-ideal gas and small solid particles, in whichsolid particles are continuously distributed. To obtain some essential featuresof shock propagation, small solid particles are considered as a pseudo-fluid,and it is assumed that the equilibrium flow condition is maintained in theentire flow-field. Similarity solutions are obtained as well as the effects ofthe variation of the radiation parameter, the gravitation parameter, thenon-idealness parameter of the gas, the mass concentration of solid particlesin the mixture, the ratio of the density of solid particles to the initialdensity of the gas are worked out in detail. The similarity solution existsunder the constant initial angular velocity, and the shock strength isindependent from the radiation parameter and the gravitation parameter. It isfound that radiation parameter dominates the effect of dusty gas parameters onthe variation of radiation heat flux. The total energy of the flow-field behindthe shock front is not constant but varies as fourth power of the shock radius.

Self similar flow under the action of monochromatic radiation behind a cylindrical shock wave in a self-gravitating, rotating axisymmetric dusty gas