We present the effects of thermal radiation upon the classical self-similar solution of the collapse of cylindrical shock waves in inviscid, ideal gas with a constant ratio of specific heats. The gas is considered to be optically thick and the shock front to be opaque. The ambient gas ahead of the shock front is assumed to be uniform and at rest and its counterpressure concerning the motion of the shock front is neglected. In order to investigate the deviation from the classical adiabatic solution caused only by a small amount of radiation, the shock front in the nonadiabatic case fulfills the same conditions as the shock front in the adiabatic case, except for the fact that in the nonadiabatic case heat is released at the shock front. For different adiabatic exponents self-similar solutions have been obtained determining the eigenvalues and the profiles of the flow variables. The influence of radiation is shown through variation of the mean free path of radiation.

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