Abstract: Using a framework of the radiation approximation followed by a two-term perturbation expansion for cosmic ray transport in the spherical polar coordinates (r, θ, φ) researchers identify the effect of cosmic ray radiation on shock dominated transport. When the buoyancy parameter Fr is negligible, researchers find that the cosmic ray density at shock boundary (En) decreases with increasing temperature. It is also observed that the variation of radiation parameter N in cosmic ray transport has no significant effect in the temperature distribution. Thus, even when radiation is significant, it does not really modify the temperature within the cosmic ray region. However, for increases in the density at shock boundaries say (En), the temperature distribution decreases.