A diffusive model of the radial transport of thermal radiation out of
a cylindrical core of fissioning plasma is presented. The diffusion ap
proximation is appropriate because the opacity of uranium is very high
at the temperatures of interest (>3000 K). We make one additional sim
plification of assuming constant opacity throughout the fuel. This all
ows the complete set of solutions to be expressed as a single function
. This function is approximated analytically to facilitate parametric
studies of the performance of a test module of the nuclear light bulb
gas-core nuclear-rocket-engine concept, in the Annular Core Research R
eactor at Sandia National Laboratories. Our findings indicate that rad
iation temperatures in range of 4000-6000 K are attainable, which is s
ufficient to test the high specific impulse potential (approximately 2
000 s) of this concept.