This paper deals with the problem of heat transfer in fully developed turbulent flow with uniform internal heat generation in a concentric annulus under conditions of uniform but different heat fluxes at the two wall surfaces. The Nusselt numbers at each wall surface are calculated by analyzing the radial distribution of the fluid temperature. We further derive approximate equations, which are found to represent very well the analytical results. The Nusselt numbers vary with the ratios of the radii of annular space as well as of the wall heat fluxes, as also with internal that generation. These predictions agree well with available experimental data for various fluids.