I think in order to model this you need to find out the body surface of a typical bull, as well as its body temperature. You then need to find the emissivity value of its fur/skin and then you can do a simple heat radiation calculation.
emissivity for a cow 0.98 off the 1000 + measurements on large animals 450-550 Wm-2 is the range of longwave heat loss from a species in summer conditions with summer insulation 0.2 - 0.05 °Cm2W-1
but they don't lose it all through heat radiation (what do you mean exactly by this word? when you say "heat radiation" i suppose you only talk about radiative heat transfer, but there is also convection etc), but a part of the energy from food goes into a variety of chemical reactions inside the body