A plain carbon steel ball 2 mm in diameter is heated to 1200 Kin an oven and then cooled slowly in ambient air at 300 K. Theconvection heat transfer coefficient between air and this steelball is 20 W / (m2 * K). You can find the density,specific heat and thermal conductivity from the property tablesattached in text book with reasonable assumptions. Please derive anequation estimating the changes of the temperature of this ballwith time, and the time needed for this steel ball to be cooled to400 K with the radiation heat loss ignored. Please comments if theignorance of radiation heat loss in this question in reasonable bychecking the possible contribution of radiation to heat loss atthree temperature points.
