A stainless steel tube of 1 cm outer diameter and 1mm wall thickness receives a uniform radiative heat flux of 100 W/cm^2 from a high temperature plasma over 180 degrees of its outer circumference: the remaining 180 degrees is insulated. Water at 300K flows through the tube, and the inside heat transfer coefficient is 1000 W/m^2 K.
(a) Determine the wall temperature distribution around the tube.
(b) If there is also a volumetric heat source of 50 W/cm^3 in the tube wall due to neutron absorption find the new temperature distribution.