Uniform internal heat generation at   3.50 × 107 W/m3 is occurring in a cylindrical nuclear reactor fuel rod of 40-mm diameter, and under steady-state conditions the temperature distribution is of the form , where is in degrees Celsius and r is in meters, while 800 °C and -2.917 × 105 °C/m2. The fuel rod properties are 30 W/m·K, 1100 kg/m3, and 800 J/kg·K. 1. Find the steady state temperature gradient at the outer surface of the rod, in °C/m. eC/m dr
2. What is the steady state rate of heat transfer at the outer surface, in W/m? W/m
3. What is the steady state rate of heat transfer at the centerline, in W/m? q(0)= W/m Step 4 =0 sec),
4. What is the temperature at the centerline, in °C?