Uniform internal heat generation at  qË™â¢â€‰= 2.00 × 107W/m3 is occurring in a cylindrical nuclear reactor fuelrod of 50-mm diameter, and under steady-state conditions thetemperature distribution is of the form T(r)=a+br^2, where T is indegrees Celsius and r is in meters, while a= 800 °C and b=-4.167 × 105 °C/m2. The fuel rod propertiesare k= 30 W/m·K, Ï= 1100 kg/m3, and cp= 800 J/kg·K.
Please write legible.
Find the steady state temperature gradient, dâ¢T/dâ¢r, at theouter surface of the rod, in °C/m.
What is the steady state rate of heat transfer at the outersurface, in W/m?
Immediately after the sudden increase in reactor power level (att= 0 sec), what is the temperature at the centerline?
Immediately after the sudden increase in reactor power level (att= 0 sec), what is the time rate of temperature change, dâ¢T/dâ¢t, atthe centerline, in °C/s?
