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Q2: The steady state temperature distribution in a one-dimensional wall of thermal conductivity 50 W/m.K and thickness 60 mm is observed to be T(C) = a + bx2, where a = 200C, b = -2000C/m2 and x is in meters.
- What is the heat generation rate in the wall?
- Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate?
Q3: Uniform internal heat generation at 5 X 107 W/m3 is occurring in a cylindrical nuclear reactor fuel rod of 50-mm diameter and under steady-state conditions the temperature distribution is of the form , where T in C and r is in meters, while a = 800C and b = -4.167 X 105 C/W. the fuel rod properties are k = 30 W/m. K, = 1100 kg/m3 and cp = 800 J/kg. K. What is the rate of heat transfer per unit length of the rod at r = 0 (the centerline) and at r = 25 mm (the surface)?