01. Temperature Profile of Nuclear Fuel Rod (25 marks) Fission heat generated in nuclear fuel rod is transferred to the coolant by Fourier heat conduction. (b). Set up representative physical model for the heat transfer system (4 marks). Assuming instantaneous energy balance between heat generated and heat conducted to the coolant over an incremental element, formulate the mathematical expression governing radial heat conduction in the rod (5 marks). (c). (d). Solve the model equation for radial temperature profile of the rod (4 marks). Selecting appropriate values of design parameters for fuel rod dimensions, fission heat generated, rod surface-coolant temperature and thermal conductivity, estimate the maximum temperature in the rod (5 marks). (e). Conduct sensitivity analysis of the key variables or parameters controlling the design of a thin cylindrical fuel rod (3 marks). (f). (g). Calculate the quantity of heat given off to the environment by the rod (2 marks). Plot the radial temperature profile (2 marks)