1122) Slow below are several as where modele and compression effect (16) Case the adulterede alpetele a dispod in fine sold at the persone of the pille surface. T. temperature away from the potabile in the wild is T. The police uniformeler. pe Write at the governing differential to the wat Sate the day and >> (12) A macro length La Reina de ro's temperature and for the day of the pebble testes formatic health (2) What must be for the heat ander confirm the fat the face to quite the bulle 3pt) Write the evening differential for the ce cp) State why is safe to me that the border 1) (22 pts) Shown below are several cases where steady state is assumed (neglect viscous dissipation and compression effects). a) (10 pts) Consider the radial heat transfer outside a nuclear pebble (of radius R) that is trapped in an infinite solid matrix. The temperature of the pebble surface is, T., and the fluid's temperature away from the pebble in the solid matrix is T... The nuclear pebble generates a uniform volumetric energy source, 0 [J/m's). i. (2 pts) Sketch the above nuclear pebble including all details needed to solve for partii and iii below. ii. (3 pts) Write out the governing differential equation for the heat transfer in the infinite solid matrix iii. (5pts) State the boundary conditions. b) (12 pts) A nuclear rod of length L and radius R is found in a fluid tank that maintains the rod's surface temperature at a constant bulk fluid temperature. If the nuclear decay of the pebble generates a uniform volumetric heat rate, [J/m's), i) (2 pts) Write out what must be true for the heat transfer coefficient, h, for the fluid at the rod surface to acquire the bulk fluid temperature. Hint*: h ? h ii) (3 pts) Write out the governing differential equation for the radial H.T. inside the nuclear rod. iii) (2 pts) State why it is safe to assume that the heat transfer is only a radial H.T