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 part ii 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