Radioactive wastes (k_rw = 20 W/m K) are stored in a spherical, stainless steel (k_ss = 15 W/m K) container of inner and outer radii equal to r_i = 0.6 m and r_0 = 0.7 m. Heat is generated volumetrically within the wastes at a uniform rate of q = 10^5 W/m^3, and the outer surface of the container is exposed to a water flow for which he = 1000 W/m^2 K and T_infinity = 25 degrees C.
Evaluate the steady-state inner surface temperature, T_s, o. Evaluate the steady-state inner surface temperature, T_s, i.
Obtain an expression for the temperature distribution, T(r), in the radioactive wastes. Express your result in terms of r_i, T_s, i, k_rw, and q.
Evaluate i temperature at r = 0.