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Problem 2. (20 pts) As shown in the figure, uniform generation occurs inside the spherical core with a radius n due to reactive heating at a rate of q 10 W/m3. The thermal conductivity of the reactive material is 20 Wm. K. The spherical shell 1Sr is made of stainless steel (s.s.) with a thermal conductivity k2 -15 W/m K. Given 0.5 m and k2 72=0.6 m, water flows outside to cool the s.s. shell at To-25°C and h = 1000 Whữ . K. Assume a steady state has been achieved and make other necessary assumptions. (Note: The volume of a sphere of radius is V = 촉ær3 ; and the surface area of a sphere is 4π,2 .) 1S (i) Find the temperature at the outer radius r , T =T(n) (ii) Find the temperature at the inner radius of the s. s. shell ri , Tİ-I,(n) (iii) Express the temperature distribution inside the sphere T(r), 0SrSn, and determine the center temperature: Tc -T(0) (iv) Find the heat flux distributions q: (r) in both the core (r < n) and the shell <r <

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