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A long cylinder of radius ro=20cm, and thermal conductivity k=3 w/mK is immersed in a fluid of convection coefficient h=30W/m2K and the unknown temperature T∞. The steady state temperature distribution in the cylinder is found to be T(r)= 300 - 2500r2, where T(r) is in Celcius and R is in meters.
Find
a. What is the rate of heat transfer to/from the cylinder
b. What is the rate of energy generation (if any) in the cylinder
c. What is the unknown fluid temperature T∞
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