Question: a a Two very long fins with circular cross sections have the same length. The fin 1 is made of aluminum and has a thermal

 a a Two very long fins with circular cross sections have

a a Two very long fins with circular cross sections have the same length. The fin 1 is made of aluminum and has a thermal conductivity ku = 200 W/m-K, but the thermal conductivity of fin 2, kz, is not known. To determine the thermal conductivity of fin 2, both fins at one end are thermally attached to a metal surface with a base temperature of To. Both fins are losing heat by convection, with a convection heat transfer coefficient h into the ambient air at Too. The surface temperature of each fin is measured at various distances from the hot base surface. The measurements reveal that the temperature of fin 1 at X = 40 cm from the base is the same as that of the fin 2 at x2 = 20 cm from the base. Determine the thermal conductivity kz of fin 2. a Diameter of the fin 2 is twice the diameter of fin 1. (30 points) by = 200 W/m-K Radi 1. X = 40 cm Rad 2 13= 20 cm

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