used to make the fins, 2) the number of fins in the array, and 3) the heat transfer rate from the array.
Solution:
1) To determine the material used to make the fins, we need to calculate the thermal conductivity, k, of the material. The thermal conductivity can be calculated using the formula:
k = (h * Ab,c) / (Af * εf)
Substituting the given values:
k = (100 W/K∙m * 0.5 cm2) / (20 cm2 * 32)
2) To find the number of fins in the array, we can use the formula:
N = At / Af
Substituting the given values:
N = 220 cm2 / 20 cm2
3) To calculate the heat transfer rate from the array, we can use the formula:
Q = N * h * Af * θb
Substituting the given values:
Q = N * 100 W/K∙m * 20 cm2 * 50 K