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An electronic circuit is designed to be cooled by placing long cylindrical fins on the surface. Each fin has a diameter of 3.4 mm and is made of a material of conductivity 550 W/m-K. Under standard operating conditions with ambient air conditions at 28°C, the circuit is deigned to operate at 55°C, (i.e. the fin base temperature). Above this circuit temperature, the system will not perform in an optimal manner. Each circuit has a square-shaped surface area of 19 cm with 22 fins attached to it. For the circuit to maintain optimal operating conditions, a fan blowing air across the fins establishes an average coefficient of 570 W/m2.K. For your base analysis, assume no heat loss from the exposed base of the circuit. Under these conditions... a. What is the average heat transfer coefficient that will accomplish the required cooling under standard operating conditions? (Ans in W/m®-K) b. At what location along the fin will the temperature of the fin have fallen to half of the overall temperature difference, i.e. where T = T, -0.5(T.-T.)? (Ans in mm c. What is the axial heat rate in the fin at 11/2? (Ans in watts) d. What is the convective heat flux from the surface of the fin at 11/2? (Ans in kW/mm) e. What is the average efficiency of each fin? (Ans as a fraction - not percent) f. What is the average effectiveness of each fin? g. How much heat is removed by the array of fins? (Ans in watts) h. What is the average effectiveness of the array of fins? Assume the same convection coeffient of the circuit surface if no fins were present.