To enhance heat transfer from a silicon chip, a copper pin fin is brazed to the surface of the chip. The pin length and diameter are L = 12 mm and D = 2 mm, respectively, and atmospheric air at V = 10 m/s and T[infinity] = 300 K is in cross flow over the pin. The surface of the chip, and hence the base of the pin, are maintained at a temperature of Tb = 350 K. (a) Assuming the chip to have a negligible effect on flow over the pin, what is the average convection coefficient for the surface of the pin? (b) Neglecting radiation and assuming the convection coefficient at the pin tip to equal that calculated in part (a), determine the pin heat transfer rate. (c) Plot the effect of increasing velocity (10 ≤ V ≤ 40 m/s) and on the total rate of heat transfer from the chip. (d) Calculate the drag force of the cylinder.