An integrated circuit, with dimensions 3 cm times 3 cm, dissipates q = 5 W of he

Question

An integrated circuit, with dimensions 3 cm times 3 cm, dissipates q = 5 W of heat to surrounding air at T infin = 25 degrees C. The heat transfer coefficient is h = 20 W/m2 middot K. Calculate the surface temperature of the circuit if no fins are present. Based on the result of your answer, is it accurate to assume that convection is the sole heat transfer mechanism from the circuit? To enhance heat removal from the circuit, rectangular fins of length L = 2 cm, thickness t = 0.1 cm, and width w = 3 cm are attached to the surface. The fins are made from aluminum (k = 200 W/m middot K). If the maximum allowable surface temperature of the circuit is TB = 75 degrees C, calculate the required number of fins on the surface.

Explanation / Answer

1)ha(t-ts)=5

t=302.77C

some of the heat transfer may also be due to radiation

2)m=sqrt(hp/kac)

m=14.37

heat transfer through a fin=sqrt(hpkac)(t-ts)tanhml

l=l+k=2.0483m

heat transfer through each fin is approx 4.3

so we need to keep 1.15 or 2 fins

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