The addition of aluminum fins (k = 237 W/m K) has been suggested to increase the

Question

The addition of aluminum fins (k = 237 W/m K) has been suggested to increase the rate of heat dissipation from one side of an electronic device 1 m wide and 1 m tall. The fins are to be rectangular in cross section, 2.5 cm long and 0.25 cm thick, as shown below. There are to be 100 fins per meter. The convection heat transfer coefficient, both for the wall and the fins, is estimated to be 35 W/m2 K. With this information determine the percent increase in the rate of heat transfer of the finned wall compared to the bare wall.

Explanation / Answer

your answer is for the convective heat transfer equation is Q=U.A.LMTD Q is heat transfer u is heat transfer coefficient A is surface area LMTD is temperature dufference for bare plate Q1=U.A1.LMTD A 1= 1*1=1m^2 Q1=35*1*LMTD for fined surface surface area is A2= (fin length* widht) + (fin thickness *width)+ (fin thickness*length) =(2.5*100)+(0.25*2.5)+(0.25*100) =250025.625 cm^2 =25.0025 m^2 Q2=U.A2.LMTD Q2=35*25*LMTD now Q2/Q1=25 which mean by using fin heat transfer increases 25%...

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