Write a computer program to study and optimize an array of pin fins with diamete

Question

Write a computer program to study and optimize an array of pin fins with diameter Din and Ln The pin fins are used to enhance the heat transfer from a high power microprocessor. Assume the pin fins cover 50% of the base plate area with temperature Tb-65°C. The base and pin fins are made of aluminum with k-180W/m-K. Assume the base width 20mm, the base length 20mm and pin height cannot be more than 10 mm. The average heat transfer coefficient between the air and the surface of the heat sink is h 25 W/m2-K. The surrounding air temperature is T= 270C. Calculate the heat transfer before and after using the pin fins Height Length Width

Explanation / Answer

Given that

Pin Fin covers 50 %

Tb = 650C

k =180 W/mk

Width , w = 20mm

length = 20mm

height , H = 10 mm

h = 25 w/m2 k

T0 = 270c

Heat transfer before using fins ,

Q = ( hpkAc)1/2 ( T2 - T1 )

      = ( 25 X 1.1 X 180 X 20 X 20 )1/2 ( 65 - 27 )

      = 53470 W / mm2 K

Heat transfer after fins were added

   Q = Tanhml X ( hpkA)1/2 ( T0 - T1 )

     m = hp / kA

         = 0.0038

Q = Tanh(0.0038 X 10) X ( 25 X 1.1 X 180 X 20 X 20 )1/2 ( 65 -27 )

     = 2030.91 W/ mm2 K

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