You are designing an IC heatsink which uses round pins in cross-flow.  The heatsink must dissipate 3000W.  The heatsink has 10 rows of 8 columns of round pins with a diameter of 1mm.  The pins have longitudinal and transverse pitch of 6mm.  The incoming air is at 25oC with a velocity of 3 m/s.  Assume fluid properties are constant.  If the pins are arranged in-line: a) Find the Reynold’s Number b) Find the Nusselt Number c) If the pins are 30mm tall, how hot must the pin surface be (average) to dissipate the proper amount of heat?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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You are designing an IC heatsink which uses round pins in cross-flow.  The heatsink must dissipate 3000W.  The heatsink has 10 rows of 8 columns of round pins with a diameter of 1mm.  The pins have longitudinal and transverse pitch of 6mm.  The incoming air is at 25oC with a velocity of 3 m/s.  Assume fluid properties are constant.  If the pins are arranged in-line:

a) Find the Reynold’s Number

b) Find the Nusselt Number

c) If the pins are 30mm tall, how hot must the pin surface be (average) to dissipate the proper amount of heat?

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