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?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.4P: 5.4 Evaluate the Stanton number for flow over a tube from the following data: , , , , .
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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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