You are designing a PCB laid horizontally on the ground.  The PCB surface temperature can’t exceed 85℃ and has a size of 96mm x 90mm. Tinfinity = 45oC.  "p" is the perimeter of the plate a) Calculate the Rayleigh number. b) If the PCB is laid hot-side UP, what is the Nusselt number and heat transfer coefficient? c) If the PCB is laid hot-side DOWN, what is the Nusselt number and heat transfer coefficient? d) Given your results from b and c, which one has better heat transfer?  In that case, what is the maximum power dissipation the board can put out? Properties of Air: k = 0.025 W/mk Pr = 0.72 v = 1.847 x 10−5 u = 16.84 x10−6 p = 1.2 kg/m3 B =1/ Tf (idwal gass)

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.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.68P
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You are designing a PCB laid horizontally on the ground.  The PCB surface temperature can’t exceed 85℃ and has a size of 96mm x 90mm.

  • Tinfinity = 45oC.
  •  "p" is the perimeter of the plate

a) Calculate the Rayleigh number.

b) If the PCB is laid hot-side UP, what is the Nusselt number and heat transfer coefficient?

c) If the PCB is laid hot-side DOWN, what is the Nusselt number and heat transfer coefficient?

d) Given your results from b and c, which one has better heat transfer?  In that case, what is the maximum power dissipation the board can put out?

Properties of Air:
k = 0.025 W/mk
Pr = 0.72
v = 1.847 x 10−5
u = 16.84 x10−6
p = 1.2 kg/m3
B =1/ Tf (idwal gass)

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