Consider a 0.6 m X 0.6 m epoxy laminate (k = 0.2 W/m-k) whose thickness is 5 mm. In order  to reduce the thermal resistance across the thickness, cylindrical copper fillings (k = 380 W/m-k) of 2  mm diameter are evenly implanted in throughout the laminate with a spacing of 6 mm (center to center) between the fillings.  a) Determine the thermal resistance of the laminate with and without the copper fillings. b) Assuming the temperature difference across the laminate is 20°C, calculate the total heat  transfer rates with and without the fillings.

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.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.12P
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Consider a 0.6 m X 0.6 m epoxy laminate (k = 0.2 W/m-k) whose thickness is 5 mm. In order 
to reduce the thermal resistance across the thickness, cylindrical copper fillings (k = 380 W/m-k) of 2 
mm diameter are evenly implanted in throughout the laminate with a spacing of 6 mm (center to center) between the fillings. 


a) Determine the thermal resistance of the laminate with and without the copper fillings.


b) Assuming the temperature difference across the laminate is 20°C, calculate the total heat 
transfer rates with and without the fillings.

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