The average rate at which energy is conducted outward through the ground surface in North America is 54.0 mW/m2, and the average thermal conductivity of the near surface rocks is 2.50 W/m K.  Assuming a surface temperature of 10.0oC, find the temperature at a depth of 10.0 km.  Ignore the heat generated by the presence of radioactive elements.

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.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.60P
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The average rate at which energy is conducted outward through the ground surface in North America is 54.0 mW/m2, and the average thermal conductivity of the near surface rocks is 2.50 W/m K.  Assuming a surface temperature of 10.0oC, find the temperature at a depth of 10.0 km.  Ignore the heat generated by the presence of radioactive elements.

Expert Solution
Step 1

The average rate at which energy is conducted outward through the ground surface is 54mW/m^2

Thermal conductivity k=2.50W/mk

Surface temperature =283k

Depth = 10×10^3m

 

Q = K A ( T - Ts ) / L

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