Conduction with thermal energy generation

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SUMMARY

The discussion centers on a homework problem related to conduction with thermal energy generation, specifically addressing the use of heat transfer coefficient values. The participant incorrectly used a heat transfer coefficient of 250 W/m²*K instead of the correct value of 350 W/m²*K, leading to discrepancies in their solution. Despite verifying calculations against the solution manual, the participant remains uncertain about the source of their error. The forum encourages the use of LaTeX for mathematical expressions to enhance clarity.

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  • Understanding of heat transfer principles, specifically conduction.
  • Familiarity with thermal energy generation concepts.
  • Proficiency in using LaTeX for mathematical notation.
  • Knowledge of heat transfer coefficients and their significance in calculations.
NEXT STEPS
  • Review the fundamentals of conduction and the role of heat transfer coefficients.
  • Learn how to apply the Fourier's law of heat conduction in practical scenarios.
  • Explore the use of LaTeX for formatting mathematical equations in discussions.
  • Investigate common pitfalls in thermal energy calculations and how to avoid them.
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Students studying thermodynamics, engineers involved in thermal management, and anyone seeking to improve their understanding of heat transfer calculations.

yecko
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Homework Statement


I am wrong in my attempt, yet I can't figure out the reason why...
View attachment 230978

Homework Equations


View attachment 230979
(solution with h=250 W/m^2*K instead of 350 W/m^2*K)

The Attempt at a Solution


View attachment 231065
This is how I obtain the answers, which I checked all the calculations and I don't think there is numerical problem. I followed the steps in the solution manual, yet I am wrong and I don't know why.

Can anyone see anything going wrong here?
thank you so much!
 
Last edited:
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The rules say that images should not be used in place of text. They can be hard to read for people using phones to access PF, but your images are pretty clear, so we'll allow them.

When you compose a new post, a button "LateX" at the lower left allows you to enter math directly.
 

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