What happened to the negative sign?

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SUMMARY

The discussion centers on the confusion regarding the application of the negative sign in the equation d/dx(-kAc*dT/dx)+hp(T-T)=0. Participants clarify that the negative sign is crucial for maintaining the equivalence of the terms in the equation. The focus is on ensuring that the signs on the hp() terms are correctly compared to avoid misinterpretation. This highlights the importance of careful algebraic manipulation in thermodynamic equations.

PREREQUISITES
  • Understanding of calculus, specifically differentiation.
  • Familiarity with thermodynamic principles and equations.
  • Knowledge of heat transfer concepts, particularly the role of heat transfer coefficients.
  • Basic algebraic manipulation skills.
NEXT STEPS
  • Review the principles of thermodynamics, focusing on heat transfer equations.
  • Study the differentiation of functions in calculus, emphasizing negative signs.
  • Examine case studies involving heat transfer coefficients in practical applications.
  • Practice algebraic manipulation with thermodynamic equations to reinforce understanding.
USEFUL FOR

Students studying thermodynamics, engineers working in heat transfer applications, and educators teaching calculus and physics concepts.

EastWindBreaks
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Homework Statement



upload_2018-4-22_5-10-56.png

Homework Equations

The Attempt at a Solution


I thought it would become d/dx(-kAc*dT/dx)+hp(T-T)=0 instead of where the equation in the red box? I don't see how are they equivalent [/B]
 

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EastWindBreaks said:
I don't see how are they equivalent
Compare the signs on the hp() terms.
 
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haruspex said:
Compare the signs on the hp() terms.
silly me, thank you!
 

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