How Do You Model Temperature Distribution in a Heated Cylinder?

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SUMMARY

The discussion focuses on modeling temperature distribution in a heated cylinder filled with air, where the bottom wall is maintained at a constant temperature of T=400K while the side walls and top are adiabatic. The key equations for this heat transfer scenario involve the heat conduction equation and Fourier's law. A recommended resource for understanding these concepts is the book "Transport Phenomena" by Bird, Stewart, and Lightfoot, which provides foundational knowledge on solving heat transfer problems.

PREREQUISITES
  • Understanding of the heat conduction equation
  • Familiarity with Fourier's law of heat conduction
  • Basic knowledge of thermodynamics
  • Concept of adiabatic processes
NEXT STEPS
  • Study the heat conduction equation in detail
  • Explore Fourier's law of heat conduction
  • Read "Transport Phenomena" by Bird, Stewart, and Lightfoot
  • Investigate numerical methods for solving heat transfer problems
USEFUL FOR

Engineers, physicists, and students interested in heat transfer modeling, particularly those working with thermal systems and fluid dynamics.

Kalus
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I'm hoping to start a simple heat transfer model. It's basically a cylinder filled with air at a temperature T=300K. The bottom wall of the cylinder, made of steel, is heated (and kept at the constant temperature of T=400K). The side walls and top for the moment are treated as adiabatic (since I assume it will make it easier to solve).

What equations can I use to describe the temperature distribution in the air with time and distance?

I'm really looking for a resource that explains a similar scenario or a fairly simple book on explaining how to solve heat transfer problems like these?

Thanks,

Kalus :)
 
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See Transport Phenomena by Bird, Stewart, and Lightfoot.
 

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