Thermo- Heated Air in Brick Box.

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SUMMARY

The discussion centers on calculating the temperature change of air inside a 1m³ brick box with a thickness of 0.1m, initially at 30°C, while the external temperature is 20°C. The user seeks assistance in applying heat flow equations to determine the internal temperature after 1 hour and 12 hours, as well as the time required for the internal air to reach 20°C. Key parameters include the R-value of brick at 0.80 (k*m²/W) and the need to calculate energy transfer based on the surface area and temperature difference.

PREREQUISITES
  • Understanding of heat transfer principles, specifically conduction.
  • Familiarity with R-value calculations in thermal insulation.
  • Knowledge of heat flow equations and their application in solid materials.
  • Basic mathematical skills for solving differential equations related to heat diffusion.
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  • Study the derivation and application of the heat conduction equation.
  • Learn about the concept of thermal resistance and its calculation in building materials.
  • Research methods for modeling transient heat transfer in solids.
  • Explore numerical methods for solving heat diffusion problems in engineering contexts.
USEFUL FOR

This discussion is beneficial for students and professionals in thermal engineering, physics, and materials science, particularly those focusing on heat transfer analysis and insulation properties of building materials.

zeus77
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Hello!

This is a question purposed to me by my professor as we went over the mathematics behind the diffusion of heat flow through solids.

Many parts of this question are left up to us to create. Here is what i am working with.

*****
A m^3 box made of Brick .1m thick has air at 30C. Out side is 20C.
What is the temp. inside the box after 1 hour? 12hours? Aprox. How long until the air is 20C inside also?

*****

This question was assigned when looking at Heat flow equations, these equations are to look at the distribution of heat inside the wall with constant heat sources on either side. Unlike this problem, dispite my best efforts any attempt to change them into a dynamic system fails.

Having thought about this problem here is what i think is my approach, some one care to help?

1) Set volume of air to 1m^3, with 30C and standard preasure. Find the Energy inside the box.(need help here)
2)Using the surface area of the box, the rate of energy/heat transfer from Brick, the energy difference inside/out.

R-valuebrick= 0.80 (k*m^2/W)
R=D/k=.1m/k

3)Need help!


Ok from what i can tell, i should be able to calculate the energy in the box, the rate energy is lost using the brick's R value, and create an formula specific to this situation. Can some one please get me on the right track?
 
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Gah,

Wrong part of forum to post this. I apologize, please move if some one has the power (=
 

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