(Thermo 3D) Power needed to maintain temp

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SUMMARY

The discussion centers on calculating the power required to maintain an internal temperature of 25 degrees Celsius in a cube filled with water, with external air at 20 degrees Celsius. The equation P = (kA/L)(Tf-Ti) is identified as the starting point for this calculation, where k represents thermal conductivity, A is the surface area, L is the thickness of the glass, Tf is the internal temperature, and Ti is the external temperature. Key assumptions include uniform temperature in the water and air, and zero thermal resistance between water and glass, as well as glass and air. The final formula simplifies to Power = Thermal Resistance of glass * (surface area/thickness of glass) * (Twater - Tair).

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  • Understanding of thermal conductivity and thermal resistance concepts
  • Familiarity with the equation P = (kA/L)(Tf-Ti)
  • Basic knowledge of heat transfer principles
  • Experience with units of measurement in thermal calculations
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  • Research thermal conductivity values for different materials, specifically glass
  • Learn about heat transfer in multi-medium systems
  • Explore the effects of stirring on temperature uniformity in fluids
  • Study practical applications of the P = (kA/L)(Tf-Ti) equation in engineering
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Engineers, physicists, and students studying thermodynamics or heat transfer, particularly those interested in practical applications of thermal calculations in multi-medium environments.

jerrythewhale
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If we have a cube full of water and glass walls, with an external environmental temperature of 20 degrees celsius, what is the power required to maintain an internal temperature of 25 degrees celsius?

Assume sides are 50cm.

I don't know what to do, I was trying out the P = (kA/L)(Tf-Ti) equation, but due to lack of experience, I don't know how to apply it when you have three mediums (air, glass, and water). Please help?
 
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You will probably have to make some assumptions. For example you could assume..

1) The water is stirred so that the temperature is a uniform 25C.
2) Likewise the air outside is also stirred so that all the air in contact with the glass is 20C.
3) The thermal resistance between water and glass is zero.
4) The thermal resistance between glass and air is zero.

Then it simplifies to..

Power = Thermal Resistance of glass * (surface area/thickness of glass) * (Twater - Tair)

Make sure the units for the thermal resistance of glass match those for the surface area/thickness.
 

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