Thermodynamics: Calculating total resistance of window

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SUMMARY

The total thermal resistance of a triple glazed window with three 3 mm glass panes and two 12 mm air cavities is calculated using the thermal conductivities of glass (0.8 W•m-1•K-1) and air (0.028 W•m-1•K-1). The correct total thermal resistance is determined to be 1 KW. The calculation involves considering conduction through each glass pane and convection through the air gaps, although convection can be neglected due to the small size of the air gaps. It is crucial to use the correct thickness of the air gaps, which is 12 mm, not 1 m.

PREREQUISITES
  • Understanding of thermal resistance concepts
  • Knowledge of thermal conductivity values for materials
  • Familiarity with conduction and convection heat transfer mechanisms
  • Basic algebra for calculating total resistance
NEXT STEPS
  • Study the principles of thermal resistance in multi-layer systems
  • Learn how to calculate thermal resistance for different materials
  • Explore the impact of air gaps on thermal insulation
  • Investigate advanced topics in heat transfer, such as convection coefficients
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Students studying thermodynamics, engineers involved in building design, and anyone interested in improving energy efficiency in window systems.

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Homework Statement


A triple glazed window consists of 3 clear glass panes of 3 mm thickness each, separated by air cavities of 12 mm each. The window area is 1.0 m2 . If the thermal conductivity of the glass panes is 0.8 W•m-1•K-1 and of the air cavities is 0.028 W•m-1•K-1 what is the total thermal resistance of the window?

Homework Equations

The Attempt at a Solution


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The correct answer is meant to be 1 KW. I was initially going to do something with the internal air and external air but the question says the total thermal resistance of the window. So it should be conduction1 through the first pane of glass, then convection1 through first air gap then conduction2 through second glass pane then convection2 through second air gap then finally conduction3 thorugh third glass pane.
 
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I think the air gaps are small enough for convection to be ignored?

In your working, where you calculate the resistance of the air gaps... You appear to have the thickness as 1m rather than 12mm?
 

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