3. Figure 2 shows a double-pane glass window. Double-pane glass windows are typically used to reduce heat loss from the inside of a structure to the outside. This is because a thin layer of *quiescent* air is trapped between both panes of glass. **Figure 2.** Double-pane glass window (material is "boda-lime glass") Assuming one-dimensional, steady-state conditions with constant properties, and using the information from **Figure 2 ** - a) Draw the thermal circuit that's representative of the heat transfer through the double-pane window. - b) Determine the rate of heat flux *q'*<sup>H</sup> through the double-pane window (α<sup>H</sup> = 1). *Hint to this problem – "quiescent" means stagnant (motionless). The trapped air isn't moving. Recall that convection = advection + diffusion. No fluid motion means no advection. So do NOT analyze the trapped air as convection.*
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Step 1
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Step 2
: Analyze the Double-Pane Window Components

- Temperature difference: $$\Delta T = 40 \mathrm{~K}
The window consists of: - Outer glass pane (boda-lime glass) - Air gap (quiescent/stagnant) - Inner glass pane (boda-lime glass) Given information:

Final Answer

The rate of heat flux q'^{H} through the double-pane window is 85.11 \mathrm{~W/m^{2}}. Key Insights: - The air gap provides significant thermal resistance - Quiescent air has low thermal conductivity - Thermal resistance is calculated by thickness divided by thermal conductivity