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January 30, 2021

Determine the heat flow rate through the double-pane window.

Consider heat transfer through a double-pane window as shown in Figure 7.31a. Two layers of glass with thermal conductivity k₁are separated by a layer of stagnant air with thermal conductivity k₂. The inner surface of the window is at temperature T₁ and exposed to room air with heat transfer coefficient h₁. The outer surface of the wall is at temperature T₂ and exposed to air with heat transfer coefficient h2. Assume that k₁= 0.95 W/(m・°C),

k₂ = 0.0285 W/(m・°C), h₁= h₂ = 10 W/(m₂・°C), T₁ = 20°C, and T₂ = 35°C. The thickness of each glass layer is 4 mm, the thickness of the air layer is 8 mm, and the cross-sectional area

of the window is 1.5 m².

a. Determine the heat flow rate through the double-pane window.

b. Determine the temperature distribution through the double-pane window.

c. Repeat Parts (a) and (b) for the single-pane glass window shown in Figure 7.31b.

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