The temperature difference between the wooden wall is 16⁰C, and the heat current per square metre of the wall is 7,325 W/m².
Temperature difference between the wooden wall
The temperature difference between the wooden wall is calculated as follows;
- Let the brick wall = wall A
- Let the wooden wall = wall B
- Let the area of the walls = A
[tex]\frac{dQ_A}{dt } = \frac{dQ_B}{dt} \\\\\frac{K_A \Delta T_A \times A}{L_A} = \frac{K_B \Delta T _B \times A}{L_B}\\\\\frac{K_A \Delta T_A }{L_A} = \frac{K_B \Delta T _B}{L_B}\\\\\frac{0.5 \times 20}{0.1} = \frac{0.125 \times \Delta T _B }{0.02} \\\\100 = 6.25\Delta T _B\\\\\Delta T _B = \frac{100}{6.25} \\\\\Delta T _B = 16 \ ^oC[/tex]
Heat flowing in the walls
Q = KL(ΔT)
Q = 0.5 x 0.1 x (20 + 273)
Q = 14.65 W
Heat current per square meter of the Walls
QA = W/A
QA = (14.65)/A
- Let the area of the wall = 10 cm x 2 cm = 0.1 m x 0.02 m = 0.002 m².
QA = 14.65/0.002
QA = 7,325 W/m²
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