Figure 18-44 shows (in cross section) a wall consisting of four layers, with the

Question

Figure 18-44 shows (in cross section) a wall consisting of four layers, with thermal conductivities k1 = 0.0526 W/mÝ·K, k3 = 0.0624 W/mÝ·K, and k4 = 0.0907 W/mÝ·K (k2 is not known). The layer thicknesses are L1 = 2.5 cm, L3 = 3.5 cm, and L4 = 3.1 cm (L2 is not known). Energy transfer through the wall is steady. What is the temperature (in Celsius) of the interface between layers 3 and 4?

the figure has :

Temp 1 = 30 degrees C

Temp 2 = 25 degrees C

Temp 5 = (-10) degrees C

in case the figure doesnt show

Figure 18-44 shows (in cross section) a wall consisting of four layers, with thermal conductivities k1 = 0.0526 W/m ·K, k3 = 0.0624 W/m ·K, and k4 = 0.0907 W/m ·K (k2 is not known). The layer thicknesses are L1 = 2.5 cm, L3 = 3.5 cm, and L4 = 3.1 cm (L2 is not known). Energy transfer through the wall is steady. What is the temperature (in Celsius) of the interface between layers 3 and 4? the figure has : Temp 1 = 30 degrees C Temp 2 = 25 degrees C Temp 5 = (-10) degrees C in case the figure doesnt show

Explanation / Answer

Q/t = k1 ? A ? (T2 - T1) / l1

Q/t = k2 ? A ? (T3- T2) / l2

Q/t = k3? A ? (T4 - T3 / l3

Q/t = k4? A ? (T5 - T4) / l4

from this

k3? A ? (T4 - T3) / l3 = k1 ? A ? (T2 - T1) / l1

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