A 4-m high and 6-m-wide wall consists of long 15-cm x 20 cm cross section horizontal bricks (k of 0.69 W/m K) separated by 2-cm thick plaster layers (k of 0.2 W/m K). There are also 2-cm-thck plaster layers on each side of the brick and a 3-cm-thick rigid foam (k of 0.025 W/m K) on the inner side of the wall. See figure below. The indoor and the outdoor air temperatures are 18 and -8°C, respectively. Convective heat transfer coefficient for inside and outer surfaces are 8 and 22 W/m²K, respectively. Assume 1-D heat transfer. Neglect radiation. a. assume any plane wall normal to the x-direction is isothermal, draw the thermal circuit and calculate the heat transfer rate through the wall assume any plane parallel to the x-axis is adiabatic,, draw the thermal circuit and calculate the heat transfer rate through the wall Compare the results from a and b, discuss the reason for any difference there might be. b. c.

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1. A 4-m high and 6-m-wide wall consists of long 15-cm x 20 cm cross section horizontal bricks (k of 0.69
W/m K) separated by 2-cm thick plaster layers (k of 0.2 W/m K). There are also 2-cm-thck plaster layers
on each side of the brick and a 3-cm-thick rigid foam (k of 0.025 W/m K) on the inner side of the wall. See
figure below. The indoor and the outdoor air temperatures are 18 and -8°C, respectively. Convective heat
transfer coefficient for inside and outer surfaces are 8 and 22 W/m² K, respectively. Assume 1-D heat
transfer. Neglect radiation.
Foam
inside
a. assume any plane wall normal to the x-direction is isothermal, draw the thermal circuit and
calculate the heat transfer rate through the wall
b.
c.
assume any plane parallel to the x-axis is adiabatic,, draw the thermal circuit and calculate the
heat transfer rate through the wall
Compare the results from a and b, discuss the reason for any difference there might be.
brick
brick
brick
L15 cm.
X
plaster
1 cm
20 cm
1 cm
outside
Transcribed Image Text:1. A 4-m high and 6-m-wide wall consists of long 15-cm x 20 cm cross section horizontal bricks (k of 0.69 W/m K) separated by 2-cm thick plaster layers (k of 0.2 W/m K). There are also 2-cm-thck plaster layers on each side of the brick and a 3-cm-thick rigid foam (k of 0.025 W/m K) on the inner side of the wall. See figure below. The indoor and the outdoor air temperatures are 18 and -8°C, respectively. Convective heat transfer coefficient for inside and outer surfaces are 8 and 22 W/m² K, respectively. Assume 1-D heat transfer. Neglect radiation. Foam inside a. assume any plane wall normal to the x-direction is isothermal, draw the thermal circuit and calculate the heat transfer rate through the wall b. c. assume any plane parallel to the x-axis is adiabatic,, draw the thermal circuit and calculate the heat transfer rate through the wall Compare the results from a and b, discuss the reason for any difference there might be. brick brick brick L15 cm. X plaster 1 cm 20 cm 1 cm outside
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