Problem 1. bar shown below, determine the temperatures at Nodes 2 and 3. Assume 1-D heat transfer that only occurs in the x-direction as the upper and lower 1-D Heat Transfer with Conduction. For the 1-D composite boundaries of the elements are insulated. Assume the cross-sectional area is the same for all elements, A=0.01 m?. For Element 1, let the thermal conductivity be 100 W/(m °C). For Element 2, let the thermal conductivity be 110 W/(m °C). For Element 3, let the thermal conductivity be 120 W/(m °C). The left end of the bar has a constant temperature of 120°C (at Node 1) and the right end has a constant temperature of 276 °C (at Node 4).

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Chapter2: Steady Heat Conduction
Section: Chapter Questions
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Problem 1. 67 pts
bar shown below, determine the temperatures at Nodes 2 and 3. Assume 1-D
heat transfer that only occurs in the x-direction as the upper and lower
1-D Heat Transfer with Conduction. For the 1-D composite
boundaries of the elements are insulated. Assume the cross-sectional area is the
same for all elements, A=0.01 m?. For Element 1, let the thermal conductivity be
100 W/(m °C). For Element 2, let the thermal conductivity be 110 W/(m °C). For
Element 3, let the thermal conductivity be 120 W/(m °C). The left end of the bar
has a constant temperature of 120 °C (at Node 1) and the right end has a constant
temperature of 276 °C (at Node 4).
Insulated, 1-d heat transfer in x-dir
Node 1
Node 2
Node 3
Node 4
+x
120°C
E1
E2
ЕЗ
276°C
1 mm
2 mm
0.5mm
Insulated
Transcribed Image Text:Problem 1. 67 pts bar shown below, determine the temperatures at Nodes 2 and 3. Assume 1-D heat transfer that only occurs in the x-direction as the upper and lower 1-D Heat Transfer with Conduction. For the 1-D composite boundaries of the elements are insulated. Assume the cross-sectional area is the same for all elements, A=0.01 m?. For Element 1, let the thermal conductivity be 100 W/(m °C). For Element 2, let the thermal conductivity be 110 W/(m °C). For Element 3, let the thermal conductivity be 120 W/(m °C). The left end of the bar has a constant temperature of 120 °C (at Node 1) and the right end has a constant temperature of 276 °C (at Node 4). Insulated, 1-d heat transfer in x-dir Node 1 Node 2 Node 3 Node 4 +x 120°C E1 E2 ЕЗ 276°C 1 mm 2 mm 0.5mm Insulated
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