Two rods of the same length 1 and same rectangular cross-section A, but different thermal conduc- tivities, k₁ and k2, are welded end-to-end, and coupled to thermal reservoirs at the two ends. The temperatures of the two ends are held constant at 0°C and 100°C, as shown. Heat flows from right to left. What is the temperature at the junction if k₁ = 2k2.
Two rods of the same length 1 and same rectangular cross-section A, but different thermal conduc- tivities, k₁ and k2, are welded end-to-end, and coupled to thermal reservoirs at the two ends. The temperatures of the two ends are held constant at 0°C and 100°C, as shown. Heat flows from right to left. What is the temperature at the junction if k₁ = 2k2.
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Transcribed Image Text:Two rods of the same length 1 and same rectangular cross-section A, but different thermal conduc-
tivities, k₁ and k2, are welded end-to-end, and coupled to thermal reservoirs at the two ends. The
temperatures of the two ends are held constant at 0°C and 100°C, as shown. Heat flows from right
to left. What is the temperature at the junction if k₁ = 2k2.
0°C
k₁
k2
100°C
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