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GATE ME 2019 Set 1 — Question 57

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NAT+2 / -0Medium1D Steady ConductionConductionHeat TransferComposite Wall Conduction

Heat Transfer → Conduction → 1D Steady Conduction

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Question

Three slabs are joined together as shown in the figure. There is no thermal contact resistance at the interfaces. The center slab experiences a non-uniform internal heat generation with an average value equal to 10000 Wm−3^{-3}, while the left and right slabs have no internal heat generation. All slabs have thickness equal to 1 m and thermal conductivity of each slab is equal to 5 Wm−1^{-1} K−1^{-1}. The two extreme faces are exposed to fluid with heat transfer coefficient 100 Wm−2^{-2} K−1^{-1} and bulk temperature 30 circ^circ C as shown. The heat transfer in the slabs is assumed to be one dimensional and steady, and all properties are constant. If the left extreme face temperature T1T_1 is measured to be 100 circ^circ C, the right extreme face temperature T2T_2 is ______ circ^circ C.
Diagram showing three slabs of 1m thickness each. The center slab has heat generation. Left face is at $T_1$ and right face is at $T_2$. Both faces are exposed to fluid at 30 $^circ$C with $h=100$ W/m$^2$K.
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