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A rod of diameter D=25mm and thermal conductivity k=30W/mK protrudes normally from a furnace wall that is at Tw= 200C and is covered by insulation

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A rod of diameter D=25mm and thermal conductivity k=30W/mK protrudes normally from a furnace wall that is at Tw= 200C and is covered by insulation of thickness Libs=200mm. The rod is welded to the furnace wall and is used as a hanger for supporting instrumentation cables. To avoid damaging the cables, the temperature of the rod at its exposed surface, T0 must not exceed a specified operating limit of Tmax.. The ambient air temperature is Tn=25C, and the convection coefficient is h=15 W/m2K Determine the temperature T0, in C. The rod has an exposed length L0=200mm, and its tip is well insulated. T0=

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