A rod of diameter D 25 mm and thermal conductivity k 60

Chapter , Problem 3.122

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A rod of diameter D 25 mm and thermal conductivity k 60 W/m K protrudes normally from a furnace wall that is at Tw 200 C and is covered by insulation of thickness Lins 200 mm. 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, To, must be maintained below a specified operating limit of Tmax 100 C. The ambient air temperature is T 25 C, and the convection coefficient is h 15 W/m2 K.geometrical parameters. The rod has an exposed length Lo, and its tip is well insulated. (b) Will a rod with Lo 200 mm meet the specified operating limit? If not, what design parameters would you change? Consider another material, increasing the thickness of the insulation, and increasing the rod length. Also, consider how you might attach the base of the rod to the furnace wall as a means to reduce T