A rod of diameter 25 mm and a k-value of 60 w/m.K, protrudes normally from a furnace wall maintained at 200oc. The wall is covered with 200 mm thick insulation layer. The rod is welded to the furnace wall and is used as a hanger for supporting instrumentation cable. To prevent damage to the cable, the temperature of the rod exposed to air must be less than 100oc. The ambient temperature is 25oc and the heat transfer coefficient between the rod and ambient is 15 w/m2.K. Find:
a.Whether a rod of 200 mm exposed length meets the requirement or not.
b.If not, explore and evaluate all the possible options which can meet the requirement. State clearly the assumptions made while arriving at the solution
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