Repeat Problem 2.85(a), but assume that the billet is only 1.2-m long and the average heat transfer

Question:

Repeat Problem 2.85(a), but assume that the billet is only 1.2-m long and the average heat transfer coefficient at both ends is 136 W/(m2 K).A long, 0.6 m OD 347 stainless steel (k = 14 W/(m K)) cylindrical billet at 16?C room temperature is placed in an over where the temperature is 260?C. If the average heat transfer coefficient is 170 W/(m2 K), estimate the time required for the center temperature to increase to 232?C by using the appropriate chart.GIVENA cylindrical billet placed in an overBillet outside diameter = 0.6 mThermal conductivity (k) = 14 W/(m K)Initial temperature (To) = 16?COven temperature (T??) = 260?CThe average heat transfer coefficient (hcs ) = 170 W/(m2 K)Increase of the center temperature is 232?CBillet length (2L) = 1.2 mHeat transfer coefficient at the ends (hce ) = 136 W/(m2 K)ASSUMPTIONSTwo dimensional conduction within the billetConstant and uniform thermal propertiesConstant oventemperature