A solid lead cylinder 0.6-m in diameter and 0.6-m long, initially at a uniform temperature of 121?C,

Question:

A solid lead cylinder 0.6-m in diameter and 0.6-m long, initially at a uniform temperature of 121?C, is dropped into a 21?C liquid bath in which the heat transfer coefficient hc is 1135 W/(m2 K). Plot the temperature-time history of the center of this cylinder and compare it with the time histories of a 0.6 m diameter, infinitely long lead cylinder and a lead slab 0.6-m thick.GIVENA solid lead cylinder dropped into a liquid bathCylinder diameter (D) = 0.6 mCylinder (L) = 0.6 mInitial uniform temperature (To) = 121?CLiquid bath temperature (T??) = 21?CHeat transfer coefficient (hc ) = 1135 W/(m2 K)ASSUMPTIONSTwo dimensional conduction within the cylinderConstant and uniform propertiesConstant liquid bathtemperature