A steel cube [p = 7800 kg/m, Cp 0.5 kJ/kg-°C, and k 50 W/m-°C] is uniformly heated to Ti = 800°C. It is to be hardened by suddenly dropping it into an oil bath at T» = 40°C.The heat transfer coefficient between the oil and the cube is 700 W/m2.°C. Determine the temperature at the points P and Q (as shown in the figure below) 2 minutes after the start of cooling.-(а)Is the lumped system analysis applicable for this problem? Why?-(b)Determine the temperature Tp and To by use of the Heisler Charts.-(c)Determine the temperature Tp and To by use of the finite difference method.-(d)If the lumped system analysis were used in this problem, what would the error be in the temperature prediction?-(e)What will the steady-state temperature be?

Heat Transfer(Mechanical Engineering)

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