Stainless steel (AISI 304) ball bearings, which have

Chapter 5, Problem 5.74

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Stainless steel (AISI 304) ball bearings, which have uni-formly been heated to 850C, are hardened by quenching them in an oil bath that is maintained at 40C. Theball diameter is 20 mm, and the convection coefficientassociated with the oil bath is 1000 W/mK. (a) If quenching is to occur until the surface temperature of the balls reaches 100C, how long must theballs be kept in the oil? What is the center temperature at the conclusion of the cooling period?(b) If 10,000 balls are to be quenched per hour, what isthe rate at which energy must be removed by the oilbath cooling system in order to maintain its temper-ature at 40C?

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