In heat treating to harden steel ball bearings(c500 J/kgK,

Chapter 5, Problem 5.71

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In heat treating to harden steel ball bearings(c?500 J/kg?K, ??7800 kg/m3, k?50 W/m?K), it is desirable to increase the surface temperature for ashort time without significantly warming the interior ofthe ball. This type of heating can be accomplished bysudden immersion of the ball in a molten salt bath withT??1300 K and h?5000 W/m2?K. Assume that anylocation within the ball whose temperature exceeds1000 K will be hardened. Estimate the time required toharden the outer millimeter of a ball of diameter20 mm, if its initial temperature is 300 K.

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