Stainless steel (AISI 304) ball bearings, which have been uniformly heated to 850°C, are hardened by quenching them in an oil bath that is maintained at 40°C. The ball diameter is 12.5 mm, and the convection coefficient associated with the oil bath is 1000 W/m².K. (a) If quenching is to occur until the surface temperature of the balls reaches 100°C, how long, in s, must the balls be kept in the oil? What is the center temperature, in °C, at the conclusion of the cooling period? (b) If 10,000 balls are to be quenched per hour, what is the rate at which energy must be removed, in kW, by the oil bath cooling system in order to maintain its temperature at 40°C? Evaluate the properties of the stainless steel (AISI 304) at 500 K.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.26P
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Stainless steel (AISI 304) ball bearings, which have been uniformly heated to 850°C, are hardened by quenching them in an oil bath
that is maintained at 40°C. The ball diameter is 12.5 mm, and the convection coefficient associated with the oil bath is 1000 W/m².K.
(a) If quenching is to occur until the surface temperature of the balls reaches 100°C, how long, in s, must the balls be kept in the oil?
What is the center temperature, in °C, at the conclusion of the cooling period?
(b) If 10,000 balls are to be quenched per hour, what is the rate at which energy must be removed, in kW, by the oil bath cooling system
in order to maintain its temperature at 40°C?
Evaluate the properties of the stainless steel (AISI 304) at 500 K.
Part A
If quenching is to occur until the surface temperature of the balls reaches 100°C, how long, in s, must the balls be kept in the oil?
What is the center temperature, in °C, at the conclusion of the cooling period?
t =
T₁ =
i
i
S
°℃
Transcribed Image Text:Stainless steel (AISI 304) ball bearings, which have been uniformly heated to 850°C, are hardened by quenching them in an oil bath that is maintained at 40°C. The ball diameter is 12.5 mm, and the convection coefficient associated with the oil bath is 1000 W/m².K. (a) If quenching is to occur until the surface temperature of the balls reaches 100°C, how long, in s, must the balls be kept in the oil? What is the center temperature, in °C, at the conclusion of the cooling period? (b) If 10,000 balls are to be quenched per hour, what is the rate at which energy must be removed, in kW, by the oil bath cooling system in order to maintain its temperature at 40°C? Evaluate the properties of the stainless steel (AISI 304) at 500 K. Part A If quenching is to occur until the surface temperature of the balls reaches 100°C, how long, in s, must the balls be kept in the oil? What is the center temperature, in °C, at the conclusion of the cooling period? t = T₁ = i i S °℃
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