A stainless steel (AISI304) ball of a ball-bearing which is heated to 850 °C is to be hardened by quenching in the oil bath at 40 °C. Diameter of the ball is 20 mm and convection heat transfer coefficient between the ball surface and the oil is 1110 W/m2·K. a) Determine the temperature of center of the steel ball at t=50 s. b) Calculate the amount of heat transfer during this time period. Properties: AISI304 (T≈500 °C); k=22.2 W/m·K; Cp=579 J/kg·K; ρ=7900 kg/m3; α=4.85x10-6 m2/s

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A stainless steel (AISI304) ball of a ball-bearing which is heated to 850 °C is to be hardened by quenching in the oil bath at 40 °C. Diameter of the ball is 20 mm and convection heat transfer coefficient between the ball surface and the oil is 1110 W/m2·K.
a) Determine the temperature of center of the steel ball at t=50 s.
b) Calculate the amount of heat transfer during this time period.
Properties: AISI304 (T≈500 °C); k=22.2 W/m·K; Cp=579 J/kg·K; ρ=7900 kg/m3; α=4.85x10-6 m2/s

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