A cold air chamber is proposed for quenching steel

Chapter 5, Problem 5.72

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A cold air chamber is proposed for quenching steel ballbearings of diameter D?0.2 m and initial temperatureTi?400C. Air in the chamber is maintained at?15Cby a refrigeration system, and the steel balls passthrough the chamber on a conveyor belt. Optimumbearing production requires that 70% of the initial ther-mal energy content of the ball above?15C beremoved. Radiation effects may be neglected, and theconvection heat transfer coefficient within the chamberis 1000 W/m2?K. Estimate the residence time of theballs within the chamber, and recommend a drive veloc-ity of the conveyor. The following properties may beused for the steel: k?50 W/m?K, ??210?5m2/s,and c?450 J/kg?K

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