5.72 A cold air chamber is proposed for quenching steel ball bearings of diameter D = 0.2 m and initial temperature T₁ = 400°C. Air in the chamber is maintained at -15°C by a refrigeration system, and the steel balls pass through the chamber on a conveyor belt. Optimum bearing production requires that 70% of the initial ther- mal energy content of the ball above -15°C be

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5.72 A cold air chamber is proposed for quenching steel ball
bearings of diameter D = 0.2 m and initial temperature
T₁ = 400°C. Air in the chamber is maintained at -15°C
by a refrigeration system, and the steel balls pass
through the chamber on a conveyor belt. Optimum
bearing production requires that 70% of the initial ther-
mal energy content of the ball above -15°C be
removed. Radiation effects may be neglected, and the
convection heat transfer coefficient within the chamber
is 1000 W/m².K. Estimate the residence time of the
balls within the chamber, and recommend a drive veloc-
ity of the conveyor. The following properties may be
used for the steel: k = 50 W/m K, a = 2 x 105 m²/s,
and c = 450 J/kg.K.
Ball
bearing
-5 m
Cold air
Belt
V
Chamber
housing
Transcribed Image Text:5.72 A cold air chamber is proposed for quenching steel ball bearings of diameter D = 0.2 m and initial temperature T₁ = 400°C. Air in the chamber is maintained at -15°C by a refrigeration system, and the steel balls pass through the chamber on a conveyor belt. Optimum bearing production requires that 70% of the initial ther- mal energy content of the ball above -15°C be removed. Radiation effects may be neglected, and the convection heat transfer coefficient within the chamber is 1000 W/m².K. Estimate the residence time of the balls within the chamber, and recommend a drive veloc- ity of the conveyor. The following properties may be used for the steel: k = 50 W/m K, a = 2 x 105 m²/s, and c = 450 J/kg.K. Ball bearing -5 m Cold air Belt V Chamber housing
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