Stainless steel ball bearings (r = 8085 kg/m3, k =15.1 W/m·°C, cp = 0.480 kJ/kg·°C, and a = 3.91 * 10-6 m2/s) having a diameter of 1.2 cm are to be quenched in water. The balls leave the oven at a uniform temperature of 900°C and are exposed to air at 30°C for a while before they are dropped into the water. If the temperature of the balls is not to fall below 850°C prior to quenching and the heat transfer coefficient in the air is 125 W/m2·°C, determine how long they can stand in the air before being dropped into the water.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Stainless steel ball bearings (r = 8085 kg/m3, k =15.1 W/m·°C, cp = 0.480 kJ/kg·°C, and a = 3.91 * 10-6 m2/s)
having a diameter of 1.2 cm are to be quenched in water. The
balls leave the oven at a uniform temperature of 900°C and are
exposed to air at 30°C for a while before they are dropped into
the water. If the temperature of the balls is not to fall below
850°C prior to quenching and the heat transfer coefficient in
the air is 125 W/m2·°C, determine how long they can stand in
the air before being dropped into the water.

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