A long iron rod (p = 7870 kg/m³, cp = 447 J/kg∙K, k = 80.2 W/m-K, and a = 23.1 × 10- m/s) with diameter of 25 mm is initially heated to a uniform temperature of 700°C. The iron rod is then quenched in a large water bath that is maintained at constant temperature of 50°C and convection heat transfer coefficient of 128 W/m²K. Determine the time required for the iron rod surface temperature to cool to 207°C. Solve this problem using analytical one-term approximation method. Water, 50°C h = 128 W/m²K Iron rod The time required for the iron rod surface temperature to cool to 207°C is | seconds.

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Chapter7: Forced Convection Inside Tubes And Ducts
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A long iron rod (p = 7870 kg/m³, cp=447 J/kg-K, k = 80.2 W/mK, and a = 23.1 x 10-6 m²/s) with diameter of 25 mm is initially heated to
a uniform temperature of 700°C. The iron rod is then quenched in a large water bath that is maintained at constant temperature of
50°C and convection heat transfer coefficient of 128 W/m2K. Determine the time required for the iron rod surface temperature to cool
to 207°C. Solve this problem using analytical one-term approximation method.
Water, 50°C
h = 128 W/m²K
The time required for the iron rod surface temperature to cool to 207°C is
Iron rod
seconds.
Transcribed Image Text:A long iron rod (p = 7870 kg/m³, cp=447 J/kg-K, k = 80.2 W/mK, and a = 23.1 x 10-6 m²/s) with diameter of 25 mm is initially heated to a uniform temperature of 700°C. The iron rod is then quenched in a large water bath that is maintained at constant temperature of 50°C and convection heat transfer coefficient of 128 W/m2K. Determine the time required for the iron rod surface temperature to cool to 207°C. Solve this problem using analytical one-term approximation method. Water, 50°C h = 128 W/m²K The time required for the iron rod surface temperature to cool to 207°C is Iron rod seconds.
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