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A long, 150-mm-diameter cylindrical metal (k = 20 W/m-K, p = 7900 kg/m³, cp = 650 J/kg-K) billet is prepared for a manufacturing process by heating it in an oven. The billet has an initial temperature of 100°C and is placed in an oven that is at 800°C with a heat transfer coefficient of 100 W/m²-K. Determine how long the billet should be left in the oven to achieve a minimum temperature of 650°C.

A long, 150-mm-diameter cylindrical metal (k = 20 W/m-K, p = 7900 kg/m³, cp = 650 J/kg-K) billet is prepared for a manufacturing process by heating it in an oven. The billet has an initial temperature of 100°C and is placed in an oven that is at 800°C with a heat transfer coefficient of 100 W/m²-K. Determine how long the billet should be left in the oven to achieve a minimum temperature of 650°C.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A long, 150-mm-diameter cylindrical metal (k = 20 W/m-K, p = 7900 kg/m³, cp = 650 J/kg-K) billet is prepared for a manufacturing process by heating it in an oven. The billet has an initial temperature of 100°C and is placed in an oven that is at 800°C with a heat transfer coefficient of 100 W/m²-K. Determine how long the billet should be left in the oven to achieve a minimum temperature of 650°C.
Transcribed Image Text:A long, 150-mm-diameter cylindrical metal (k = 20 W/m-K, p = 7900 kg/m³, cp = 650 J/kg-K) billet is prepared for a manufacturing process by heating it in an oven. The billet has an initial temperature of 100°C and is placed in an oven that is at 800°C with a heat transfer coefficient of 100 W/m²-K. Determine how long the billet should be left in the oven to achieve a minimum temperature of 650°C.
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