Carbon steel (AISI 1010) shafts of 0.1-m diameter are heat treated in a gas-fired furnace whose gases are at 1200 K and provide a convection coefficient of 100 W/m². K. If the shafts enter the furnace at 220 K, use the lumped capacitance model to estimate how ong must they remain in the furnace to achieve a centerline temperature of 800 K? Use p = 7832 kg/m³, k = 51.2 W/(mK), c = 541 1/(kg-K) and a = 1.21 x 10-5 m²/s. They must remain in the furnace for i S.

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Chapter10: Heat Exchangers
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Problem 10.51P
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Carbon steel (AISI 1010) shafts of 0.1-m diameter are heat treated in a gas-fired furnace whose gases are at 1200 K and provide a
convection coefficient of 100 W/m².K. If the shafts enter the furnace at 220 K, use the lumped capacitance model to estimate how
long must they remain in the furnace to achieve a centerline temperature of 800 K? Use p = 7832 kg/m³, k = 51.2 W/(mK), c = 541
J/(kg-K) and a = 1.21 x 10-5 m²/s.
They must remain in the furnace for i
S.
Transcribed Image Text:Carbon steel (AISI 1010) shafts of 0.1-m diameter are heat treated in a gas-fired furnace whose gases are at 1200 K and provide a convection coefficient of 100 W/m².K. If the shafts enter the furnace at 220 K, use the lumped capacitance model to estimate how long must they remain in the furnace to achieve a centerline temperature of 800 K? Use p = 7832 kg/m³, k = 51.2 W/(mK), c = 541 J/(kg-K) and a = 1.21 x 10-5 m²/s. They must remain in the furnace for i S.
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