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Carbon steel shafts of 0.2 m diameter and 1.2 m long are heat treated in a gas-fired furnace whose gases are at 1400 K and provide a convection coefficient of 90 W/m².K. The shafts enter the furnace at 300 K, and remain in the furnace until they achieve a centerline temperature of 850 K. (a) Show whether you can use the lumped capacitance method. (b) Find the time the shafts have to be in the furnace. (c) Determine total energy transfer during this time. Assume: p= 7800 kg/m³, k= 54.2 W/m.K, c= 541 J/kg.K, a = 1.21x10³ m²/s. Show all calculations.

Carbon steel shafts of 0.2 m diameter and 1.2 m long are heat treated in a gas-fired furnace whose gases are at 1400 K and provide a convection coefficient of 90 W/m².K. The shafts enter the furnace at 300 K, and remain in the furnace until they achieve a centerline temperature of 850 K. (a) Show whether you can use the lumped capacitance method. (b) Find the time the shafts have to be in the furnace. (c) Determine total energy transfer during this time. Assume: p= 7800 kg/m³, k= 54.2 W/m.K, c= 541 J/kg.K, a = 1.21x10³ m²/s. Show all calculations.

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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Carbon steel shafts of 0.2 m diameter and 1.2 m long are heat treated in a gas-fired furnace whose gases are at 1400 K and provide a convection coefficient of 90 W/m².K. The shafts enter the furnace at 300 K, and remain in the furnace until they achieve a centerline temperature of 850 K. (a) Show whether you can use the lumped capacitance method. (b) Find the time the shafts have to be in the furnace. (c) Determine total energy transfer during this time. Assume: p= 7800 kg/m², k= 54.2 W/m.K, c= 541 J/kg.K, a = 1.21x10³ m²/s. Show all calculations.
Transcribed Image Text:Carbon steel shafts of 0.2 m diameter and 1.2 m long are heat treated in a gas-fired furnace whose gases are at 1400 K and provide a convection coefficient of 90 W/m².K. The shafts enter the furnace at 300 K, and remain in the furnace until they achieve a centerline temperature of 850 K. (a) Show whether you can use the lumped capacitance method. (b) Find the time the shafts have to be in the furnace. (c) Determine total energy transfer during this time. Assume: p= 7800 kg/m², k= 54.2 W/m.K, c= 541 J/kg.K, a = 1.21x10³ m²/s. Show all calculations.
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