Consider a steel (K = 40.0 W/mk, P = 7940 k8 /m? , Cp = 435J/kg-k) shaft of %3D diameter 90 mm which is to be heat treated in a gas-fired furnace. The gases inside the furnace are at a steady T = 1300 K, and the heat transfer coefficient of convection is h = 70 W/m²k. If the shaft is at 310 K when it enters the furnace, %D estimate how long it must remain in the furnace to obtain a centerline temperature of 700 K, in minutes.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Steels of various grades are often heat treated to achieve particular properties,
dependent on application. However, process heating accounts for a considerable
amount of all energy use in the manufacturing sector (~35%--insane!). Therefore, it is
desirable from a financial standpoint to minimize heat treatment duration while still
obtaining the desired properties.
Consider a steel (K = 40.0 W/mk, P = 7940 k8 /m3 , Cp = 435J/kg-k) shaft of
%D
diameter 90 mm which is to be heat treated in a gas-fired furnace. The gases inside
the furnace are at a steady T = 1300 K, and the heat transfer coefficient of
convection is h = 70 W/m².
k. If the shaft is at 310 K when it enters the furnace,
estimate how long it must remain in the furnace to obtain a centerline temperature
of 700 K, in minutes.
Transcribed Image Text:Steels of various grades are often heat treated to achieve particular properties, dependent on application. However, process heating accounts for a considerable amount of all energy use in the manufacturing sector (~35%--insane!). Therefore, it is desirable from a financial standpoint to minimize heat treatment duration while still obtaining the desired properties. Consider a steel (K = 40.0 W/mk, P = 7940 k8 /m3 , Cp = 435J/kg-k) shaft of %D diameter 90 mm which is to be heat treated in a gas-fired furnace. The gases inside the furnace are at a steady T = 1300 K, and the heat transfer coefficient of convection is h = 70 W/m². k. If the shaft is at 310 K when it enters the furnace, estimate how long it must remain in the furnace to obtain a centerline temperature of 700 K, in minutes.
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