A 10 cm thick and 1 m wide long steel plate is immersed in an oil bath at T0 = 40 ° C when the temperature is Ti = 240 ° C. The heat transfer coefficient between the plate and the oil is h = 600 W / m2K and p= 7833 kg / m3 for steel, cp = 465 J / kgK, k = 43 W / mK, α = 1.2x10-5m2 / s according to (a) How long will the core temperature of the steel plate be 100 ° C? (b) What will be the temperature inside 3 cm from the surface of the steel plate? (c) What will be the amount of heat transferred to the unit length plate during this time?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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A 10 cm thick and 1 m wide long steel plate is immersed in an oil bath at T0 = 40 ° C when the temperature is Ti = 240 ° C. The heat transfer coefficient between the plate and the oil is h = 600 W / m2K and p= 7833 kg / m3 for steel, cp = 465 J / kgK, k = 43 W / mK, α = 1.2x10-5m2 / s according to

(a) How long will the core temperature of the steel plate be 100 ° C?

(b) What will be the temperature inside 3 cm from the surface of the steel plate?

(c) What will be the amount of heat transferred to the unit length plate during this time?

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