A plane wall of a furnace is fabricated from plain

Chapter 5, Problem 5.22

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A plane wall of a furnace is fabricated from plain carbonsteel (k?60 W/m?K, ??7850 kg/m3, c?430 J/kg?K)and is of thickness L?10 mm. To protect it from thecorrosive effects of the furnace combustion gases, onesurface of the wall is coated with a thin ceramic filmthat, for a unit surface area, has a thermal resistance of?0.01 m2?K/W. The opposite surface is well insu-lated from the surroundings. At furnace start-up the wall is at an initial temperatureof Ti?300 K, and combustion gases at T??1300 Kenter the furnace, providing a convection coefficient ofh?25 W/m2?K at the ceramic film. Assuming thefilm to have negligible thermal capacitance, how longwill it take for the inner surface of the steel to achievea temperature of Ts,i?1200 K? What is the tempera-ture Ts,oof the exposed surface of the ceramic film atthis time?

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