Reference no: EM132724522
QUESTION 1
A plane wall of a furnace is fabricated from plain carbon steel (k = 60 W/m.K, p= 7850 kg/m3, Cp = 430 J/kg . K) and is of thickness L = 10mm. To protect it from the corrosive effects of the furnace combustion gases, one surface of the wall is coated with a thin ceramic film that, for a unit surface area, has a thermal resistance of 0.02 m2.1(/W. The opposite surface is well insulated from the surroundings. At furnace start-up the wall is at an initial temperature of T1= 200 K, and combustion gases at Teo = 1200 K enter the furnace, providing a convection coefficient of h = 25 W/m2 .K at the ceramic film. Assuming the film to have negligible thermal capacitance. How long will it take for the inner surface of the steel to achieve a temperature of Tsf = 700 K?
QUESTION 2
A plane wall of a furnace is fabricated from plain carbon steel (k = 60 W/m.K, p= 7850 kg/m3, Cp = 430 J/kg.K) and is of thickness L = 10 mm. To protect it from the corrosive effects of the furnace combustion gases, one surface of the wall is coated with a thin ceramic film that, for a unit surface area, has a thermal resistance of 0.01 m2.K/W. The opposite surface is well insulated from the surroundings. At furnace start-up the wall is at an initial temperature of Tj = 200 K, and combustion gases at Teo = 1200 K enter the furnace, providing a convection coefficient of h = 25 W/m2.K at the ceramic film. Assuming the film to have negligible thermal capacitance.
What is the temperature Ts ,0 of the exposed surface of the ceramic film when the inner surface of the steel will achieve a temperature of Tsf = 900 K
QUESTION 3
A thick-walled, stainless steel (AISI 316) pipe of inside and outside diameters Di = 25 mm and Do = 40 mm is heated electrically to provide a uniform heat generation rate of q_dot = 2.0x106 W/m3. The outer surface of the pipe is insulated, while water flows through the pipe at a rate of m_dot = 0.15kg/s. The water inlet temperature is Trn j =15 °C and the desired outlet temperature is Ttmc, = 45°C (Properties of water at 30 °C: cp = 4178 J/kg.K, k = 0.617 W/m.K, mu = 8.03x10-4 kgq-n-1-s-1. Pr = 5.45 ). Under the above conditions, what is the required pipe length?