7. A steel pipeline, 2-in, schedule 40 pipe (wall thickness =3.91 mm), contains bismuth liquid flowing...

 

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7. A steel pipeline, 2-in, schedule 40 pipe (wall thickness =3.91 mm), contains bismuth liquid flowing at the rate of 2.0 kg s at a temperature of 720 K. The pipeline is covered with 25.4 mm of insulation. The outer surface of the tube wall insulation is maintained at 300 K at a room temperature of 290 K. The physical properties of the liquid and the steel pipeline are listed below: Thermal conductivity of the steel Thermal conductivity of the insulation Thermal conductivity of bismuth Viscosity of bismuth Heat capacity of bismuth Outer surface heat convective coefficient = 45 W m²¹ K-¹ = 0.182 W m¹¹ K-¹ = 15.6 W m¹¹ K-¹ = 1.34 x 10¹³ Pas = 149 Jkg¹¹ K-¹ = 11.35 W m² K-¹ a. Sketch a schematic diagram of the heat transfer profile. b. Calculate the heat loss by conduction for 30.5 m of pipe. c. Determine the heat transfer coefficient of liquid bismuth. Additional information: h₁ = (0.625) No (2 marks) for L/D> 60 and 100 ≤Npe ≤ 10,000 (8 marks) d. What is the overall heat transfer coefficient, U that is constant throughout the pipe? Comment briefly by relating your answer with the liquid metal heat transfer. (6 marks) (4 marks) 7. A steel pipeline, 2-in, schedule 40 pipe (wall thickness =3.91 mm), contains bismuth liquid flowing at the rate of 2.0 kg s at a temperature of 720 K. The pipeline is covered with 25.4 mm of insulation. The outer surface of the tube wall insulation is maintained at 300 K at a room temperature of 290 K. The physical properties of the liquid and the steel pipeline are listed below: Thermal conductivity of the steel Thermal conductivity of the insulation Thermal conductivity of bismuth Viscosity of bismuth Heat capacity of bismuth Outer surface heat convective coefficient = 45 W m²¹ K-¹ = 0.182 W m¹¹ K-¹ = 15.6 W m¹¹ K-¹ = 1.34 x 10¹³ Pas = 149 Jkg¹¹ K-¹ = 11.35 W m² K-¹ a. Sketch a schematic diagram of the heat transfer profile. b. Calculate the heat loss by conduction for 30.5 m of pipe. c. Determine the heat transfer coefficient of liquid bismuth. Additional information: h₁ = (0.625) No (2 marks) for L/D> 60 and 100 ≤Npe ≤ 10,000 (8 marks) d. What is the overall heat transfer coefficient, U that is constant throughout the pipe? Comment briefly by relating your answer with the liquid metal heat transfer. (6 marks) (4 marks)

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