To maximize production and minimize pumping costs, crude oil is heated to reduce its viscosity during transportation from a production field. (1) Consider a pipe-in-pipe configuration consisting of concentric steel tubes with an intervening insulating material. The inner tube is used to transport warm crude oil through cold ocean water. The inner steel pipe (k, = 45 W/m-K) has an inside diameter of D = 150 mm and wall thickness t,= 20 mm while the outer steel pipe has an inside diameter of D,2 = 250 mm and wall thickness f, = 1,. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (k, = 0.0425 W/m K) between the two pipes does not exceed its maximum service temperature of Tuax = 70°C. The ocean water is at 7o = -5°C and provides an external convection heat transfer coefficient of , = 500 Wim-K. The comvection coefficient associated with the flowing crude oil is h, = 450 W/m?-K. (2) It is proposed to enhance the performance of the pipe-in-pipe device by replacing a thin (t.- 10 mm) section of polyurethane located at the outside of the inner pipe with an aerogel insulation material (k, = 0.012 Wim-K). Determine the maximum allowable crude oil temperature to ensure maximum polyurethane temperatures are below Tman = 70°C. Physical Properties Mathematical Functions Determine the maximum crude oil temperature if no aerogel is used, in °C. Determine the maximum crude oll temperature if aerogel is used, in C. °C Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m-K/W. m-K/W

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To maximize production and minimize pumping costs, crude oil is heated to reduce its viscosity during transportation from
a production field.
(1) Consider a pipe-in-pipe configuration consisting of concentric steel tubes with an intervening insulating material. The
inner tube is used to transport warm crude oil through cold ocean water. The inner steel pipe (k, = 45 W/m-K) has an
inside diameter of Du = 150 mm and wall thickness t; = 20 mm while the outer steel pipe has an inside diameter of
Di2 = 250 mm and wall thickness I, = 1,. Determine the maximum allowable crude oil temperature to ensure the
polyurethane foam insulation (kp = 0.0425 W/m-K) between the two pipes does not exceed its maximum service
temperature of Tp.max = 70°C. The ocean water is at T = -5°C and provides an external convection heat transfer
coefficient of , = 500 W/m?-K. The comvection coefficient associated with the flowing crude oil is h = 450 W/m?-K.
(2) It is proposed to enhance the performance of the pipe-in-pipe device by replacing a thin (f. = 10 mm) section of
polyurethane located at the outside of the inner pipe with an aerogel insulation material (k, = 0.012 W/m-K). Determine
the maximum allowable crude oil temperature to ensure maximum polyurethane temperatures are below Tmax =
70°C.
Physical Properties Mathematical Functions
Determine the maximum crude oil temperature if no aerogel is used, in °C.
T.
i
Determine the maximum crude oil temperature if aerogel is used, in °C.
i
°C
Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m-K/W.
R' tcond.p.ae =
m-K/W
Transcribed Image Text:To maximize production and minimize pumping costs, crude oil is heated to reduce its viscosity during transportation from a production field. (1) Consider a pipe-in-pipe configuration consisting of concentric steel tubes with an intervening insulating material. The inner tube is used to transport warm crude oil through cold ocean water. The inner steel pipe (k, = 45 W/m-K) has an inside diameter of Du = 150 mm and wall thickness t; = 20 mm while the outer steel pipe has an inside diameter of Di2 = 250 mm and wall thickness I, = 1,. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (kp = 0.0425 W/m-K) between the two pipes does not exceed its maximum service temperature of Tp.max = 70°C. The ocean water is at T = -5°C and provides an external convection heat transfer coefficient of , = 500 W/m?-K. The comvection coefficient associated with the flowing crude oil is h = 450 W/m?-K. (2) It is proposed to enhance the performance of the pipe-in-pipe device by replacing a thin (f. = 10 mm) section of polyurethane located at the outside of the inner pipe with an aerogel insulation material (k, = 0.012 W/m-K). Determine the maximum allowable crude oil temperature to ensure maximum polyurethane temperatures are below Tmax = 70°C. Physical Properties Mathematical Functions Determine the maximum crude oil temperature if no aerogel is used, in °C. T. i Determine the maximum crude oil temperature if aerogel is used, in °C. i °C Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m-K/W. R' tcond.p.ae = m-K/W
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