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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, = 40 W/m-K) has an inside diameter of D1 = 150 mm and wall thickness f; = 20 mm while the outer steel pipe has an inside diameter of D;2 = 250 mm and wall thickness t, = t. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (k, = 0.0675 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.0 = -5°C and provides an external convection heat transfer coefficient of h, = 500 W/m2-K. The convection coefficient associated with the flowing crude oil is h; = 450 W/m2-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 W/m-K). Determine the maximum allowable crude oil temperature to ensure maximum polyurethane temperatures are below Tpmax = 70°C. Physical Properties Mathematical Functions

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, = 40 W/m-K) has an inside diameter of D1 = 150 mm and wall thickness f; = 20 mm while the outer steel pipe has an inside diameter of D;2 = 250 mm and wall thickness t, = t. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (k, = 0.0675 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.0 = -5°C and provides an external convection heat transfer coefficient of h, = 500 W/m2-K. The convection coefficient associated with the flowing crude oil is h; = 450 W/m2-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 W/m-K). Determine the maximum allowable crude oil temperature to ensure maximum polyurethane temperatures are below Tpmax = 70°C. Physical Properties Mathematical Functions

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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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, = 40 W/m-K) has an inside diameter of Di1 = 150 mm and wall thickness f; = 20 mm while the outer steel pipe has an inside diameter of D;i2 = 250 mm and wall thickness t, = t;. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (k, = 0.0675 W/m-K) between the two pipes does not exceed its maximum service temperature of Tp, max = 70°C. The ocean water is at T2,0 = -5°C and provides an external convection heat transfer coefficient of h, = 500 W/m2-K. The convection coefficient associated with the flowing crude oil is h, = 450 W/m2-K. (2) It is proposed to enhance the performance of the pipe-in-pipe device by replacing a thin (ta = 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 T, max = 70°C. Physical Properties Mathematical Functions
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, = 40 W/m-K) has an inside diameter of Di1 = 150 mm and wall thickness f; = 20 mm while the outer steel pipe has an inside diameter of D;i2 = 250 mm and wall thickness t, = t;. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (k, = 0.0675 W/m-K) between the two pipes does not exceed its maximum service temperature of Tp, max = 70°C. The ocean water is at T2,0 = -5°C and provides an external convection heat transfer coefficient of h, = 500 W/m2-K. The convection coefficient associated with the flowing crude oil is h, = 450 W/m2-K. (2) It is proposed to enhance the performance of the pipe-in-pipe device by replacing a thin (ta = 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 T, max = 70°C. Physical Properties Mathematical Functions
Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m-K/W. m-K/W R't,cond.p 0.000498
Transcribed Image Text:Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m-K/W. m-K/W R't,cond.p 0.000498
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