To maximize production and minimize pumping costs, crude oil is heated to reduce its viscosity during transportation from aproduction field.(1) Consider a pipe-in-pipe configuration consisting of concentric steel tubes with an intervening insulating material. The inner tube isused to transport warm crude oil through cold ocean water. The inner steel pipe (k, = 45 W/m-K) has an inside diameter of D;, 1150 mm and wall thickness f; = 20 mm while the outer steel pipe has an inside diameter of D; 2 = 250 mm and wall thicknesst, = tị. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (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 andprovides an external convection heat transfer coefficient of h.flowing crude oil is h; = 450 W/m²-K.0.03 W/m-K)500 W/m2-K. The convection coefficient associated with the(2) It is proposed to enhance the performance of the pipe-in-pipe device by replacing a thin (ta = 10 mm) section of polyurethanelocated at the outside of the inner pipe with an aerogel insulation material (k, = 0.012 W/m-K). Determine the maximum allowablecrude oil temperature to ensure maximum polyurethane temperatures are below T,, max = 70°C.Physical Properties Mathematical FunctionsStep 1Your answer is correct.Determine the convection heat transfer resistance on the inside of the pipe per unit length, in m-K/W.R't.conv.i0.004715m-K/W Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m-K/W.R'1.cond.pm-K/WDetermine the conduction resistance of the polyurethane per unit length when aerogel is used, in m-K/W.R' t.cond.p.aem-K/WiDetermine the maximum crude oil temperature if no aerogel is used, in °C.T =°CDetermine the maximum crude oil temperature if aerogel is used, in °C.T ae =i°C

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(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 Di,1 = 150 mm and wall thickness t; = 20mm while the outer steel pipe has an inside diameter of Di,2 = 250 mm and wall thickness t, = t;. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (k, = 0.03 W/m-K) between the two pipes does not exceed its maximum service temperature of T, max = 70°C. The ocean water is at T, = -5°C and provides an external convection heat transfer coefficient of h, flowing crude oil is h; = 450 W/m2-K. 500 W/m2-K. The convection coefficient associated with the

(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 Di,1 = 150 mm and wall thickness t; = 20mm while the outer steel pipe has an inside diameter of Di,2 = 250 mm and wall thickness t, = t;. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (k, = 0.03 W/m-K) between the two pipes does not exceed its maximum service temperature of T, max = 70°C. The ocean water is at T, = -5°C and provides an external convection heat transfer coefficient of h, flowing crude oil is h; = 450 W/m2-K. 500 W/m2-K. The convection coefficient associated with the

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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