Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m-K/W. R' 1,condp m-K/W Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m-K/W R' t.cond.p.ae m-K/W Determine the maximum crude oil temperature if no aerogel is used, in °C. i °C Determine the maximum crude oil temperature if aerogel is used, in °C. T, ae °C i

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Chapter7: Forced Convection Inside Tubes And Ducts
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Problem 7.37P
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Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m-K/W.
R'
1.cond.p
m-K/W
Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m-K/W.
R' t.cond.p.ae
m-K/W
i
Determine the maximum crude oil temperature if no aerogel is used, in °C.
T =
°C
Determine the maximum crude oil temperature if aerogel is used, in °C.
T ae =
i
°C
Transcribed Image Text:Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m-K/W. R' 1.cond.p m-K/W Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m-K/W. R' t.cond.p.ae m-K/W i Determine the maximum crude oil temperature if no aerogel is used, in °C. T = °C Determine the maximum crude oil temperature if aerogel is used, in °C. T ae = i °C
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;, 1 =
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
t, = t;. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (kp = 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,o = -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 hị = 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.
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 D;, 1 = 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 t, = t;. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (kp = 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,o = -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 hị = 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.
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