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 ( ks = 40 W/m-K) has an inside diameter of Di, 1 = 150 mm and wall thickness t; = 20 mm while the outer steel pipe has an inside diameter of D2 = 250 mm and wall thickness, = 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 Tp, max = 70°C. The ocean water is at Too, o ho T = -5°C and provides an external convection heat transfer coefficient of h = 500 W/m²K. The convection coefficient associated with the flowing crude oil is h₁ = 450 W/m²K. (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 T p. max=70°C. Physical Properties Mathematical Functions Step 1 Determine the convection heat transfer resistance on the inside of the pipe per unit length, in m·K/W. R' 1,conv.i i m-K/W Save for Later Step 2 Attempts: unlimited Submit Answer Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m·K/W. R' 1,cond,p = i m-K/W Step 3 Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m·K/W. R' t,cond,p,ae Save for Later Step 4 m.K/W Attempts: unlimited Submit Answer Determine the maximum crude oil temperature if no aerogel is used, in °C. T∞ = i Save for Later Step 5 °C Attempts: unlimited Submit Answer Determine the maximum crude oil temperature if aerogel is used, in °C. Too, ae i eTextbook and Media °C Save for Later

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.4DP
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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 (
ks = 40 W/m-K) has an inside diameter of Di, 1 = 150 mm and wall thickness t; = 20 mm while the outer
steel pipe has an inside diameter of D2 = 250 mm and wall thickness, = 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 Tp, max = 70°C. The ocean water is at
Too, o
ho
T = -5°C and provides an external convection heat transfer coefficient of h = 500 W/m²K. The
convection coefficient associated with the flowing crude oil is h₁ = 450 W/m²K.
(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 T
p. max=70°C.
Physical Properties Mathematical Functions
Step 1
Determine the convection heat transfer resistance on the inside of the pipe per unit length, in m·K/W.
R' 1,conv.i
i
m-K/W
Save for Later
Step 2
Attempts: unlimited Submit Answer
Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m·K/W.
R' 1,cond,p =
i
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 ( ks = 40 W/m-K) has an inside diameter of Di, 1 = 150 mm and wall thickness t; = 20 mm while the outer steel pipe has an inside diameter of D2 = 250 mm and wall thickness, = 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 Tp, max = 70°C. The ocean water is at Too, o ho T = -5°C and provides an external convection heat transfer coefficient of h = 500 W/m²K. The convection coefficient associated with the flowing crude oil is h₁ = 450 W/m²K. (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 T p. max=70°C. Physical Properties Mathematical Functions Step 1 Determine the convection heat transfer resistance on the inside of the pipe per unit length, in m·K/W. R' 1,conv.i i m-K/W Save for Later Step 2 Attempts: unlimited Submit Answer Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m·K/W. R' 1,cond,p = i m-K/W
Step 3
Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m·K/W.
R'
t,cond,p,ae
Save for Later
Step 4
m.K/W
Attempts: unlimited
Submit Answer
Determine the maximum crude oil temperature if no aerogel is used, in °C.
T∞ =
i
Save for Later
Step 5
°C
Attempts: unlimited
Submit Answer
Determine the maximum crude oil temperature if aerogel is used, in °C.
Too, ae
i
eTextbook and Media
°C
Save for Later
Transcribed Image Text:Step 3 Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m·K/W. R' t,cond,p,ae Save for Later Step 4 m.K/W Attempts: unlimited Submit Answer Determine the maximum crude oil temperature if no aerogel is used, in °C. T∞ = i Save for Later Step 5 °C Attempts: unlimited Submit Answer Determine the maximum crude oil temperature if aerogel is used, in °C. Too, ae i eTextbook and Media °C Save for Later
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