used to transport warm crude oil through cold ocean water. The inner steel pipe (k, = 40 W/m-K) has an inside diameter of D₁,1 = 150 mm and wall thickness t; = 20 mm while the outer steel pipe has an inside diameter of D₁,2 = 250 mm and wall thickness 1. = 1₁. 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 = -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 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 Tp. max = 70°C. Physical Properties Mathematical Functions Determine the convection heat transfer resistance on the inside of the pipe per unit length, in m-K/W. R' 1,conv.i= Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m-K/W. R' 1,cond.p = m-K/W i m-K/W Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m-K/W. R' 1.cond.p.ae = i m-K/W

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter7: Forced Convection Inside Tubes And Ducts

Section: Chapter Questions

Problem 7.3DP

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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.I
150 mm and wall thickness t, = 20 mm while the outer steel pipe has an inside diameter of D₁,2 = 250 mm and wall thickness
to = 1₁. 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 = -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 Tp. max = 70°C.
Physical Properties Mathematical Functions
Determine the convection heat transfer resistance on the inside of the pipe per unit length, in m-K/W.
R'
1,conv.i
i
R' 1.,cond.p
m.K/W
Determine the conduction resistance of the polyurethane per unit length without the aerogel, in m.K/W.
m-K/W
Determine the conduction resistance of the polyurethane per unit length when aerogel is used, in m.K/W.
R'1,cond,p.ae = i
m-K/W

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