A cylindrical pipeline that is used for the transport of crude oil is buried in the soil horizontally such that its centerline is 1.5 m (z) below the surface. The pipe has the outer diameter of 0.5 m (D) and is coated with a 100 mm thick layer of glass insulation on the outside. Assume that heated oil at 120 °C flows through the pipe and the soil surface temperature is at 0 °C (T:). The soil thermal conductivity is known as 0.5 W/m-K, and the glass insulation thermal conductivity is known as 0.07 W/m-K. What is the rate of heat loss per unit length of the pipe (W/m)?
A cylindrical pipeline that is used for the transport of crude oil is buried in the soil horizontally such that its centerline is 1.5 m (z) below the surface. The pipe has the outer diameter of 0.5 m (D) and is coated with a 100 mm thick layer of glass insulation on the outside. Assume that heated oil at 120 °C flows through the pipe and the soil surface temperature is at 0 °C (T:). The soil thermal conductivity is known as 0.5 W/m-K, and the glass insulation thermal conductivity is known as 0.07 W/m-K. What is the rate of heat loss per unit length of the pipe (W/m)?
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.53P
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![Shape Factor Conduction Problem
A cylindrical pipeline that is used for the transport of crude oil is buried in the soil horizontally
such that its centerline is 1.5 m (z) below the surface. The pipe has the outer diameter of 0.5 m
(D) and is coated with a 100 mm thick layer of glass insulation on the outside. Assume that
heated oil at 120 °C flows through the pipe and the soil surface temperature is at 0 °C (T2). The
soil thermal conductivity is known as 0.5 W/m-K, and the glass insulation thermal conductivity
is known as 0.07 W/m-K. What is the rate of heat loss per unit length of the pipe (W/m)?
Soil
Glass
insulation
Oil, T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52a83b91-0b62-4e56-88fd-e5474e4375c5%2F923f8765-9580-405d-8fe9-93391fb8c6f7%2F7p8k6hf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Shape Factor Conduction Problem
A cylindrical pipeline that is used for the transport of crude oil is buried in the soil horizontally
such that its centerline is 1.5 m (z) below the surface. The pipe has the outer diameter of 0.5 m
(D) and is coated with a 100 mm thick layer of glass insulation on the outside. Assume that
heated oil at 120 °C flows through the pipe and the soil surface temperature is at 0 °C (T2). The
soil thermal conductivity is known as 0.5 W/m-K, and the glass insulation thermal conductivity
is known as 0.07 W/m-K. What is the rate of heat loss per unit length of the pipe (W/m)?
Soil
Glass
insulation
Oil, T
![TABLE 4.1 Conduction shape factors and dimensionless conduction heat rates for
selected systems.
(a) Shape factors (g = Sk(T, - T)]
System
Schematic
Restrictions
Shape Factor
Case 1
Isothermal sphere buried in a semi-
infinite medium
z> D2
2mD
1- DIA2
Case 2
2nL
Horizontal isothermal cylinder of length L
buried in a semi-infinite medium
L>D
cosh (2z/D)
L>D
2mL
z> 3D/2
In (47/D)
Case 3
T2
Vertical cylinder in a semi-infinite
medium
2mL
In (4LID)
L>D
Case 4
2mL
Conduction between two cylinders of
length L in infinite medium
L> D,. D,
(4w² -Di - D
20,D.
cosh
Case 5
Horizontal circular cylinder
of length L midway between
parallel planes of equal
length and infinite width
z> D/2
2nL
In (87/TD)
Case 6
Circular eylinder of length L
centered in a square solid of
equal length
w>D
2mL
In (1.08 w/D)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52a83b91-0b62-4e56-88fd-e5474e4375c5%2F923f8765-9580-405d-8fe9-93391fb8c6f7%2F2xj4hqa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:TABLE 4.1 Conduction shape factors and dimensionless conduction heat rates for
selected systems.
(a) Shape factors (g = Sk(T, - T)]
System
Schematic
Restrictions
Shape Factor
Case 1
Isothermal sphere buried in a semi-
infinite medium
z> D2
2mD
1- DIA2
Case 2
2nL
Horizontal isothermal cylinder of length L
buried in a semi-infinite medium
L>D
cosh (2z/D)
L>D
2mL
z> 3D/2
In (47/D)
Case 3
T2
Vertical cylinder in a semi-infinite
medium
2mL
In (4LID)
L>D
Case 4
2mL
Conduction between two cylinders of
length L in infinite medium
L> D,. D,
(4w² -Di - D
20,D.
cosh
Case 5
Horizontal circular cylinder
of length L midway between
parallel planes of equal
length and infinite width
z> D/2
2nL
In (87/TD)
Case 6
Circular eylinder of length L
centered in a square solid of
equal length
w>D
2mL
In (1.08 w/D)
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