A pipeline is constructed by a proposed material M with thermal conductivity of 0.0015 W/(m-K) to transfer fluid from one process equipment to another. Suppose the pipeline has a length of 20 m and an inner radius of 0.0254 m. The inner wall temperature of the pipeline is assumed to be the same as the fluid temperature at 440°C, while the heat loss to surroundings is at 70 W. a) Determine the thickness of the pipeline if the outer wall temperature of the pipeline must be maintained at 300°C

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A pipeline is constructed by a proposed material M with thermal conductivity of
0.0015 W/(m-K) to transfer fluid from one process equipment to another. Suppose the pipeline
has a length of 20 m and an inner radius of 0.0254 m. The inner wall temperature of the pipeline
is assumed to be the same as the fluid temperature at 440°C, while the heat loss to surroundings
is at 70 W.
a) Determine the thickness of the pipeline if the outer wall temperature of the pipeline must
be maintained at 300°C.
b) Suppose there are four alternative materials with reduced costs that can be utilized to
construct the pipeline instead of material M. The four materials with their thermal
conductivity and costs are listed in Table 2. An additional design factor to consider is that
the outer wall temperature of the pipeline must never be higher than 310°C. Using the same
thickness as determined in part (a), evaluate which of the four materials should be chosen
to construct the heating coil.
Table 2
Material
Thermal conductivity (W/m K)
Cost per unit volume ($)
A
0.0020
100
B
0.0018
300
0.0014
400
D
0.0012
200
Transcribed Image Text:A pipeline is constructed by a proposed material M with thermal conductivity of 0.0015 W/(m-K) to transfer fluid from one process equipment to another. Suppose the pipeline has a length of 20 m and an inner radius of 0.0254 m. The inner wall temperature of the pipeline is assumed to be the same as the fluid temperature at 440°C, while the heat loss to surroundings is at 70 W. a) Determine the thickness of the pipeline if the outer wall temperature of the pipeline must be maintained at 300°C. b) Suppose there are four alternative materials with reduced costs that can be utilized to construct the pipeline instead of material M. The four materials with their thermal conductivity and costs are listed in Table 2. An additional design factor to consider is that the outer wall temperature of the pipeline must never be higher than 310°C. Using the same thickness as determined in part (a), evaluate which of the four materials should be chosen to construct the heating coil. Table 2 Material Thermal conductivity (W/m K) Cost per unit volume ($) A 0.0020 100 B 0.0018 300 0.0014 400 D 0.0012 200
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