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Question 3 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. P 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) A 0.0020 B 0.0018 0.0014 0.0012 TO A с D Cost per unit volume ($) 100 300 400 200

Question 3 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. P 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) A 0.0020 B 0.0018 0.0014 0.0012 TO A с D Cost per unit volume ($) 100 300 400 200

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
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Appendix I Heat Transfer Heat transfer by conduction Q KA(T₁-T₂) Ax Hollow cylinder: Q= Hollow sphere: Q= t = -(X₁-X.) AR t= Drying of Solids Constant Rate Drying Period Falling Rate Drying Period (through origin) L,X Xc AR X₂ t == n a= T₁-T₂ R In Falling Rate Drying Period (does not through origin) L₂R aA R₂ R-R₂ X₂-X₂ 2aLk(T.-T.) h 2 " Absorption Henry's Law 47k (T-T₂) 1 X10 YA=H'XA H' = H/P Material Balance on Solute (A) Y42 1-Y2 1-y
Transcribed Image Text:Appendix I Heat Transfer Heat transfer by conduction Q KA(T₁-T₂) Ax Hollow cylinder: Q= Hollow sphere: Q= t = -(X₁-X.) AR t= Drying of Solids Constant Rate Drying Period Falling Rate Drying Period (through origin) L,X Xc AR X₂ t == n a= T₁-T₂ R In Falling Rate Drying Period (does not through origin) L₂R aA R₂ R-R₂ X₂-X₂ 2aLk(T.-T.) h 2 " Absorption Henry's Law 47k (T-T₂) 1 X10 YA=H'XA H' = H/P Material Balance on Solute (A) Y42 1-Y2 1-y
Question 3 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. H 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) A 0.0020 B 0.0018 с 0.0014 D 0.0012 Cost per unit volume ($) 100 300 400 200
Transcribed Image Text:Question 3 A pipeline is constructed by a proposed material M with thermal conductivity of 0.0015 W/(m-K) to transfer fluid from one process equipment to another. Suppose the pipeline has a length of 20 m and an inner radius of 0.0254 m. The inner wall temperature of the pipeline is assumed to be the same as the fluid temperature at 440°C, while the heat loss to surroundings is at 70 W. a) Determine the thickness of the pipeline if the outer wall temperature of the pipeline must be maintained at 300°C. H b) Suppose there are four alternative materials with reduced costs that can be utilized to construct the pipeline instead of material M. The four materials with their thermal conductivity and costs are listed in Table 2. An additional design factor to consider is that the outer wall temperature of the pipeline must never be higher than 310°C. Using the same thickness as determined in part (a), evaluate which of the four materials should be chosen to construct the heating coil. Table 2 Material Thermal conductivity (W/m.K) A 0.0020 B 0.0018 с 0.0014 D 0.0012 Cost per unit volume ($) 100 300 400 200
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