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A shell-and-tube heat exchanger is used to cool compressed liquid methanol from 176 °F to 104 °F. The methanol flows on the shell side of the exchanger. The coolant is water that rises in temperature from 50 °F to 86 °F and flows within the tubes at a rate of 68.9 kg s-1. Finding the appropriate thermophysical data and applying the proper equations, you are required to do the following: (a) Calculate i) methanol mass flow rate in the exchanger, ii) methanol volumetric flowrate at the inlet of the exchanger. (b) i) For the counter-current flow of the fluids calculate the log mean temperature difference, ii) explain the purpose of calculating this difference, iii) explain, quantitatively, why is the counter-current flow in heat exchangers preferred to co-current flow. (c) i) Calculate the tube-side convective heat transfer coefficient (h) if the heat exchanger has 508 tubes of 20 mm outside diameter and thickness of 2mm; justify the selection of the proper equation, ii) give proper expressions for the Reynolds (Re) and Nusselt (Nu) numbers and explain their roles in the procedure of calculating convective heat transfer coefficients. (d) i) Calculate the total length of the heat exchanger tubes, if the overall heat transfer coefficient is 1070 W m²K-1, ii) explain the general concept of the overall heat transfer coefficient.

A shell-and-tube heat exchanger is used to cool compressed liquid methanol from 176 °F to 104 °F. The methanol flows on the shell side of the exchanger. The coolant is water that rises in temperature from 50 °F to 86 °F and flows within the tubes at a rate of 68.9 kg s-1. Finding the appropriate thermophysical data and applying the proper equations, you are required to do the following: (a) Calculate i) methanol mass flow rate in the exchanger, ii) methanol volumetric flowrate at the inlet of the exchanger. (b) i) For the counter-current flow of the fluids calculate the log mean temperature difference, ii) explain the purpose of calculating this difference, iii) explain, quantitatively, why is the counter-current flow in heat exchangers preferred to co-current flow. (c) i) Calculate the tube-side convective heat transfer coefficient (h) if the heat exchanger has 508 tubes of 20 mm outside diameter and thickness of 2mm; justify the selection of the proper equation, ii) give proper expressions for the Reynolds (Re) and Nusselt (Nu) numbers and explain their roles in the procedure of calculating convective heat transfer coefficients. (d) i) Calculate the total length of the heat exchanger tubes, if the overall heat transfer coefficient is 1070 W m²K-1, ii) explain the general concept of the overall heat transfer coefficient.

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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A shell-and-tube heat exchanger is used to cool compressed liquid methanol from 176 °F to 104 °F. The methanol flows on the shell side of the exchanger. The coolant is water that rises in temperature from 50 °F to 86 °F and flows within the tubes at a rate of 68.9 kg s-1. Finding the appropriate thermophysical data and applying the proper equations, you are required to do the following: (a) Calculate i) methanol mass flow rate in the exchanger, ii) methanol volumetric flowrate at the inlet of the exchanger. (b) i) For the counter-current flow of the fluids calculate the log mean temperature difference, ii) explain the purpose of calculating this difference, iii) explain, quantitatively, why is the counter-current flow in heat exchangers preferred to co-current flow. (c) i) Calculate the tube-side convective heat transfer coefficient (h) if the heat exchanger has 508 tubes of 20 mm outside diameter and thickness of 2mm; justify the selection of the proper equation, ii) give proper expressions for the Reynolds (Re) and Nusselt (Nu) numbers and explain their roles in the procedure of calculating convective heat transfer coefficients. (d) i) Calculate the total length of the heat exchanger tubes, if the overall heat transfer coefficient is 1070 W m²K-1, ii) explain the general concept of the overall heat transfer coefficient.
Transcribed Image Text:A shell-and-tube heat exchanger is used to cool compressed liquid methanol from 176 °F to 104 °F. The methanol flows on the shell side of the exchanger. The coolant is water that rises in temperature from 50 °F to 86 °F and flows within the tubes at a rate of 68.9 kg s-1. Finding the appropriate thermophysical data and applying the proper equations, you are required to do the following: (a) Calculate i) methanol mass flow rate in the exchanger, ii) methanol volumetric flowrate at the inlet of the exchanger. (b) i) For the counter-current flow of the fluids calculate the log mean temperature difference, ii) explain the purpose of calculating this difference, iii) explain, quantitatively, why is the counter-current flow in heat exchangers preferred to co-current flow. (c) i) Calculate the tube-side convective heat transfer coefficient (h) if the heat exchanger has 508 tubes of 20 mm outside diameter and thickness of 2mm; justify the selection of the proper equation, ii) give proper expressions for the Reynolds (Re) and Nusselt (Nu) numbers and explain their roles in the procedure of calculating convective heat transfer coefficients. (d) i) Calculate the total length of the heat exchanger tubes, if the overall heat transfer coefficient is 1070 W m²K-1, ii) explain the general concept of the overall heat transfer coefficient.
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