3. A circulating cooling water system is used for the coolant in a shell and tube heat exchanger. The cooling water is first pumped through a refrigerated cooler and then through the heat exchanger. At the design flow rate of q = 400 gpm, the water pressure drop through the refrigerated cooler is 10 psi, and the pressure drop through the heat exchanger is 15 psi. The water pressure drops through the refrigerated cooler and heat exchanger are proportional to the flow rate squared. The water supply pump discharge pressure in psig is given by the following equation to overcome losses in the cooler, heat exchanger and control valve: P = 80 - 2x10 -5 -52 92 (a) Determine the valve coefficient Cv if the required maximum water flow rate is 1.6 times greater than the design flow rate. (b) Consider a control valve with linear trim and equal percentage control valves with R = 20 and R = 50. Compare the three control valves by plotting the installed valve characteristics (q vs. ). Which valve would you recommend and why?

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
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3. A circulating cooling water system is used for the coolant in a shell and tube heat exchanger. The
cooling water is first pumped through a refrigerated cooler and then through the heat exchanger. At
the design flow rate of q = 400 gpm, the water pressure drop through the refrigerated cooler is 10 psi,
and the pressure drop through the heat exchanger is 15 psi. The water pressure drops through the
refrigerated cooler and heat exchanger are proportional to the flow rate squared. The water supply
pump discharge pressure in psig is given by the following equation to overcome losses in the cooler,
heat exchanger and control valve:
P = 80 - 2x10 -5
-52
92
(a) Determine the valve coefficient Cv if the required maximum water flow rate is 1.6 times greater
than the design flow rate.
(b) Consider a control valve with linear trim and equal percentage control valves with R = 20 and R =
50. Compare the three control valves by plotting the installed valve characteristics (q vs. ).
Which valve would you recommend and why?
Transcribed Image Text:3. A circulating cooling water system is used for the coolant in a shell and tube heat exchanger. The cooling water is first pumped through a refrigerated cooler and then through the heat exchanger. At the design flow rate of q = 400 gpm, the water pressure drop through the refrigerated cooler is 10 psi, and the pressure drop through the heat exchanger is 15 psi. The water pressure drops through the refrigerated cooler and heat exchanger are proportional to the flow rate squared. The water supply pump discharge pressure in psig is given by the following equation to overcome losses in the cooler, heat exchanger and control valve: P = 80 - 2x10 -5 -52 92 (a) Determine the valve coefficient Cv if the required maximum water flow rate is 1.6 times greater than the design flow rate. (b) Consider a control valve with linear trim and equal percentage control valves with R = 20 and R = 50. Compare the three control valves by plotting the installed valve characteristics (q vs. ). Which valve would you recommend and why?
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