These data are given: w = 250 lb/min; density = 62.5 lb/ft3;V1 = 4 ft3:V2 = 5 ft3,V3 = 6 ft3; Cp = 1 Btu/(lb-°F). A change of 1 psi from the controller changes the flow rate of heat q by 500 Btu/min. The temperature of the inlet stream may vary. There is no lag in the measuring element. What is the overall transfer function relating the temperature in tank 3 to a change in set point?
These data are given: w = 250 lb/min; density = 62.5 lb/ft3;V1 = 4 ft3:V2 = 5 ft3,V3 = 6 ft3; Cp = 1 Btu/(lb-°F). A change of 1 psi from the controller changes the flow rate of heat q by 500 Btu/min. The temperature of the inlet stream may vary. There is no lag in the measuring element. What is the overall transfer function relating the temperature in tank 3 to a change in set point?
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
Related questions
Question
Transcribed Image Text:The thermal system shown is controlled by a PD controller:
PD controller
Final
control
element
O O0
O OO
psi
°F
These data are given: w = 250 Ib/min; density = 62.5 lb/ft3;1 = 4 ft3:2 = 5 ft3;V3 = 6 ft3; Cp = 1 Btu/(lb-°F). A change of 1 psi from the
controller changes the flow rate of heat q by 500 Btu/min. The temperature of the inlet stream may vary. There is no lag in the
measuring element.
What is the overall transfer function relating the temperature in tank 3 to a change in set point?
This is one out of five questions on the same controlled process.
Transcribed Image Text:Ke(1+ tps)
A
(s + 1)(1.25s + 1)(1.5s + 1) + Kc(1+ tps)
2K (1 + t,5)
(s + 1)(s + 1.25)(s + 1.5) + 2Kc(1+ tps)
B
2Kc
(s + 1)(1.25s + 1)(1.5s + 1) + 2Kc
2K(1 + tps)
(s + 1)(1.25s + 1)(1.5s + 1) + 2Kc(1+ tp5)
D
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