Q11/ Two liquid storage systems are shown in Fig. E5.9. Each tank is 4 feet in diameter. For System I, the valve acts as a linear resistance with the flow-head relation q = 8.33 h, where q is in gal/min and h is in feet. For System II, variations in liquid level h do not affect exit flow rate q. Suppose that each system is initially at steady state with h = 6ft and q = 50 gal/min and that at time t = 0 the inlet flow rate suddenly changes from 50 to 70 gal/min. For each system, determine the following information: (a) The transfer function H'(s)/Q'(s) where the primes denote deviation variables. (b) The transient response h(t). (c) The new steady-state levels. (d) If each tank is 8 ft tall, which tank overflows first? When? h h System I System II Figure E5.9
Q11/ Two liquid storage systems are shown in Fig. E5.9. Each tank is 4 feet in diameter. For System I, the valve acts as a linear resistance with the flow-head relation q = 8.33 h, where q is in gal/min and h is in feet. For System II, variations in liquid level h do not affect exit flow rate q. Suppose that each system is initially at steady state with h = 6ft and q = 50 gal/min and that at time t = 0 the inlet flow rate suddenly changes from 50 to 70 gal/min. For each system, determine the following information: (a) The transfer function H'(s)/Q'(s) where the primes denote deviation variables. (b) The transient response h(t). (c) The new steady-state levels. (d) If each tank is 8 ft tall, which tank overflows first? When? h h System I System II Figure E5.9
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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Transcribed Image Text:Q11/ Two liquid storage systems are shown in Fig. E5.9. Each tank is 4
feet in diameter. For System I, the valve acts as a linear resistance with the
flow-head relation q = 8.33 h, where q is in gal/min and h is in feet. For
System II, variations in liquid level h do not affect exit flow rate q. Suppose
that each system is initially at steady state with h = 6ft and
q = 50 gal/min and that at time t = 0 the inlet flow rate suddenly changes
from 50 to 70 gal/min. For each system, determine the following
information:
(a) The transfer function H'(s)/Q'(s) where the primes denote
deviation variables.
(b) The transient response h(t).
(c) The new steady-state levels.
(d) If each tank is 8 ft tall, which tank overflows first? When?
h
h
System I
System II
Figure E5.9
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