The dynamic behavior of the liquid level in each leg of a manometer tube, responding to a change in pressure is given by: d²h' 6μ dh' dt² R²p dt 3g 3 + h' 2L = 4pLP'(t) where h' is the level of the fluid measured with respect to the initial steady-state value, p' (t) is the time-varying pressure acting on the manometer and R, L,g,p, and μ are constants. a. Rearrange this equation into standard gain-time constant form and find expressions for K,, t, and . b. For what values of the physical constants does the manometer response oscillate? c. Would increasing the density of the manometer fluid make its response more or less oscillatory?
The dynamic behavior of the liquid level in each leg of a manometer tube, responding to a change in pressure is given by: d²h' 6μ dh' dt² R²p dt 3g 3 + h' 2L = 4pLP'(t) where h' is the level of the fluid measured with respect to the initial steady-state value, p' (t) is the time-varying pressure acting on the manometer and R, L,g,p, and μ are constants. a. Rearrange this equation into standard gain-time constant form and find expressions for K,, t, and . b. For what values of the physical constants does the manometer response oscillate? c. Would increasing the density of the manometer fluid make its response more or less oscillatory?
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:The dynamic behavior of the liquid level in each leg of a manometer tube, responding to a change in
pressure is given by:
d²h' 6μ dh'
dt² R²p dt
3g
3
+
h'
2L
=
4pLP'(t)
where h' is the level of the fluid measured with respect to the initial steady-state value, p' (t) is
the time-varying pressure acting on the manometer and R, L,g,p, and μ are constants.
a. Rearrange this equation into standard gain-time constant form and find expressions for K,,
t, and .
b. For what values of the physical constants does the manometer response oscillate?
c. Would increasing the density of the manometer fluid make its response more or less
oscillatory?
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