A conical tank used for storage in a production process has the dimensions H=8 m and R=4 m. At steady state, the inlet flow rate is 3 m3/hr and the liquid height h = 6 m. Asut Perform the following steps: a. Develop a model for this process using h as the state variable. b. Obtain a linearized model in terms of deviation variables. c. Use Laplace transforms to obtain a transfer function model. d. Calculate the gain and time constant of the transfer function model developed. e. If qi is reduced suddenly to 2 m3/hr, solve for h(t). f. What is the new steady state value of h according to the solution in (e)? g. Obtain a corrected transfer function model at the new steady state. What are the new values of gain and time constant? (Assume that the new steady state values calculated above can be used for this purpose)
A conical tank used for storage in a production process has the dimensions H=8 m and R=4 m. At steady state, the inlet flow rate is 3 m3/hr and the liquid height h = 6 m. Asut Perform the following steps: a. Develop a model for this process using h as the state variable. b. Obtain a linearized model in terms of deviation variables. c. Use Laplace transforms to obtain a transfer function model. d. Calculate the gain and time constant of the transfer function model developed. e. If qi is reduced suddenly to 2 m3/hr, solve for h(t). f. What is the new steady state value of h according to the solution in (e)? g. Obtain a corrected transfer function model at the new steady state. What are the new values of gain and time constant? (Assume that the new steady state values calculated above can be used for this purpose)
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:A conical tank used for storage in a production process has the
dimensions H=8 m and R=4 m. At steady state, the inlet flow rate is 3 m3/hr
and the liquid height h = 6 m.
Asut
Perform the following steps:
a. Develop a model for this process using h as the state variable.
b. Obtain a linearized model in terms of deviation variables.
c. Use Laplace transforms to obtain a transfer function model.
d. Calculate the gain and time constant of the transfer function model
developed.
e. If qi is reduced suddenly to 2 m3/hr, solve for h(t).
f. What is the new steady state value of h according to the solution in (e)?
g. Obtain a corrected transfer function model at the new steady state. What
are the new values of gain and time constant? (Assume that the new
steady state values calculated above can be used for this purpose)
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