Mass Balance on a Draining Tank:
Drain Flow Sq. root of Hydrostatic Head
Linearization Taylor Series:
First Order ODE:
Second Order ODE:
Second Order Underdamped Form:
Case 1: > 1 (overdamped): [Stable] real negative distinct roots, -p1, -p2
ChE 3015 Study Guide for Test # 1 - revised 2/15/07 Test #1 will be held on Thursday, 2/22/2007 from 7:00-8:30 PM in 120 Randolph Hall. A test review session will be held on Wednesday, 2/21/07 at the regularly scheduled class time. Attendance is volu
Workshop 2 ANSWER KEY P-Only Control of Tank Level
Objective: To design and test a P-Only controller for tracking changes in set point and rejecting disturbances. Also, to explore how controller gain impacts P-Only performance. 1) Click "Gravity Drai
Control Loop Block Diagram:
Following the diagram of Fig. 1.4, a sensor measures the measured process variable and transmits, or feeds back, the signal to the controller. This measurement feedback signal is subtracted from the set point to obtain th
14. Laplace Transforms
14.1 Laplace Transform Basics
Transforming functions from the time domain into the Laplace domain provides a convenient means
for manipulating and solving linear ODEs with constant coefficients. In particular, Laplace
transforms ena
Demo
onstration of effect of deadtime on closed loop control d
d
p
demonstrate with gravi
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ity
dra
ained tanks.
Start Gra
avity Drained tanks in op loop (OL mode at T
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Tank 2 heigh = 4 m and CO = 70%. This
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ChE 2114
Second Test
1.
October 8, 2014
(15 points) Consider a process for the production of jam using fresh fruit and
artificial sweetener.
The fresh fruit used in the process is 20.0 mass % solids and 80.0 % water. This
fresh fruit is well mixed with so
ChE 3015 2014 Tentative Grade Ranges revised 5/12/14
Note: The cumulative class scores in the table below are based on the current grades in ChE 3015 (test #s 1-3 +
homework/attendance). The 3 tests are equally weighted and count for a total of 92% of the
Problem 17.2 in PPC: Showing all steps, use the direct synthesis method to derive the
controller tuning correlation for the case where the open loop process is described by a
first-order system without dead time equation (FO).
Showing all steps, use the d
How to Approximate a High Order Open Loop System with an FOPDT System Useful for Controller Tuning
Given a closed loop system described by Figure 16.3
and where the CLTF for a set point change is given
by:
Note: In Figure 16.3 above, we have assumed that
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Examples:
1. Distillation column - one plate =
one FO system
2. Tubular Flow reactor - one
cylindrical reactor broken up into
"n" # of CSTRs in series
y(t) = KpU(t-ThetaP)[1 - exp(t-ThetaP/TauP)]
PPC, Chapter 13, pp.126-130
What is value of the damping ra
Examples:
1. Distillation column - one plate =
one FO system
2. Tubular Flow reactor - one
cylindrical reactor broken up into
"n" # of CSTRs in series
y(t) = KpU(t-ThetaP)[1 - exp(t-ThetaP/TauP)]
PPC, Chapter 13, pp.126-130
Example - an insulated CSTR wit
Linearization of Nonisothermal Reactor - This problem begins with the nonlinear model developed in
Section 11.6 of "Practical Process Control" (PPC) and applies the linearization techniques described
in Chapter 12 of PPC so that the final result is a line
Derivation of Unsteady-State Mass & Energy Open Loop Balances
Step-by-Step Modeling Procedure (Chapters 11 & 12 in Practical Process Control)
1.Write USS mass or energy balance equations that describe the dynamic model of a
system.
Identify constant param
-_' Discuss This Articiel n
15 mg
with ind m. Wynn!
Pmmnyhculnn Room mam
*M' '_
Cut the Cost and Raise
the Reliability of Your
Instrumentation
Review your maintenance, engineering,
purchasing, and construction practices.
Often, big improvements are p
What is a Centrifugal Pump?
Reading: pp.118-130 in Fundamentals of Instrumentation & Process Control
The centrifugal pump is so named because it
relies on centrifugal forces to create the kinetic
energy in the fluid to impart flow.
A centrifugal pump has
ChE 3015 Study Guide for Test # 1 - revised 2/18/14
Test Conditions: Students should bring:
1 page of their own notes (notes on the front and back are allowed)
a calculator (essential!)
a ruler in case a graph needs to be read
at least one #2 pencil and
ChE 3015 Study Guide for Test # 3 to be held 5/5/14 (revised 4/28/14)
Test format
Students should bring: 1 page of notes (notes on the front and back are allowed)
a calculator
a ruler in case a graph needs to be read
Any special formulae will be provided.
Information for Test 3
Test 3 will be on Friday, April 3, from 7:30-8:50 a.m. in our regular classroom in Surge (Surge
103A).
The test covers Chapters 5 and 6 and will consist of five problems, each worth 15, 20, or 25
points. About 25% of the points will
Compositions on the 1005 Listening Quiz
1. Aida: Triumphal March and Chorus
2. Air from Suite No. 3 in D major
3. A Vesta Was
4. Ave Generosa
5. Ave Maria
6. Brandenburg Concerto No. 5
7. Carmina Burana: O Fortuna
8. Cantigas de Santa Maria
9. Concerto fo
ChE 3184
Chemical Reactor Analysis and Design
Spring 2017
(syllabus available on Canvas)
Instructors:
Dr. Ayman M. Karim
239 Goodwin Hall, 231-9138 (office)
[email protected]
Office Hours: 3:00-4:30 M/W
(Additional times can be arranged by request)
Lectures:
Chem 2545
Fall 2015
Pre Lab 2 Homework (35 pts total)
1. Read through the experimental for lab 2 in your manual and write out the
procedure into your lab notebook, leaving room for observations etc. You
will submit this to your TA when you turn in your no
Math 4564
Homework Assignment #8a Fall 2016
W. Kohler
Due: Thursday, November 3, at the beginning of class.
Use Mathematica as you wish for computations and for plotting . Provide complete documentation by
Homework Problems Chapter 6
1.
Use the Clausius-Clapeyron Equation to estimate the vapor pressure of toluene at
50.0 oC. (The normal boiling point and heat of vaporization are in the Appendix
of the Text.)
2.
At a given temperature, the vapor pressure of
ChE 3015 Homework #8 - Due on Class #23, Friday, 3/17/17
Sensors and Transmitters (25 points)
1. (4 points) Several linear sensor/transmitters have been installed and calibrated as follows:
(a) Sensed variable = Flow rate: 400 gal/min
0 gal/min
15 psig
ChE 3015 - Process Measurement and Control, CRN #s 12003 & 12004, Spring 2017 (revised 1/15/17)
COURSE DESCRIPTION: Principles underlying common process measurements; applications to theory and practice of
automatic control of chemical processes. (3H, 3C)
Homework # 7 Due on Class #21, Monday 3/13/2017 (Source document for Canvas posting under
Tests & Quizzes.) (33 POINTS TOTAL) SOLUTION ANSWERS HIGHLIGHTED IN BOLD
These problems concern instrumentation and hardware important for feedback control systems c