Process Control: Hands-On for Dynamic Mathematical Modelling

Name: Process Control: Hands-On for Dynamic Mathematical Modelling
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Hands-On Dynamic Mathematical Modelling of Mass, Component and Energy for Chemical Processes

Created byJMH Integrated Training

Last updated 4/2021

English

What you'll learn

General mathematical modelling principles
Step-by-step procedure in developing total mass balance for chemical processes
Step-by-step procedure in developing total component balance for chemical processes
Step-by-step procedure in developing total energy balance for chemical processes

Course content

5 sections • 58 lectures • 8h 52m total length

Introduction to Course2:47
Welcome to the Course5:57
Develop dynamic mathematical modeling for chemical processes and process control by integrating math and chemical engineering, with hands-on exercises and balance derivations.
Learning Outcomes
At the end of the course, you will be able to:
Derive total mass balance for chemical processes
Derive total component balance for chemical processes
Derive total energy balance for chemical processes

Learning Outcomes
At the end of this section, you will be able to:
Derive total mass balance for mixing processes
Derive total mass balance for tanks in series
Derive total mass balance for non interacting tanks
Derive total mass balance for interacting tanks
Conservation of Mass6:18
Learn the conservation of mass and total mass balance for a tank, deriving the transient balance with density equality, and express it in terms of volume and height.
----- MIXING PROCESSES -----0:02
In this mixing processes section, there is TWO exercises for Mass Balance:
3.1: Mixing Tank
3.2: Mixing Tank with Constant Volume
Exercise 3.1: Mixing Tank5:41
Exercise 3.2: Mixing Tank Constant Volume4:52
----- TANKS IN SERIES -----0:05
Exercise 3.3: Tanks in Series7:36
Exercise 3.4: Tanks in Series7:00
Derive the total mass balance for two tanks in series with constant volumes. Apply accumulation equals in minus out using flows F1 and F2, with density simplifications.
Exercise 3.5: Tanks in Series8:24
Exercise 3.6: Tanks in Series7:08
Tanks in Series 1
----- NON INTERACTING TANKS -----0:02
Exercise 3.7: Tanks in Series12:58
Exercise 3.8: Mixing Tanks in Series15:34
Explore process control and dynamic mathematical modelling by deriving total mass balances for non-interacting mixing tanks in series, converting volumes to levels, and modeling flows with gravity and valve constraints.
Tanks in Series 1
Tanks in Series 2
Mixing Tanks in Series 1
Mixing Tanks in Series 2
----- INTERACTING TANKS -----0:02
Exercise 3.9: Tanks in Series11:49
Exercise 3.10: Mixing Tanks in Series10:23
Demonstrate the interactive mixing tank in series by deriving mass balance equations for two tanks, with inputs F1 and F2 and output F3, under equal densities.
Tanks in Series 1
Tanks in Series 2
Mixing Tanks in Series 1
Mixing Tanks in Series 2

Learning Outcomes
At the end of this section, you will be able to:
Derive total component balance for mixing processes
Derive total component balance for mixing tanks in series
Derive total component balance for simple reaction processes
Derive total component balance for reversible reaction processes
Conservation of Component12:45
----- MIXING PROCESSES -----0:01
Exercise 4.1: Mixing Tank (Two Components)9:36
Derive a transient mass-balance model for a two-component mixing tank using two feed streams, component balances for A and B, and no reaction.
Exercise 4.2: Mixing Tank (Three Components)9:34
Exercise 4.3: Complex Mixing Tank10:48
Mixing Tank Component Balance 1
Mixing Tank Component Balance 2
Mixing Tank Component Balance 3
----- MIXING TANKS IN SERIES -----0:04
Exercise 4.4: Mixing Tanks in Series 118:25
Derive total and component balances for two tanks in series by defining boundaries, listing assumptions, and solving for A, B, and C balances from fresh feeds and a three-component outlet.
Exercise 4.5: Mixing Tanks in Series 219:54
Exercise 4.6: Mixing Tanks in Series 323:28
Mixing Tanks in Series Component Balance 1
Mixing Tanks in Series Component Balance 2
Mixing Tanks in Series Component Balance 3
----- SIMPLE REACTION PROCESSES -----0:04
Exercise 4.7: Simple Reaction System 110:13
Derive the component balances for a simple a to b reaction in a nonconstant volume continuous stirred tank reactor, detailing input, output, accumulation, and production and consumption.
Exercise 4.8: Simple Reaction System 213:34
Apply dynamic mass balances to a two-step consecutive reaction system A to B to C, deriving A, B, and C balances and the total mass balance.
Exercise 4.9: Simple Reaction System 312:33
Exercise 4.10: Simple Reaction System 415:29
Simple Reaction System Component Balance 1
Simple Reaction System Component Balance 2
Simple Reaction System Component Balance 3
----- REVERSIBLE REACTION PROCESSES -----0:03
Exercise 4.11: Reversible Reaction System 116:36
Exercise 4.12: Reversible Reaction System 216:33
Exercise 4.13: Reversible Reaction System 314:11
Derive and simplify the component balances for a three-component, reversible A–B–C system in a nonconstant-volume reactor using total mass balance, reaction stoichiometry, and kinetic expressions.
Reversible Reaction System Component Balance 1
Reversible Reaction System Component Balance 2
Reversible Reaction System Component Balance 3

Learning Outcomes
At the end of this course, you will be able to:
Derive total energy balance for heated tank
Derive total energy balance for heated mixing tank
Derive total energy balance for heated mixing tanks in series
Derive total energy balance for isothermal CSTR
Conservation of Energy16:58
----- HEATED TANK -----0:02
Exercise 5.1: Heated Tank9:12
Exercise 5.2: Constant Volume Heated Tank8:29
----- HEATED MIXING TANK -----0:02
Exercise 5.3: Mixing Tank9:15
Exercise 5.4: Heated Mixing Tank9:45
Mixing Tank Energy Balance
Heated Mixing Tank Energy Balance
----- HEATED MIXING TANKS IN SERIES -----0:06
Exercise 5.5: Mixing Tanks in Series14:42
Exercise 5.6: Heated Mixing Tanks in Series 114:44
Explore the total energy balance for heated mixing tanks in series, deriving the balances for two tanks and accounting for energy inputs from streams, energy added, and boundary assumptions.
Exercise 5.7: Heated Mixing Tanks in Series 213:02
Exercise 5.8: Heated Mixing Tanks in Series 314:02
Derive total energy balances for two heated mixing tanks in series, using streams as energy in and out and added heat. Assume well-mixed and constant density.
Mixing Tanks in Series Energy Balance
Heated Mixing Tanks in Series Energy Balance 1
Heated Mixing Tanks in Series Energy Balance 2
Heated Mixing Tanks in Series Energy Balance 3
----- ISOTHERMAL CSTR -----0:02
Exercise 5.9: Isothermal CSTR16:03
Exercise 5.10: Isothermal MISO CSTR21:43
Exercise 5.11: Isothermal CSTRs in Series49:25
This lecture guides you to derive dynamic models for isothermal CSTRs in series with two tanks, using total mass, component, and energy balances for a multi input, single output process.
Isothermal CSTR Energy Balance
Isothermal MISO CSTR Energy Balance
Isothermal CSTRs in Series Energy Balance

Requirements

Basic chemical engineering knowledge
Engineering Mathematics

Description

Process Control: Hands-On for Dynamic Mathematical Modelling

This course is the first part of the Process Control Hands-On Series which consists of six parts:

Hands-On for Dynamic Mathematical Modelling
Hands-On for Advanced Dynamic Mathematical Modelling
Hands-On for Transfer Function
Hands-On for Dynamic Behavior
Hands-On for Feedback Control System
Hands-On for Feedback Controller Tuning

Course Outcomes: At the end of this course, you will be able to:

Derive total mass balance for chemical processes
Derive total component balance for chemical processes
Derive total energy balance for chemical processes

Course Content:

General mathematical modelling principles
Step-by-step procedure in developing total mass balance for chemical processes (10 exercises).
Step-by-step procedure in developing total component balance for chemical processes (13 exercises).
Step-by-step procedure in developing total energy balance for chemical processes (11 exercises).

Who this course is for?

Chemical engineering undergraduate students who want to extend knowledge in process dynamic
Process engineers who want to develop dynamic models for process plant
Process control engineers who want to design control strategy for a new process
Process engineers who want to optimize process operating conditions

Teaching Method:

This course will be conducted hands-on based on several exercises with the step-by-step procedure in developing total mass balance, total component balance and total energy balance for selected chemical processes. The way the exercise is selected which is based on the increment of the degree of difficulty. Every section will start with the easiest exercise and the degree of difficulty increases from one exercise to another until at the end of the section you will derive mathematical models for the so called the hardest exercise. At the end of the every sub-section, there will be some assignments to assess your capability in deriving mathematical models.

Who this course is for:

Chemical engineering undergraduate students who want to extend knowledge in process dynamic
Process engineers who want to develop dynamic models for process plant
Process control engineers who want to design control strategy for a new process
Process engineers who want to optimize process operating conditions

Process Control: Hands-On for Dynamic Mathematical Modelling

What you'll learn

Explore related topics

Course content

ABOUT THE COURSE3 lectures • 9min

General Mathematical Modelling Principles3 lectures • 25min

Mass Balance Modelling16 lectures • 1hr 38min

Component Balance Modelling19 lectures • 3hr 24min

Energy Balance Modelling17 lectures • 3hr 18min

Requirements

Description

Who this course is for: