CHEE222: Process Dynamics & Numerical Methods

Process Dynamics & Numerical Methods



Kim McAuleyG11kcauleyk@queensu.ca613-533-6000 x77973



Course Description

 Time–varying operation of chemical and biochemical processes is introduced. Dynamic mathematical models are formulated using material and energy balances. Effects of operational and design parameters on steady-state and dynamic operations are investigated. Numerical techniques are introduced to solve systems of algebraic and differential equations. Numerical and symbolic computation tools are used to analyze dynamic and steady-state process behaviour. (22/0/0/20/0) 

Prerequisites: APSC 143 (Introduction to Computer Programming), CHEE 221 (Chemical Processes and Systems), MTHE 225 (MATH 225) (Ordinary Differential Equations) or permission of the department.

Objectives and Outcomes

This course introduces basics of mathematical modeling and numerical methods for systematic analysis of transient and steady states of chemical processes.

Specific course learning outcomes include:

CLO1 Develop dynamic and steady-state models of chemical processes using mass balance, energy balance and constitutive relationships.

KB-Engineering Science-Process

CLO2 Calculate states, inputs or parameters at steady states via solving relevant algebraic equations.

KB-Mathematics-Numerical Methods
KB-Engineering Science -Process

CLO3 Analyze process dynamics via solving relevant ordinary differential equations.

KB-Mathematics-Numerical Methods
KB-Engineering Science - Process

CLO4 Develop linearized models with deviation variables, and solve using Laplace transforms.

KB-Mathematics-Understanding of mathematical structures
KB-Engineering Science - Process

CLO5 Solve complex algebraic and ordinary differential equations using MATLAB built-in functions, and implement classical numerical methods on MATLAB. ET-Apply

Relevance to the Program

This course builds on elementary principles of chemical engineering learned in CHEE 221.  It relies on mathematical concepts and techniques from first-year calculus and algebra.  Methods for solving differential equations learned in MTHE 225 are applied and extended.  Mathematical modeling and mathematical skills developed in CHEE 222 prepare students for CHEE 311, CHEE 315, CHEE 319 and CHEE 321.

Course Structure and Activities

There are two proctored open-book tests in this course. These tests are designed to provide learners with feedback on their knowledge during the term. You will have 90 minutes to complete each test.  Test dates and times are listed in the table above.

There are two assignments in this course, which will be done in groups of 2 or 3 students.  In these assignments, you will develop model equations describing chemical processes and solve them using Excel and MATLAB.  More details about the assignments can be found in onQ.

The final exam is open-book. Students must write their exam on the day and time scheduled by the University. You should not schedule vacations, travel, etc. during the exam period. The Term and Session Dates will indicate the final exam period session dates in each term.


Recommended Textbooks:

  • Felder, R.M., Rousseau, R.W. and Bullard, L.G., Elementary Principles of Chemical Processes, 4th Edition, Wiley and Sons Inc., New York, NY (2016).
  • Edwards, C.H., Penney, D.E. and Calvis, D.T., Differential Equations and Boundary Value Problems – Computing and Modeling, 5th Edition, Pearson (2014, 2019).

Other Material:

All course material will be posted to OnQ