CHEE222: Process Dynamics & Numerical Methods

Process Dynamics & Numerical Methods



Kim McAuleyG11kcauleyk@queensu.ca613-533-6000 x77973


Seyed Mohammad Moein Mousavi

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)

Objectives and Outcomes

This course introduces basics of mathematical modeling and numerical methods for systematic analysis of transient and steady states of chemical processes. On completing this course the students should be able to:

  1. develop dynamic and steady-state models of chemical processes using mass balance, energy balance and constitutive relationships.
  2. calculate states, inputs or parameters at steady states via solving relevant algebraic equations.
  3. analyze process dynamics via solving relevant ordinary differential equations.
  4. develop linearized models with deviation variables, and assess the stability of process steady states via both eigenvalue analysis and Laplace transforms of the linearized models.
  5. solve complex algebraic and ordinary differential equations using MATLAB built-in functions, and implement classical numerical methods on MATLAB.

This course assesses these two attributes:

  1. knowledge base for engineering (CLO 1-4): Formulates and solves steady-state and dynamic mass balances for a chemical process CHEE-KB-PROC-1; Formulates and solves steady-state and dynamic energy balances for a chemical process CHEE-KBPROC-2; Formulates and solves ordinary and partial differential equations and integral equations arising in Chemical Engineering using analytical and numerical techniques, KB-MATH-2.
  2. engineering Tools (CLO 5): Selects and applies appropriate software, models, and simulations TOO-4.


CHEE 221, APSC 142, MTHE 225 (or MATH 225) or permission of department.

Relevance to the Program

Course Structure and Activities

3 lecture hours + 1 tutorial hour per week.  Please refer to SOLUS for times and locations.


Textbook: Bequette, B.W. Process Dynamics: Modeling, Analysis and Simulation, Prentice Hall, Upper Saddle River, NJ (1998).

Reference book for mass and energy balances (optional): Felder, R.M. and Rousseau, R.W. Elementary Principles of Chemical Processes, 3rd Edition, Wily and Sons Inc., New York, NY (2000)., Bird, R.B., W.E. Stewart and E.N. Lightfoot, Transport Phenomena, Revised 2nd ed., Wiley & Sons, New York (2007).

All course lecture slides, assignments and tutorials will be posted on OnQ.