Learning Outcomes:
On completion of this module students should be able:
1. To develop dynamic mathematical models for the simulation and design of chemical and bioprocess unit operations using systems of Differential and Algebraic Equations.
2. To identify the Index and perform Index reduction on DAE systems for consistent initialisation.
3. To implement and solve mathematical models for process systems in gPROMS[TM].
4. To define, implement and solve dynamic optimisation problems in gPROMS[TM].
5. To perform dynamic parameter estimation in gPROMS[TM].
Indicative Module Content:
I. Numerical methods for solving non-linear systems of equations and differential equations.
(a) Bisection method
(b) Successive substitutions
(c) Newton-Raphson
(d) Newton's method for systems of non-linear equations
(e) Euler, Heun's and R-K methods for solving ODEs and PDEs
II. Dynamic process modelling
(a) A systematic approach to model development
(b) Modelling chemical reacting systems
(c) Energy considerations in reacting and non-reacting systems
(d) Systems of differential and algebraic equations (DAEs)
(e) Index and Index reduction strategies
(f) Modelling systems with phase equilibrium
(g) Dynamic optimisation
(h) Dynamic parameter estimation