1. Part II Process Dynamics

2.  Process model types 1.Mathematical model 2.Fundamental and empirical model 3.Steady-state and dynamic model 4.Lumped (ODE) and distributed (PDE) model

3. Chapter 3 Modelling principles

4.  Example 3.1 (1)Overall material balance (2)Component material balance (3)Energy balance

6.  Example 3.2 Isothermal CSTR

7.  Example 3.3 Two isothermal CSTR

8. ※ Linearization Which is used to approximate the nonlinear system with linear differential equations. (1)Enthalpy H (2)Equilibrium vapor mole fraction y

9. (3) Reaction rate

10. Linear approximation ＊ Linearization for one variable

12. Ex. 3.4 linearization of Arrhenius equation Sol.:

13. ＊ Linearization for more variables

14. Ex. 3.5 Linear approximation of density of an ideal gas Sol.:

15. ＊ Linearization for differential equations S1. The first-order differential eqn S2. The steady state values as initials

16. S3. Linearization

17. Ex. 3.6 A differential eqn. from a CSTR system Where Find the time constant and gains of transfer function of C A. S1. Linear approximation

18. where C A, F, C Ai, are derivative variables, and S2. Standard form

19. where

20. Ex. 3.7 Linearization of an isothermal CSTR To determine steady state values The derivation variable is introduced as

21. (S1) The standard form is arranged as (S2) Dynamic responses

22. Ex. 3.8 (Complex) nonisothermal CSTR

23. Homework#1 Simulation of CSTR system (limited to up 20 reports) (see, appendix C)