| Name: |
Modeling Methods in Chemical Engineering |
| Catalog Number: |
422001Y |
Hours/Credits: |
40/2 |
| Prerequisite(s): |
|
Principle of Transport Process; Advanced Engineering Mathematics. |
| Course Description: |
|
The course is a basic course for graduate students majored in chemical engineering and technology. This course introduces mathematical models and the modeling methods which commonly used in chemical engineering. Combined with typical chemical engineering problems, this course describes the concepts, principles and methods used in physical models, mathematical models, numerical solution, and provides detailed examples to make students clearly grasp the basic concepts and mathematical tools, and flexibly use model approach to solve specific problems in the field of chemical engineering. |
| Course Content: |
|
Chapter 1 Basis of Mathematical modeling
Types of mathematical modeling; Principles and methods of mathematical modeling; Selection of model type
Chapter 2 Chemical and Chemistry Basis of Mathematical Modeling
Dimensional homogeneity; Material balance; Momentum conservation; Heat balance; Phase equilibrium; Metrology and kinetics of chemical reaction
Chapter 3 Elementary empirical model
Dimensional analysis; Linear and non-linear regression; Neural network model
Chapter 4 Discrete (Lumped parameter) model
Single-stage model; Equilibrium stage model; Multi-grade level equilibrium model; Stage efficiency; Non-equilibrium Stage model
Chapter 5 Differential equation (Distribution parameter) model
Model building; Definite solution condition; Analytical solution; Numerical solution
Chapter 6 Stochastic Mathematical Model
Sequence of random variables; Markov process; Stochastic dynamic process; Time series model
Chapter 7 Method of Mathematical Model
Extreme value criterion of multi-state system; Correction mechanism of simple model; Qualitative index for quantifying |
| TextBooks: |
|
Zaisha Mao. Mathematical Modeling in Chemical Engineering. Higher Education Press, Beijing, 2008. (In Chinese) |
| Reference: |
|
1 Shangxu Hu, Hai Chen. Chemical Process Modeling, Simulation and Optimization. Zhejiang University Press, Hangzhou, 1997.
2 Seinfeld, John H, and Lapidus, Leon (Weipeng Zhao translation). Mathematical Mothods in Chemical Engineering. Jiangsu Science and Technology Press, Nanjing, 1981 |
