Chemical Engineering & Technology
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