Modeling and Mathematical Methods for Process and Chemical Engineers
In this course we study non-numerical solutions of systems of ordinary differential equations and first order partial differential equations, with application to chemical kinetics, simple batch distillation, and chromatography.
Topics covered
- Introduction to systems of first order linear differential equations (ODEs)
- Linearization of nonlinear ODEs
- Residue Curve Maps
- Introduction to first order partial differential equations (PDEs)
- Method of characteristics
- Application to pure component and binary chromatography
Textbooks and further reading
- A. Varma, M. Morbidelli, Mathematical methods in chemical engineering, Oxford University Press, New York-Oxford, 1997
- H. K. Rhee, R. Aris, N. R. Amundson, First-order partial differential equations, Volume 1, Dover Publications, Mineola, New York, 1986
- J. D. Meiss, Differential dynamical systems, SIAM, Philadelphia, 2007
- D. W. Jordan, P. Smith, Nonlinear ordinary differential equations (4th edition), Oxford University Press, New York-Oxford, 2007
Links
external page Wolfram Mathworld
Download the lecture notes and the exercises
The lecture material of the whole course, which was used to record the videos, can be downloaded protected page here (Protected material, ETH login required).
The videos for the lectures of a previous year can be found here.
A lecture script regarding phase equilibria can be found Download here (PDF, 963 KB).
Office hours
Please contact the teaching assistants by mail.