151-0940-00L Modelling and Mathematical Methods in Process and Chemical Engineering
Semester | Spring Semester 2021 |
Lecturers | M. Mazzotti |
Periodicity | yearly recurring course |
Language of instruction | English |
Abstract | Study of the non-numerical solution of systems of ordinary differential equations and first order partial differential equations, with application to chemical kinetics, simple batch distillation, and chromatography. |
Learning objective | Study of the non-numerical solution of systems of ordinary differential equations and first order partial differential equations, with application to chemical kinetics, simple batch distillation, and chromatography. |
Content | Development of mathematical models in process and chemical engineering, particularly for chemical kinetics, batch distillation, and chromatography. Study of systems of ordinary differential equations (ODEs), their stability, and their qualitative analysis. Study of single first order partial differential equation (PDE) in space and time, using the method of characteristics. Application of the theory of ODEs to population dynamics, chemical kinetics (Belousov-Zhabotinsky reaction), and simple batch distillation (residue curve maps). Application of the method of characteristic to chromatography. |
Lecture notes | no skript |
Literature | A. Varma, M. Morbidelli, "Mathematical methods in chemical engineering," Oxford University Press (1997) H.K. Rhee, R. Aris, N.R. Amundson, "First-order partial differential equations. Vol. 1," Dover Publications, New York (1986) R. Aris, "Mathematical modeling: A chemical engineer’s perspective," Academic Press, San Diego (1999) |