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)
Performance assessment
Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block for
Bachelor's Degree Programme in Chemical Engineering 2006; Version 27.03.2018 (Examination Block Process Engineering) Bachelor's Degree Programme in Chemical Engineering 2018; Version 26.09.2022 (Examination Block V)
The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination
oral 30 minutes
Additional information on mode of examination
Questions will be formulated in English, but students are free to choose the language (English or German) for the answers. Die Fragen werden auf englisch gestellt. Die Antworten dürfen auch auf deutsch erfolgen.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block. This information can be updated until the beginning of the semester; information on the examination timetable is binding.
Learning materials
No public learning materials available.
Only public learning materials are listed.
Groups
No information on groups available.
Restrictions
There are no additional restrictions for the registration.
Performance assessment as a semester course