| 28860 Mathematical Modeling for Chemical Engineers |
| Course may be taken for credit by B.Sc. and M.Sc. students. |
| Danish title: Matematiske modeller for kemiske systemer |
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Language: Danish ECTS-creditpoints: 5, External examination.
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| Type: , open university, food engineering |
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Exam schedule:
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F1-B (maj 28 2002), E1-B (dec 11 2001) |
| Recommended semester: 4th -7th semester (civil), 6th semester (diplom) |
| Scope and form: Lectures, problem solving sessions (may include small computer problems), some homework problems. |
Evaluation: Written exam
4 hours written examination, open book. |
| Examination: 13-scale |
| Previous course: 36261 |
| Prerequisites: 01030 / 01902 / 01912. Mathematics at the level of mandatory engineering courses in algebra, calculus and analysis. |
| Preferred prerequisites: 27711 / 28021 / 28120. A basic acquaintance with chemical engineering |
| No credit points with: 28260,36260,36261 |
| Aim: Enabling the participants to formulate and analyze mathematical models for chemical engineering systems, and to solve the models by exact methods or by analytical approximative methods. |
Contents: M.Sc.: Laplace transformation
B.Sc.: Some topics from basic M.Sc. mathematics courses.
All: Formulation of differential equation models for stationary and non-stationary processes involving species diffusion, heat conduction and chemical reaction. Formulation of boundary conditions. Systems with spherical or cylindrical geometry, other non-planar problems. Solutions expressed as special functions: Gamma function, Bessel functions and error function. Simple numerical integration applied to non-linear equations. Perturbation methods. Linearization, introduction to stability. Partial differential equation models. Solution by separation of variables (Sturm-Liouville transformation). Examples of other analytical solution methods suited for special problems. |
| Contact: Stig Wedel, building 227, (+45) 4525 2948, sw@kt.dtu.dk |
| Department: 028 Department of Chemical Engineering |
| Keywords: Model formulation, Differential equation models, chemical engineering, Mathematical methods |
| Updated: 20-04-2001 |
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