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36261 Mathematical Modeling for Chemical Engineers
Danish title: Matematiske modeller for kemiske systemer
Language: Danish Credit points: 5
Type: Open University
Language: Danish

Previous course: C3661
No credit points with: 36260.C3661.C8814.C8812.C0122
Prerequisite: 01030.36100 (senest samtidig)
Recommended semester: 6th semester
Scope and form: Lectures, problem solving sessions (may include small computer problems), some homework problems.
Examination: Written exam (13-scale)
Contact person: Stig Wedel, Building 227, Tel. +45 4525 2948, email sw@kt.dtu.dk

Department: Department of Chemical Engineering
Aim: To enable the participants to formulate and analyze mathematical models for chemical engineering systems, and to solve the models by exact mehods or by analytical approximative methods.
Contents: Formulation of differential equation models for stationary and non-stationary processes involving species diffusion, heat conduction and chemical reaction. Formulation of boundary conditions. Systems of 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. La Place transformation, 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.