| Recommended semester: 1st - 4th semester |
| Scope and form: Lectures, groupwork and homework. |
Evaluation: Written exam and approval of coursework
Evaluation of a major homework problem (30%) and written 4-hour exam (70%). |
| Examination: 13-scale |
| Previous course: 36260 |
| Prerequisites: Advanced Engineering Mathematics 1 (Package version) or Advanced Calculus 1+2 Linear Algebra. In addition an introductory technical course such as Products and Processes or Introduction to Chemical Engineering |
| No credit points with: 28261, 01030 |
| Aim: To provide knowledge to the students about a number of central mathematical concepts and methods and to enable them to formulate and solve mathematical models for chemical systems. |
| Contents: Formulation of steady-state and non-steady state material and energy balances. Flux relations, convection, diffusion and heat conduction. Chemical reaction. Heat and mass transfer coefficients. Transport across curved surfaces. Boundary conditions. Linear differential equation systems. Bessel functions. Linearization and stability. La Place transformation and transfer function. Functions of complex variables. Infinite series with constant and variable terms. Linear partial differential equations of 2nd order. Sturm-Liouville problems and orthogonal functions. Approximate eigenvalues from the Rayleigh coefficient. |
| Remarks: The course integrates parts of the core curriculum in mathematics with central topics and examples from chemical process engineering and chemical reaction engineering. |
Contact: Kurt Munk Andersen, building 303, (+45) 4525 3060, k.m.andersen@mat.dtu.dk
Michael Locht Michelsen, building 229, (+45) 4525 2865, mlm@kt.dtu.dk |
| Department: 028 Department of Chemical Engineering |
| Keywords: Mathematics, Modelling, Differential balances |
| Updated: 12-03-2001 |
