After this course, the student is able to …
- Translate a real life heat, mass or momentum transport problem into it’s mathematical formulation
- Solve the mathematical equation resulting from this translation
- Analyse the solutions found and their implications for the problem started with
- Communication with specialists involved in computational fluid dynamics, discuss the formulation of a problem and its numerical solution with this specialist.
This course uses the book Transport Phenomena written by Bird, Stewart and Lightfoot. The main author of this classical book is Byron Bird. He wrote the first edition of this book many years ago after his stay at Delft University, where he had been teaching transport phenomena. There are several ways to teach this material. Here the way of increasing mathematical complexity is chosen. It starts with stationary diffusion processes, then a source term is added, after which instationary diffusion is treated. Mathematically this means that is started with the ordinary differential equation, the Laplace equation. With instationary diffusion one deals with a partial differential equation in time and space. Next complexity is added by including convective transport. Since the transport of heat, mass and momentum show many similarities, throughout the course problems from all three transport mechanisms are solved.
During the tutorials the students work in groups of 3 to 4 on real life problems. The groups have to formulate these problems into an analytical model. They have to make appropriate assumptions, define the solution domain, formulate the describing differential equation(s) with appropriate boundary conditions, and derive the solution. For some of the problems a numerical solution of the full problem without any assumption is available. With this numerical solution the students then analyse the influence of the assumptions made by them in finding the analytical solution. In this way they get understanding of the underlying transport mechanisms. Each 4 groups will be assisted by a tutor, who helps them during the whole process.
Part of the course is an additional assignment for upgrading the course to a Post-Master level. The PDEng trainee must discuss the content of this additional assignment together with the lecturer of the course. Afterwards, the trainee needs a covering letter (see PDEng study guide) stating that he/she has rounded the course at post-master level. This form must be signed by both the lecturer of the course and the PDEng programme director, and a scan must be uploaded in ProDoc.