Course content

The subject is taught every year, autumn term.
It covers an array of subjects in fluid mechanics: Fundamental laws of conservation for Newtonian fluid flow. Potential theory, classical analysis for subsonic and supersonic flow. Sound waves, shock wave and shock structures, boundary layers and singular perturbations. Classification of 2nd order PDEs, characterisation, boundary value and initial value problems. Cauchy problems for Navier-Stokes' equation. Difference formulations, von Neumann stability analysis. Examples from hydraulics, gas dynamics and two phase flow.

Learning outcome

Knowledge: The candidate will acquire knowledge of an array of topics in flow mechanics. Advanced knowledge of potential theory, as well as a fundamental understanding of the mechanics of incompressible and compressible flow, sound and shock structures. Understanding of the fundamental conservation laws of fluid mechanics and how the theory of more specialised branches derives from these. Knowledge of several practical applications of the theory covered.

Skills: The candidate knows and is able to utilise solution strategies for a variety of problems in advanced fluid mechanics such as potential solutions, characterisation of 2nd order PDEs, Fourier methods and strategies of linearisation.

General competence: The candidate has achieved a broad understanding of fluid mechanics applicable to practical problems in technological and physical research and development.

Learning methods and activities

Lectures and optional written exercises. The course is being taugth only if 5 or more students are enrolled. In case of re-sit examination, the examination form may be changed from written to oral. To pass the course a score of at least 70 percent is required.

Required previous knowledge

A typical subject in fluid mechanics beyond basic level; for example TEP4156 Viscous flows and boundary layers.

Course materials

P A Thompson: Compressible Fluid Dynamics, McGraw-Hill.
R Chevray & J Mathieu: Topics in Fluid Mechanics, Cambridge Univ. Press. Journal articles.

Credit reductions