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. Complex potential theory, classical analysis for ideal flow around bodies, the Kutta-Joukowski transformation and the potential theory of airfoils, conformal mapping. Fundamentals of stability analysis, classical analysis of important instabilities in fluid flow. Linear theory of surface waves, dispersion, group and phase velocities, wave motion on droplet surfaces and in oscillating systems, initial value problems, and ship waves.

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 flow. 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, 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

Weekly lectures and written exercises with extensive use of MATLAB. If the number of students is low, the course may be given as self-study.

Required previous knowledge

Mathematical background corresponding to Calculus 1-4.
Recommended: A typical subject in fluid mechanics beyond basic level; for example TEP4156 Viscous flows and boundary layers.

Course materials

Exerpts from Graebel: "Advanced fluid mechanics" Academic Press 2006.
Compendia handed out during the course.

Credit reductions