ENGS9Aa.F Transition to turbulence in thermoconvection and aerodynamics | Credits: 2 ECTS Duration: 21 hours | Semester: S9 | ||
Person in charge: Emmanuel Plaut, professor | ||||
Keywords: nonlinear phenomena, stability, instability, bifurcation theory | ||||
Prerequisites: fluid dynamics elementary course, numerical methods | ||||
Objectives: learn relevant nonlinear phenomena in hydrodynamics with heat transfers (thermoconvection) and aerodynamics; learn some methods to model these phenomena. | ||||
Program and contents: The transition to spatio-temporal complexity and turbulence in fluid dynamics, which is intrinsically nonlinear, is studied by focusing on two families of systems. This is also an occasion to enrich the knowledge and know-how of the students in general fluid mechanics. The families of systems studied are:
Please check the web page of this module on http://emmanuelplaut.perso.univ-lorraine.fr/t2t : it sketches the planning of this module, gives the lecture notes and instructions, etc... In particular, you will use Mathematica to perform formal (symbolic) and numerical computations on your laptop. | ||||
Abilities : | ||||
Levels | Description and operational vocabulary | |||
Know | Chaos. The physics of the transition to turbulence in channel flows, boundary layer flows and airfoils | |||
Understand | Linear vs nonlinear terms - linear vs nonlinear effects. Supercritical vs subcritical bifurcations. The physics of thermoconvection and thermal buoyancy | |||
Apply | Linear and weakly nonlinear stability analyses. Numerical spectral method | |||
Analyze | Linear and weakly nonlinear stability analyses. Numerical spectral method | |||
Summarize | ||||
Assess | ||||
Evaluation: | ||||
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