| Time/place: |
Lecture
(eKVV):
Tue 08:30-10:00 (D6-135), Wed 08:30-10:00 (D6-135)
Tutorials
(eKVV):
Wed 14:00-16:00 (D6-135)
Instructor: Nicolas Borghini (borghini at physik dot uni-bielefeld dot de)
E6-123
Tutor: Renata Krupczak
Oral exam, registration at the end of the semester
|
| Homepage: |
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Hydrodynamics
|
| News: |
First lecture: Tuesday, April 14
|
| Prerequisites: |
Classical mechanics, Special Relativity, Thermodynamics
|
| Literature: |
* Faber: Fluid dynamics for physicists
* Fließbach: Lehrbuch zur theoretischen Physik:
Band I: Mechanik
* Guyon, Hulin, Petit, Mitescu: Physical hydrodynamics
* Landau & Lifshitz: Course of theoretical physics:
Vol. 6: Hydrodynamics
* Rezzolla & Zanotti: Relativistic hydrodynamics
(online access, list of corrections)
* Rieutord: Fluid dynamics
|
| Planned content: |
April 14 Organization. Intro
- Basic concepts of continuum mechanics: continuum hypothesis; local thermodynamic equilibrium; mechanical stress
- Kinematics of deformable bodies: Lagrangian and Eulerian descriptions; decomposition of motion
- Conservation laws in non-relativistic fluids: Reynolds transport theorem; conservation of mass, linear momentum, energy
- Inviscid non-relativistic flows: hydrostatics; simple stationary flows; vortex dynamics; potential flows; waves
- Dissipative non-relativistic flows: simple stationary flows; dimensional analysis; flows at low Reynolds number; convective flows; turbulent flows
- Dynamics of relativistic fluids: conservation laws; simple solutions
- (time permitting) Hydrodynamic fluctuations / Numerical hydrodynamics / Stability
|
| Links: |
* Illustrative videos by the (US) National Committee for Fluid Mechanics Films;
you can also check the accompanying film notes
* Further fluid mechanics movies are available here
* Online version of the NIST Handbook of mathematical functions
|