Hydrodynamics





Time/place: Lecture (eKVV):  Tue 10:00-12:00 (D6-135), Wed 08:30-10:00 (D6-135)
Tutorials (eKVV):  Mon 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 9
The tutorials will start in the following week
 
Prerequisites: Classical mechanics, Special Relativity, Thermodynamics & Statistical physics
(Theoretische Physik I, II, III)
 
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
 
Content: → all pages in a single file  [version of April 9]
Basic notions on continuous media
  April 9 Continuum hypothesis; local thermodynamic equilibrium; Lagrangian description
  April 10 Eulerian description; mechanical stress
  April 16 & 17 Kinematics of deformable bodies
 
Still to come:
- 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