| Time/place: |
Lecture
(eKVV, Moodle):
Tue 08:30-10:00 (D6-135), Wed 08:30-10:00 (D6-135)
Tutorials
(eKVV, Moodle):
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
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| News: |
∅
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| Prerequisites: |
Classical mechanics, Special Relativity, Thermodynamics
|
| Literature: |
* Faber: Fluid dynamics for physicists
(online access)
* Fließbach: Lehrbuch zur theoretischen Physik:
Band I: Mechanik
(online access)
* Greiner: Hydrodynamik
* Guyon, Hulin, Petit, Mitescu: Physical hydrodynamics
(online access)
* Landau & Lifshitz: Course of theoretical physics:
Vol. 6: Hydrodynamics
* Rezzolla & Zanotti: Relativistic hydrodynamics
(online access, list of corrections)
* Rieutord: Fluid dynamics
(online access)
|
| Content: |
all pages in a single file
[version of May 28, 2026]
Basic concepts of continuum mechanics
April 14 Continuum hypothesis; local thermodynamic equilibrium
April 15 Lagrangian and Eulerian descriptions
April 21 Mechanical stress
Kinematics of deformable bodies
April 21 Generic motion of a fluid
April 22 Rotation rate tensor, deformation tensor
April 28 Classification of fluid flows
Fundamental equations of non-relativistic fluid dynamics
April 28 Reynolds transport theorem
April 29 Mass conservation, Euler equation
May 5 Alternative forms of the Euler equation; energy conservation in perfect fluids
Simple inviscid non-relativistic flows
May 5 Hydrostatics: Archimedes' principle
May 6 Hydrostatics (continued); steady flows: Bernoulli equation
May 12 Applications of the Bernoulli equation
May 12 & 13 Vortex dynamics; potential flows
Fundamental equations of non-relativistic fluid dynamics (2)
May 19 Dynamics of non-relativistic Newtonian fluids: Navier-Stokes equation
May 20 & 26 Energy conservation and entropy balance in Newtonian fluids
Simple non-relativistic flows of Newtonian fluids
May 20 Hydrostatics; simple steady flows (1)
May 27 Simple steady flows (2)
→ further reading: Viscous electron fluids
June 2 Dynamic similarity; Dimensional analysis (slides)
June 3 Flows at low Reynolds number
Waves in non-relativistic fluids
June 9 Sound waves in perfect fluids
June 10 Shock waves
June 16 Sound waves in Newtonian fluids
Turbulence in non-relativistic fluids
June 17 Phenomenology; Reynolds decomposition
June 23 Statistical description
Dynamics of relativistic fluids
June 24 Fundamental equations of relativistic fluid dynamics
June 30 Four-velocity. Equations of motion for perfect relativistic fluids
July 1st Perfect relativistic fluids: non-relativistic limit; interlude: curvilinear coordinates
July 7 Examples of perfect relativistic flows
July 8 Dissipative relativistic fluids: dissipative currents; Eckart & Landau frames
still to come:
- Dissipative non-relativistic flows: convective flows
- (time permitting) Hydrodynamic fluctuations / Numerical hydrodynamics
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| 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
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