| 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
→ list of exam dates
|
| Homepage: |
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Hydrodynamics
|
| News: |
Contact N.B. to set up the date of your exam!
Outcome of the evaluation
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| 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
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| Content: |
→ all pages in a single file
[version of July 16]
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
Fundamental equations of non-relativistic fluid dynamics
April 23 Reynolds transport theorem; conservation of mass
April 24 Perfect fluids: Euler equation
April 30 Newtonian fluids: Navier–Stokes equation; energy & entropy balance equations in fluids
Simple inviscid non-relativistic flows
May 7 & 8 Hydrostatics; Bernoulli equation
May 8 Vortex dynamics in perfect fluids
May 14 Potential flows
Non-relativistic flows of Newtonian fluids
May 15 & 21 Simple steady flows of a Newtonian fluid
→ further reading: Viscous electron fluids
May 21 Dynamical similarity
May 22 Dimensional analysis (slides)
May 28 Flows at low Reynolds number
→ further reading: Life at low Reynolds number
Waves in non-relativistic fluids
May 29 Sound waves
June 4 Shock waves
June 5 Linear sea surface waves
June 11 Sound waves in a gravity field. A few words on hydrodynamic instabilities
Non-relativistic flows of Newtonian fluids (2)
June 12 Turbulence in fluids: phenomenology; Reynolds decomposition
June 18 Statistical description of turbulence
June 19 Convective heat transfer; Rayleigh–Bénard convection
Dynamics of relativistic fluids
June 25 Fundamental equations of relativistic fluid dynamics
June 26 Perfect relativistic fluids: equations of motion
July 2 Perfect relativistic fluids: non-relativistic limit; interlude: curvilinear coordinates
July 3 Example of perfect relativistic flow
July 9 Dissipative relativistic fluids: dissipative currents; Eckart & Landau frames
July 10 Dissipative relativistic fluids: general equations of motions; first order dissipative fluids
July 16 Second order dissipative fluids; example of dissipative relativistic flow
July 17 A few ideas on numerical (Eulerian) 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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