| Time/place: |
Lecture
(eKVV):
Mon 08:30-10:00 (D6-135), Wed 10:00-12:00 (D6-135)
→ link to the Zoom meeting (meeting ID: 913 5458 9590; the password will be sent by email)
Tutorials
(eKVV):
Wed 08:30-10:00 (D6-135; same Zoom link)
Instructor: Nicolas Borghini (borghini at physik dot uni-bielefeld dot de)
E6-123
Tutor: Christian Eidecker-Dunkel
Oral exam, registration at the end of the semester
→ list of exam dates
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| Homepage: |
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Hydrodynamics22
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| News: |
Outcome of the lectures evaluation
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| Prerequisites: |
Classical mechanics, Special Relativity, Thermodynamics & Statistical physics
(Theoretische Physik I, II, III)
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| 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)
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| Content: |
→ the whole (incomplete) notes in a single file
[version of June 29]
Basic notions on continuum media
April 4 Continuum hypothesis; local thermodynamic equilibrium
April 11 Lagrangian and Eulerian descriptions
April 13 Mechanical stress
Kinematics of deformable bodies
April 13 Rotation rate tensor
April 20 Deformation rate tensor; classification of fluid flows
Fundamental equations of non-relativistic fluid dynamics (1)
April 25 Reynolds transport theorem; conservation of mass
April 27 Euler equation & energy conservation in a perfect fluid
Inviscid non-relativistic flows
May 2 Hydrostatics; steady flows of a perfect fluid
May 4 Vortex dynamics in a perfect fluid
May 9 Potential flows
Waves in non-relativistic perfect fluids
May 11 Linear sea surface waves
May 16 Sound waves in a perfect fluid
May 18 Shock waves
Dissipative non-relativistic flows
May 23 Fundamental equations of the dynamics of non-relativistic Newtonian fluids
May 25 Simple steady flows of a Newtonian fluid
→ further reading: Viscous electron fluids
May 30 Dynamical similarity;
Dimensional analysis and π-theorem
(slides)
(June 1st Surface waves on a perfect fluid revisited: linear & solitary waves)
June 8 Flows at low Reynolds number
→ further reading: Life at low Reynolds number
June 13 Sound waves in a Newtonian fluid;
Sound waves in a gravity field
June 15 Turbulence in fluids: phenomenology; Reynolds decomposition
June 20 Statistical description of turbulence
June 22 Equations of convective heat transfer
June 27 Rayleigh–Bénard convection
→ further reading: Convection
Dynamics of relativistic fluid dynamics
June 29 Fundamental equations of relativistic fluid dynamics
July 4 Perfect relativistic fluids: fundamental equations
July 6 Perfect relativistic fluids: non-relativistic limit; example(s) of perfect relativistic flow(s)
July 11 & 13 Dissipative relativistic fluids; example of dissipative relativistic flow
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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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