| Time/place: |
Lecture
(eKVV):
Wed 10:15-12:00 (in X-E0-222)
→ link to the Zoom meeting room
(meeting ID: 960 2306 4800; password sent by email)
Tutorials
(eKVV):
Wed 08:15-09:00 (in ...)
→ link to the Zoom meeting room
(meeting ID: 972 4826 8147; password sent by email)
Instructor: Nicolas Borghini (borghini at physik dot uni-bielefeld dot de)
E6-123
Tutor: Hendrik Roch and/or Nina Kersting
Oral exam, registration at the end of the semester
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| Homepage: |
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Hydro-II/
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| News: |
none
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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
* 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: |
Dynamics of relativistic fluids
April 22 Fundamental equations of relativistic fluid dynamics
April 29 Four-velocity; perfect relativistic fluid
May 6 Nonrelativistic limit of the dynamical laws for perfect relativistic fluids
Mathematical interlude (1): curvilinear coordinates
May 13 Examples of perfect relativistic flows
May 20 Dissipative relativistic fluids: dissipative currents; local rest frames
May 27 Dissipative relativistic fluids: equations of motion; first- and second-order dissipative hydrodynamics
June 3 An example of dissipative relativistic flow
Nonrelativistic flows
June 3 Potential flows
June 10 Mathematical results on potential flows; two-dimensional potential flows
June 17 Examples of two-dimensional potential flows
June 24 Linear sea surface waves
July 1st Nonlinear sea surface waves; Korteweg-de Vries equation
Mathematical interlude (2): dimensional analysis
July 8 Convective heat transfer
July 15 Statistical description of turbulence
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| Links: |
* Illustrative videos by the (US) National Committee for Fluid Mechanics Films;
you can also check the accompanying film notes
* Online version of the NIST Handbook of mathematical functions
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