Hydrodynamics I





Time/place: Lecture (eKVV):  Mon 08:30-10:00 (in D01-249) 
→  link to the Zoom meeting room  (meeting ID: 990 7019 1482; password sent by email)
Tutorials (eKVV):  Wed 9:00-10:00 (in D6-135)
→  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:  Nina Kersting and/or Hendrik Roch
 
Oral exam, registration at the end of the semester

Homepage:   http://www.physik.uni-bielefeld.de/~borghini/Teaching/Hydro-I/
 
News: no lecture on June 1st (Whit Monday) 
 
Prerequisites: Classical mechanics, Thermodynamics & Statistical physics
(Theoretische Physik I, 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
 
Content: Basic notions on continuum media  (summary slides)
  April 20  Continuum hypothesis; local thermodynamic equilibrium
  April 27 Lagrangian and Eulerian descriptions; mechanical stress
Kinematics of deformable bodies  (summary slides)
  May 4 Motion of a fluid element; classification of fluid flows
Fundamental equations of non-relativistic fluid dynamics (1)  (summary slides)
  May 11 Reynolds transport theorem; conservation of mass
  May 18 Perfect fluid: Euler equation; energy conservation
Simple inviscid non-relativistic flows
  May 25 Hydrostatics; steady flows of a perfect fluid  (summary slides)
  (June 1) Vortex dynamics in a perfect fluid  (summary slides)
Fundamental equations of non-relativistic fluid dynamics (2)  (summary slides)
  June 8 Navier-Stokes equation
  June 15 Energy conservation and entropy balance in a Newtonian fluid
Simple flows of a Newtonian fluid
  June 15 Statics of a Newtonian fluid; simple steady laminar incompressible viscous flows (1)
  June 22 Simple steady laminar incompressible viscous flows (2); dimensional similarity
                → further reading: Viscous electron fluids
  June 29 Flows at low Reynolds number
                → further reading: Life at low Reynolds number
Waves and turbulence
  July 6 Sound waves; shock waves
  July 13 Introduction to turbulence: phenomenology; Reynolds decomposition
 
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