Hydrodynamics (teaching)

This page contains resources and pointers for the courses in hydrodynamics that I teach.

• general resources
• master M2IPE (Engineering and Physics of Energies)
• master M2ICFP (International Centre for Fundamental Physics)

General resources

• A sheet with Navier-Stokes equations, continuity equations, and stress tensor, in cylindrical and spherical coordinates, in all their beauty. I hope I did not make too many mistakes! [Licence: CC-by-4.0]

• You can find lots of high quality videos of fluid flows and fluid mechanics courses on the internet. An excellent starting point is this directory of the National Committee for Fluid Mechanics Films.

• One of my favorites is the introduction to hydrodynamics by Hunter Rouse. Boundary Layers are covered in episode 4, Characteristics of Laminar and Turbulent Flow.

• The Division of Fluid Dynamics of the American Physical Society holds an annual contest awarding aesthetically appealing fluid dynamic flow videos, which you can browse in the Gallery of Fluid Motion.

Book recommendations

• Guyon, É and Hulin, J.-P. and Petit, L. and Mitescu, C. D., Physical Hydrodynamics, Oxford University Press (2001), ISBN-13: 978-0198517450 ; Original french edition: Guyon, É. and Hulin, J.-P. and Petit, L., Hydrodynamique Physique, EDP Sciences (2001), ISBN-13: 978-2868835024

• Faber, T. E. Fluid Dynamics for Physicists, Cambridge University Press (1995), ISBN-13: 978-0521429696

• Charru, F., Hydrodynamic Instabilities, Cambridge University Press (2011), ISBN-13: 978-0521143516; Original french edition: Charru, F., Instabilités Hydrodynamiques, EDP Sciences (2007), ISBN-13: 978-2868839855

• The Feynman Lectures on Physics, vol. II, chapters 40: The flow of dry water & 41: The flow of wet water, Basic Books (2015), ISBN 978-0465040841, online at http://www.feynmanlectures.info/.

Master course for Engineering and Physics of Energies

(to the official page of the Master Ingénierie Physique des Énergies)

Hydrodynamics courses in 2015/2016

Former exams

• Exam 2011/2012: Thin film flow on an incline; Liquid jet deflected by a plane
• Exam 2012/2013: Flow between two plates; Lubrication

Course 1: Boundary layers

• Illustrations shown in the classroom

• Derivation of the laminar boundary layer equations (Prandtl’s equations)

Cours 2: Boundary layers (second part)

• TD 1: Wake of a slender body; the calculation of the boundary layers is taken from the book “Grenzschichttheorie” / “Boundary Layer Theory” of H. Schlichting & K. Gersten: extract of the english edition or from the german edition.</li>

• TD 2: Dimensional analysis, orders of magnitude, scaling laws

Course 3: Dimensional analysis, orders of magnitude, scaling laws

• Wikipedia page with a list of dimensionless quantities.

• Some files shown in the classroom
  • a table with the physical dimensions of various quantities (from the book by White),
  • a table of dimensionless quantities (White, again),
  • a graph showing the typical behaviour of drag and the effect of wall rugosity.
• TD 3: Asymptotic matching: simple illustration. This example is taken from the book “Grenzschichttheorie” / “Boundary Layer Theory” by H. Schlichting & K. Gersten. Here are the pages discussing this example, from the english PDF / Djvu or german: PDF / Djvu edition.

Master course at the International Centre for Fundamental Physics

(for more information about this master click here)

• Lecture notes for the first course (french): parallel flows

• Part of the 2012/2013 exam (on quasi-parallel flows): wake of a slender body and its solution as presented in H. Schlichting’s book on Boundary Layer Theory (english edition or german edition)

• TD1: Parallel flows in curved geometries / Écoulements parallèles en géométries courbes

• TD2: Quasi-parallel flow and lubrication / Écoulements quasi-parallèles et lubrification

• TD3: Flow at low Reynolds number / Écoulement à faible nombre de Reynolds

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Last modified: 20 Dec 2021