Hydrodynamics & Elasticity 2023/2024

On Pont des Arts in Paris

Maciej Lisicki & Piotr Szymczak

Lectures: Tuesdays 13:15 – 16:00
Tutorials: Thursdays 9:15 – 12:00

Test 1: 27 November, 9:00 - 13:00, room: 2.07/2.08
Test 1 vol. 2: 28 November, 8:30 - 12:00, room: 2.08
Test 2: 16 January, 13:15 – 16:15

Exam: 30 January



Homework assistant: Rishabh Sharma
Please get in touch with Rishabh if you have any queries regarding homework, grading, and solutions at Rishabh.Sharma [at] fuw.edu.pl

[Test 1 – Solutions]
[Test 2 – P1 solved] [Test 2 – P2 solved] [Test 2 – P3 solved by M. Duch (2022)]

Homework problems:
[Sheet 1] (due 12 Oct) [S1P2 solved by M. Polakowski]
[Sheet 2] (due 19 Oct) [S2P1 solved by M. Broda & M. Popławska]
[Sheet 3] (due 26 Oct) [S3P3 solved by R. Sharma] [S3P4 solved]
[Sheet 4] (due 9 Nov) [S4P2 solved by R. Sharma] [S4P4 solved]
[Sheet 5] (due 16 Nov) [S5P2 solved] [S5P4 solved]
[Sheet 6] (due 23 Nov) [S6P1 solved] [S6P4 solved]
[Sheet 7] (due 30 Nov) [S7P2 solved by M. Polakowski]
[Sheet 8] (due 7 Dec) [S8P1 solved by M. Popławska] [S8P4 solved by S. Michniak]
[Sheet 9] (due 14 Dec) [S9P1 solved] [S9P2 solved] [S9P4 solved by J. Gamdzyk]
[Christmas Sheet] [Vortex rings by a vape artist – don't try this at home, YouTube]
[Sheet 10] (due 25 Jan)

[Training Sheet before Test 2]

[Solutions of exam problems]
[List of topics for the oral exam]

Additional materials:
Orthogonal transformations
Isotropic tensors of rank 1, 2, 3, 4, 5, ... – Elliot A. Kearsley
Gauss' theorem for arbitrary tensor fields
[Kinematic reversibility of Stokes flows, YouTube]
Mehta, R. D. (1985). Aerodynamics of Sports Balls. Annual Review of Fluid Mechanics, 17(1), 151–189.

    Recommended reading
  • B. Lautrup, Physics of Continuous Matter, IoP Publishing (2005).
  • L.D. Landau, E.M. Lifshitz, Hydrodynamics
  • L.D. Landau, E.M. Lifshitz, Theory of Elasticity
  • S.C. Hunter, Mechanics of Continuous Media, Ellis Horwood Ltd. (1976).
  • D.J. Acheson, Elementary Fluid Dynamics, Oxford Univ. Press (1999).
  • National Committee for Fluid Mechanics Films.