IGF



Hydrodynamics and Elasticity

dr Gustavo Abade

Rok akademicki: 2020/2021
Semestr: zimowy

OPIS PRZEDMIOTU

The theoretical framework known as hydrodynamics and elasticity provides a powerful and complete description of our world at macroscopic scales (i.e., at large spatial and time scales compared to the molecular ones). The macroscopic dynamics of a variety of complex systems, such as biological and soft materials, atmospheric clouds, and the crust of the Earth, poses a formidable challenge for theoretical modeling, in which knowledge of classical hydrodynamics and elasticity is a major prerequisite. This course gives an introduction to the derivation of the basic equations of hydrodynamics and elasticity as well as common methods for their solutions in simple applications.

Due to the COVID-19 pandemic, both lectures and tutorials will be online. We will meet weekly via Google Meet according to the schedule published in USOS.

  • Lecture: Tuesdays, 14:15 - 17:00 (Gustavo Abade)
  • Tutorials: Thursdays, 9:15 - 12:00 (Daniel Albuquerque)

Program:

  1. The fundamental equations of continuum mechanics;
  2. Inviscid flows: Euler equation, sound waves, potential flow, lift and drag forces exerted by moving fluid on immersed bodies;
  3. Viscous flows: Navier-Stokes equations, boundary layer and explanation of aerodynamic lift. Micro-hydrodynamics and swimming motion of flagellated microorganisms;
  4. Waves: shallow- and deep-water, capillary waves;
  5. Elasticity theory: Stress and deformation, bending and twisting of shafts rods.

Bibliography:

  1. D. J. Acheson, Elementary fluid dynamics.
  2. B. Lautrup, Physics of continuous matter: exotic and everyday phenomena in the macroscopic world.
  3. G. K. Batchelor, An introduction to fluid dynamics.
  4. L. D. Landau and E. M. Lifshitz, Fluid mechanics.
  5. A. R. Patterson, A first course in fluid dynamics.

Assessment:

The final assessment will be based on one test (during the semester) and a written exam (during the exam session). A tentative schedule for examinations is:

  • Test: Thu 10 December 2020 (9:15 - 12:00)
  • Exam: Thu 4 February 2021 (9:15 - 12:00)

Materiały do zajęć

FILTR
Zajęcia / Prowadzący Typ zajęć
Dokumenty do zajęć:
Board notes - Prezentacja
HaE_lecture_board_26_jan_2021.pdf
Wykład
Dokumenty do zajęć:
Board notes - Prezentacja
HaE_lecture_board_19_jan_2021.pdf
Wykład

Gustavo Abade

12 stycznia 2021 14:15

Dokumenty do zajęć:
Board notes - Prezentacja
HaE_lecture_board_12_jan_2021.pdf
Wykład

Daniel Albuquerque

7 stycznia 2021 09:15

Dokumenty do zajęć:
Exercise Sheet 9 - Skrypt do ćwiczeń
exercises09.pdf
Tutorial Notes
HaE - Tutorial notes_9.pdf
Homework 9 (Due 14.01.2021)
homework09.pdf
Ćwiczenia
Dokumenty do zajęć:
Board notes - Prezentacja
HaE_lecture_board_22_dec_2020.pdf
Script on the hydrodynamics of viscous fluids - Skrypt do wykładu
viscous_fluids.pdf

Daniel Albuquerque

17 grudnia 2020 09:15

Dokumenty do zajęć:
Exercise Sheet 8 - Skrypt do ćwiczeń
exercises08.pdf
Tutorial Notes
HaE - Tutorial notes_8.pdf
Homework 8 (Due 07.01.2021)
homework08.pdf
Ćwiczenia
Dokumenty do zajęć:
Board notes - Prezentacja
HaE_lecture_board_15_dec_2020.pdf
Wykład

Gustavo Abade

8 grudnia 2020 14:15

Dokumenty do zajęć:
Board notes - Prezentacja
HaE_lecture_board_08_dec_2020.pdf
Wykład
Dokumenty do zajęć:
Exercise Sheet 7 - Skrypt do ćwiczeń
exercises07.pdf
Tutorial Notes
HaE - Tutorial notes_7.pdf
Homework 7 (Due Dec. 10, 2020)
homework07.pdf
Ćwiczenia
Dokumenty do zajęć:
Exercise Sheet 6 - Skrypt do ćwiczeń
exercises06.pdf
Tutorial Notes
HaE - Tutorial notes_6.pdf
Homework 6 (Due 02.12.2020)
homework06.pdf
Ćwiczenia
Dokumenty do zajęć:
Lecture notes - Prezentacja
HaE_lecture_board_01_dec_2020.pdf
Wykład

Gustavo Abade

24 listopada 2020 14:15

Dokumenty do zajęć:
Script on the hydrodynamics of ideal fluids - Skrypt do wykładu
script_ideal_fluid.pdf
Lecture board - Prezentacja
HaE_lecture_board_24_nov_2020.pdf
Wykład
Dokumenty do zajęć:
Lecture board - Prezentacja
HaE_lecture_board_17_nov_2020.pdf
Wykład

Daniel Albuquerque

19 listopada 2020 09:15

Dokumenty do zajęć:
Exercise Sheet 5 - Skrypt do ćwiczeń
exercises05.pdf
Tutorial Notes
HaE - Tutorial notes_5.pdf
Homework 5 (Due Nov 24, 2020)
homework05.pdf
Ćwiczenia

Gustavo Abade

10 listopada 2020 14:15

Dokumenty do zajęć:
Lecture board - Prezentacja
HaE_lecture_board_10_nov_2020.pdf
Wykład

Daniel Albuquerque

12 listopada 2020 09:15

Dokumenty do zajęć:
Exercise Sheet 4 - Skrypt do ćwiczeń
exercises04.pdf
Tutorial notes
HaE - Tutorial notes_4.pdf
Homework 04 (Due Nov. 17, 2020)
homework04.pdf
Ćwiczenia

Daniel Albuquerque

29 października 2020 09:15

Dokumenty do zajęć:
Exercise Sheet 3 - Skrypt do ćwiczeń
exercises03.pdf
Homework 3 (Due Nov. 05, 2020)
homework03.pdf
Tutorial notes
HaE - Tutorial notes_3.pdf
Ćwiczenia

Gustavo Abade

3 listopada 2020 14:15

Dokumenty do zajęć:
Lecture board - Prezentacja
HaE_lecture_board_03_nov_2020.pdf
Wykład

Gustavo Abade

27 października 2020 14:15

Dokumenty do zajęć:
Balance equations - Skrypt do wykładu
balance_equations.pdf
Lecture board - Prezentacja
HaE_lecture_board_27_oct_2020.pdf
Wykład

Daniel Albuquerque

22 października 2020 09:15

Dokumenty do zajęć:
Exercise sheet 2 - Skrypt do ćwiczeń
exercises02.pdf
Homework 2 (due Oct. 29, 2020, 9:00 a.m.)
homework02.pdf
Tutorial notes
HaE-Tutorial_notes_2.pdf
Ćwiczenia