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katalog przedmiotów - pomoc

Hydrodynamics and elasticity

Informacje ogólne

Kod przedmiotu: 1100-4HaE Kod Erasmus / ISCED: 13.2 / (0533) Fizyka
Nazwa przedmiotu: Hydrodynamics and elasticity
Jednostka: Wydział Fizyki
Grupy: Astronomia, I stopień; przedmioty do wyboru
Astronomia, studia indywidualne; przedmioty do wyboru
Fizyka, I st. studia indywidualne; przedmioty do wyboru
Fizyka, I stopień; przedmioty do wyboru
Fizyka, II stopień; przedmioty z listy "Wybrane zagadnienia fizyki współczesnej"
Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics"
Physics (Studies in English); 2nd cycle
Przedmioty do wyboru dla doktorantów;
Punkty ECTS i inne: 7.00
Język prowadzenia: angielski
Kierunek podstawowy MISMaP:


Założenia (opisowo):

Familiarity with thermodynamics, mathematical analysis, and algebra is assumed.

Tryb prowadzenia:

w sali

Skrócony opis:

The theoretical framework known as hydrodynamics and elasticity provides a powerful and complete description of our world at macroscopic scales (i.e, at large scales and long times compared to the molecular scales). 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.

Pełny opis:

The course will cover a range of topics, such as:

1. The fundamental equations of continuum mechanics: Navier-Stokes and friends;

2. Inviscid flows: Euler equation, potential flow, lift and drag forces exerted by moving fluid on immersed bodies; fluid sounds, splashing and pouring.

3. Viscous flows: Why do planes fly? Boundary layer and explanation of aerodynamic lift. Micro-hydrodynamics and swimming motion of flagellated microorganisms;

4. Flows with a twist: Vortices – bathtub vortex versus tornado.

5. Elasticity theory: Stress and deformation, bending and twisting of shafts rods, microtubules, and DNA.

6. Waves: Shallow- and deep-water, capillary waves and tsunamis; seismic waves.


1. B. Lautrup, Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World.

2. D.J. Acheson, Elementary fluid dynamics.

3. L. D. Landau and E. M. Lifshitz, Fluid mechanics.

4. L. D. Landau, L. P. Pitaevskii, A. M. Kosevich, and E.M. Lifshitz, Theory of elasticity.

5. S. C. Hunter, Mechanics of continuous media.

Efekty uczenia się:

The students should be able to formulate boundary value problems in hydrodynamics and elasticity, and understand the underlying hypothesis.

Metody i kryteria oceniania:

Final assessment will be based on one colloquium (during the semester) and a written and oral exam (during the exam session). All students can take the written exam. The oral exam may be taken by students who obtained at least 50% of the total number of points possible during the colloquium and written exam. A list of theoretical questions for the oral exam will be announced in advance. Attendance at lectures and tutorials is strongly encouraged, but is not compulsory.

Zajęcia w cyklu "Semestr zimowy 2019/20" (zakończony)

Okres: 2019-10-01 - 2020-01-27
Wybrany podział planu:

zobacz plan zajęć
Typ zajęć: Ćwiczenia, 45 godzin więcej informacji
Wykład, 45 godzin więcej informacji
Koordynatorzy: Gustavo Coelho Abade
Prowadzący grup: Gustavo Coelho Abade, Maciej Lisicki
Lista studentów: (nie masz dostępu)
Zaliczenie: Przedmiot - Egzamin
Wykład - Egzamin
Opisy przedmiotów w USOS i USOSweb są chronione prawem autorskim.
Właścicielem praw autorskich jest Uniwersytet Warszawski.