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(in Polish) Hydrodynamics and elasticity

General data

Course ID: 1100-4HaE
Erasmus code / ISCED: 13.2 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0533) Physics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: (unknown)
Name in Polish: Hydrodynamics and elasticity
Organizational unit: Faculty of Physics
Course groups: (in Polish) Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics"
(in Polish) Physics (Studies in English); 2nd cycle
(in Polish) Przedmioty do wyboru dla doktorantów;
(in Polish) Przedmioty obieralne na studiach drugiego stopnia na kierunku bioinformatyka
Astronomy (1st level); Elective courses
Astronomy, individual path; elective courses
Physics (1st level); elective courses
Physics (2nd cycle); courses from list "Selected Problems of Modern Physics"
Physics (2nd level); elective courses
Physics, 2nd level; Geophysics
Physics, 2nd level; Mathematical and Computer Modeling of Physical Processes
Physics, 2nd level; Theoretical Physics
Physics, individual path; elective courses
ECTS credit allocation (and other scores): 7.00 Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.
Language: English
Main fields of studies for MISMaP:

mathematics
physics

Mode:

Classroom

Short description: (in Polish)

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 introduces the basic equations of hydrodynamics and elasticity and

methods of their solution.

• We discuss the physics of everyday phenomena

• We provide a uniform mathematical framework to describe flow and deformation

• We show numerous real-life applications and examples

Full description: (in Polish)

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

1. Continuum description of matter, conservation laws and fundamental equations - Navier-Stokes and friends;

2. Hydrostatics: pressure, lift force, stability, ships and balloons

3. Inviscid flows: Euler equations, potential flows, lift force, d'Alembert paradox

4. Viscous flows: Why do planes fly? Boundary layer and explanation of aerodynamic lift. Low-Reynolds numbers and the Aristotelian world. Swimming of microorganisms;

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

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

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

Bibliography: (in Polish)

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.

Assessment methods and assessment criteria: (in Polish)

During the semester there will be two mid term exams and homework assignments (every week). The final exam will be given during the final exam period.

Classes in period "Winter semester 2023/24" (past)

Time span: 2023-10-01 - 2024-01-28
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 45 hours more information
Lecture, 45 hours more information
Coordinators: Maciej Lisicki, Piotr Szymczak
Group instructors: Maciej Lisicki, Piotr Szymczak
Students list: (inaccessible to you)
Examination: Examination

Classes in period "Winter semester 2024/25" (future)

Time span: 2024-10-01 - 2025-01-26
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 45 hours more information
Lecture, 45 hours more information
Coordinators: Gustavo Coelho Abade
Group instructors: Gustavo Coelho Abade, Marta Wacławczyk
Students list: (inaccessible to you)
Examination: Examination
Course descriptions are protected by copyright.
Copyright by University of Warsaw.
Krakowskie Przedmieście 26/28
00-927 Warszawa
tel: +48 22 55 20 000 https://uw.edu.pl/
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