(in Polish) Hydrodynamics and elasticity
General data
Course ID: | 1100-4HaE |
Erasmus code / ISCED: |
13.2
|
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
|
Language: | English |
Main fields of studies for MISMaP: | mathematics |
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 |
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MO TU WYK
W TH CW
FR |
Type of class: |
Classes, 45 hours
Lecture, 45 hours
|
|
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 |
Navigate to timetable
MO TU WYK
W TH CW
FR |
Type of class: |
Classes, 45 hours
Lecture, 45 hours
|
|
Coordinators: | Gustavo Coelho Abade | |
Group instructors: | Gustavo Coelho Abade, Marta Wacławczyk | |
Students list: | (inaccessible to you) | |
Examination: | Examination |
Copyright by University of Warsaw.