Hydrodynamics and elasticity 1100-4HaE
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.
Kierunek podstawowy MISMaP
matematyka
Tryb prowadzenia
Koordynatorzy przedmiotu
W cyklu 2024Z: | W cyklu 2023Z: |
Kryteria oceniania
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.
Literatura
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.
Więcej informacji
Dodatkowe informacje (np. o kalendarzu rejestracji, prowadzących zajęcia, lokalizacji i terminach zajęć) mogą być dostępne w serwisie USOSweb: