Advanced Hydrodynamics
General data
Course ID: | 1100-SZD-AH |
Erasmus code / ISCED: | (unknown) / (unknown) |
Course title: | Advanced Hydrodynamics |
Name in Polish: | Advanced Hydrodynamics |
Organizational unit: | Faculty of Physics |
Course groups: |
(in Polish) Przedmioty do wyboru dla doktorantów; |
Course homepage: | https://www.fuw.edu.pl/~mklis/hydro2019/ |
ECTS credit allocation (and other scores): |
(not available)
|
Language: | English |
Prerequisites (description): | Whether on the scale of a planet, or a pinhead, happening over centuries or over miliseconds, flows of different fluids are all described by the famous Navier-Stokes equations. The course builds on the basic and general tools of continuum mechanics, to look in detail into a collection of phenomena relevant to various systems ranging from protein dynamics, through our everyday kitchen and bathroom experience, to atmospheric dynamics. Relevant approximations leading to the solution of flow equations are discussed. Knowledge of classical continuum mechanics or basic hydrodynamics (e.g. covered by "Hydrodynamics and Elasticity" course) is a suggested prerequisite. |
Mode: | Classroom |
Short description: |
(in Polish) 1. Hydrodynamic instabilities. Boussinesq approximation. Thermal (Rayleigh-Benard) instability. Convection cells. Convection patterns in nature. Wind-generation of waves (Kelvin-Helmholtz instability). Centrifugal (Taylor-Couette) instability. Surface tension and Rayleigh-Plateau instability. 2. Microscale flows. What does dripping honey have in common with glacier flows and swimming bacteria? Why are microscale flows dominated by viscosity? Stokes equations. Microfluidics. 3. Geophysical fluid flows. Equations of motion in a rotating frame. Rossby number. Geostrophic balance. Vorticity and potential vorticity. Quasi-geostrophic approximation. Internal gravity waves. Planetary (Rossby) waves. Baroclinic instability. |
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