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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) 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.

view allocation of credits
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.

This course is not currently offered.
Course descriptions are protected by copyright.
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00-927 Warszawa
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