Selected topics in Fluid Mechanics
General data
Course ID: | 1103-5Geo23 |
Erasmus code / ISCED: |
13.204
|
Course title: | Selected topics in Fluid Mechanics |
Name in Polish: | Selected topics in Fluid Mechanics |
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; Astronomy (1st level); Elective courses Astronomy, individual path; elective courses Courses in English Physics (1st level); elective courses Physics (2nd cycle); courses from list "Selected Problems of Modern Physics" Physics, 2nd level; Geophysics Physics, individual path; elective courses |
Course homepage: | https://www.fuw.edu.pl/~rwaszkiewicz/advanced_hydrodynamics/ |
ECTS credit allocation (and other scores): |
6.00
|
Language: | English |
Main fields of studies for MISMaP: | physics |
Type of course: | elective courses |
Mode: | Classroom |
Short 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. |
Full description: |
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. 1. Boundary layer theory. Prandtl's theory. Asymptotic expansions. Why does a plane fly? 3. 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. 4. 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. Elements of magnetohydrodynamics (MHD). 5. Bits and pieces of interests to the attendees. Interested in a particular aspect of fluid flows? We will happily discuss it further. |
Bibliography: |
1. Acheson, D. J., Elementary Fluid Dynamics, Clarendon (1990). 2. Batchelor, G. K. Introduction to Fluid Dynamics, Cambridge University Press (1967). 3. Landau and Lifshitz, Fluid Mechanics (2nd Ed.), Pergamon Press (1987). 4. Pedlosky, J. Geophysical Fluid Dynamics, Springer (1986). 5. Lautrup, B. Physics of Continuous Matter. |
Learning outcomes: |
After completing the course the student will be able to formulate problems in fluid mechanics and understand the underlying hypotheses. Familiarity with the methods of linear stability theory and differential equations is assumed. |
Assessment methods and assessment criteria: |
Exercises, colloquia and oral exam. |
Classes in period "Summer semester 2023/24" (in progress)
Time span: | 2024-02-19 - 2024-06-16 |
Navigate to timetable
MO TU W TH CW
WYK
FR |
Type of class: |
Classes, 30 hours
Lecture, 30 hours
|
|
Coordinators: | Krzysztof Mizerski | |
Group instructors: | Krzysztof Mizerski, Marta Wacławczyk | |
Students list: | (inaccessible to you) | |
Examination: | Examination |
Copyright by University of Warsaw.