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Fluid mechanics

  • 7.5 credits

What does a tsunami have in common with usual surface waves? How does an airplane wing work? And why does the wind usually work against you when riding a bike (even when the wind is from the side)?

Fluid mechanics describes and explains many natural phenomena that we can see around us every day. It also has a lot of applications in industry, physics and other sciences, from astrophysics and climate science to medicine. The subject has its own distinct style, different from much other physics. This is a consequence of the central role of nonlinearities in fluid mechanics, which for example gives rise to turbulence.

The basic concepts and equations of classical fluid mechanics are introduced, and the difference between flows with very large and very small viscosity is considered.  Exact solutions for a few very simple flows are presented, as well as approximate methods for other flows. The second part of the course deals with geophysical fluid dynamics. The fluid mechanical concepts and equations are here applied to large scale flows in the atmosphere and the ocean.

 

  • Course structure

    The course last for a whole semester, with one lecture and one tutorial every week. It begins with an introduction to vector analysis, the mathematical language of fluid mechanics. Then the Navier-Stokes equations are derived, and basic concepts introduced: vorticity, viscosity and Reynolds number. Some steady solutions are studied, and simplified equations for boundary layers and creeping flows. The second part of the course begins by examining flows in rotating systems. Then the properties of the rotating shallow-water equations are explored: conservation of potential vorticity, geostrophic adjustment, Poincaré waves, Rossby waves, and instabilities.

    Teaching format

    The teaching consists of lectures, tutorials and laborations.

    Course material

    Grading criteria, course literature and other material and correspondence related to the course will be available on the course Athena-site at https://athena.itslearning.com once you have registered for the course.

    Assessment

    Cf course plan.

    Examiner

    Here is a link to a list of examiners for 2020:

    https://www.misu.su.se/svenska/utbildning/program-och-kurser#Examinatorer

  • Schedule

    The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.

    You can search for schedules from previous years in TimeEdit, by entering the course code.

    Link to TimeEdit

  • Course literature

    Note that the course literature can be changed up to two months before the start of the course.

    •    Dhrubaditra Mitra, “Introduction to Fluid Mechanics” (lecture notes).
    •    Geoffrey E. Vallis, “Essentials of Atmospheric and Oceanic Fluid Dynamics”, Cambridge University Press (2019).

     

  • More information

    Upcoming courses

    The course will be held every fall semester at 25% pace as evening lectures.

  • Contact

    Student counselor

    email: studievagledare@misu.su.se
    Phone: +46 8 16 24 18