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Instructors: Dr. Sara Jabbari Farouji
Event type:
Lecture/practice class
Displayed in timetable as:
08.128.724
Hours per week:
4
Credits:
6,0
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Requirements / organisational issues:
The lecture is designed to be accessible for both graduate level (Master) and undergraduate students in their last year. The only prerequisite is a good knowledge of classical mechanics. Familiarity with basic vector calculus is desired, but a brief introduction will be provided in the beginning of the lecture.
Contents:
This course will provide an introduction to fluid dynamics. It will start with the derivation of the elementary equations of simple fluids and will end with a discussion of current trends and developments in the field of soft matter and complex fluids, such as suspension dynamics and physics of microswimmers.
Table of contents:
1-Introduction: Importance and applications of fluids in pure sciences & technology
2- Basic Physics of Fluids: Description of fluid flow, classification of flow phenomena and flow measurements (rheology)
3- Review of vector calculus and tensor analysis (reminder & identities)
4- Stress and strain tensors
5- The Equations of Fluid Motion (material derivative, mass and momentum conservation)
a) Euler equation for perfect inviscid fluid
b) Navier-Stokes equations
6- Applications of the Navier–Stokes Equations (Bernoulli's theorem, Couette flow, Poiseuille flow)
7-Flow instabilities & pattern formation: phenomenology & mechanisms
8- High Reynolds number turbulence
9- Low Reynolds hydrodynamics (Stokes flow, multipole expansion and lubrication approximation)
10- Suspension dynamics (Faxen’s laws and hydrodynamic interactions )
11- Complex fluids and phenomenological constitutive equations
12- Physics of microswimmers (active fluids)
Recommended reading list:
Pedagogical books:
Elementary Fluid Dynamics, D. J. Acheson
Physical Fluid Dynamics, D. J. Tritton
Fluid Dynamics for Physicists, T. E. Faber
A Physical introduction to Suspension dynamics, E. Guazzelli and J. F. Morris
An Introduction to Dynamics of Colloids, Jan Dhont
Classics:
Fluid Mechanics L.D. Landau and E.M. Lifshitz
An Introduction to Fluid Dynamics G.K. Batchelor
Low Reynolds number hydrodynamics, J. Happel and H. Brenner
Additional information:
The lectures will be given in English. Students are encouraged to contribute to active learning.
The full table of conetent and recommend reading list can be downloade from my homepage:
http://www.staff.uni-mainz.de/sjabbari/Teaching.html
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