Class -- Batiment F 205

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**Lecture 1: Introduction, properties of fluids**. Continuum hypothesis and Knudsen number, body forces, surface forces and the stress tensor, digression on tensors, exercises on converting between tensor and vector notation. Aug 31, 2018. Added Table 1.**Lecture 2: properties of fluids continued**. Mechanical pressure, Mach number and compressibility, hydrostatic balance. Digression on elementary differential and integral calculus, advanced vector calculus theorems: divergence, curl, Gauss' (divergence) theorem. Stress tensor for a Newtonian fluid, dynamic and kinematic viscosity.**Lecture 3: Dynamics of fluids**. Eulerian vs. Lagrangian description of fluid motion, Eulerian and material time derivatives, continuity equation, justified the incompressible fluid approximation and showed divergence is negligible for Mach <<1, derived the Navier-Stokes equations.Mis a jour le 10 septembre 2018. I added the review of dot and cross products.

**Lecture 4: Dynamics of fluids(continued) and applications**. Energy balance, Bernouli equation, Momentum theorem. Applications: force on a mesh, maximum power from a wind turbine (Betz's law).

* Mécanique des Fluids
*, (2017), par Olivier Arzel, see your database. This is the document I refer to in the class as "Arzel's notes".

* any introductory linear algebra textbook will cover matrices: their muliplication, addition, determinant, and trace
*,

*An Introduciton to fluid dynamics
*, (2000), by George Batchelor

Voyez aussi:

* Fluid Mechanics
*, (1959), par Lev Landau et Evguéni Lifchitz