Introduction to fluid dynamics, 2018, by Robert Scott,

Class -- Batiment F 205

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Slides for lectures

• 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).

Addtional resources

Principle reference (in French)

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

Maths

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

Advanced by truely an introduction

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

Voyez aussi:

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