Lecture notes in fluid mechanics: From basics to the millennium problem
by Laurent Schoeffel
Publisher: arXiv 2014
Number of pages: 67
These lecture notes have been prepared as a first course in fluid mechanics up to the presentation of the millennium problem listed by the Clay Mathematical Institute. With this document, our primary goal is to debunk this beautiful problem as much as possible.
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by Joseph M. Powers - University of Notre Dame
Lecture notes on intermediate fluid mechanics: Derivation of governing equations of mass, momentum, and energy for a viscous, compressible fluid; general survey of vortex dynamics, potential flow, viscous flow, and compressible flow.
by Denis Bernard - arXiv
Series of lectures on statistical turbulence written for amateurs but not experts. Elementary aspects and problems of turbulence in two and three dimensional Navier-Stokes equation are introduced. A few properties of scalar turbulence are described.
by Jean-Luc Thiffeault - arXiv
Mixing is relevant to many areas of science and engineering, including the pharmaceutical and food industries, oceanography, atmospheric sciences, etc. In all these situations one goal is to improve the degree of homogenisation of a substance.
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Contents: Introduction; Fluid flow; Trajectories and streamlines; Conservation of mass; Balance of momentum; Transport theorem; Simple example flows; Kelvin's circulation theorem; Bernoulli's Theorem; Irrotational/potential flow; etc.