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 M. E. Cates - arXiv
These lectures start with the mean field theory for a symmetric binary fluid mixture, addressing interfacial tension, the stress tensor, and the equations of motion (Model H). We then consider the phase separation kinetics of such a mixture.
by Matthew Marko - viXra
The author demonstrates a stable Lagrangian solid modeling method, tracking the interactions of solid mass particles, rather than using a meshed grid. This method avoids the problem of tensile instability seen with Smooth Particle Applied Mechanics.
by Stephen Childress - New York University
This course will deal with a mathematical idealization of common fluids. The main idealization is embodied in the notion of a continuum and our 'fluids' will generally be identified with a certain connected set of points in 1, 2, or 3 dimensions.
by David Lentink - Wageningen University
Many organisms move through water or air in order to survive and reproduce. It is useful to analyze fluid motion as a collection of vortices: vortices interact with the moving organism, interact with each other, and evolve independently in time.