Introductory Fluid Mechanics
by Simon J.A. Malham
Publisher: Heriot-Watt University 2011
Number of pages: 49
From the table of contents: Introduction; Fluid flow; Trajectories and streamlines; Conservation of mass; Balance of momentum; Transport theorem; Simple example flows; Kelvin's circulation theorem, vortex lines and tubes; Bernoulli's Theorem; Irrotational/potential flow; Dynamical similarity and Reynolds number; Exercises; Notes.
Download or read it online for free here:
by A. N. Varchenko, P. I. Etingof - American Mathematical Society
This book concerns the problem of evolution of a round oil spot surrounded by water when oil is extracted from a well inside the spot. It turns out that the boundary of the spot remains an algebraic curve of degree four in the course of evolution.
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.
by J. J. Stoker - Interscience Publishers
Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications.
by Erich Miersemann - Leipzig University
In these notes we study liquid layers, capillary interfaces and floating bodies. Leading term in the associated equilibrium equation for the interface is the mean curvature. In the case of liquid layers no volume constraint or contact angle occur.