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.
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by Mateusz Dyndal, Laurent Schoeffel - arXiv
There are many deep open questions that come with the theory of fluid mechanics. We discuss some of them that we classify in two categories, the long term behavior of solutions of equations of hydrodynamics and the definition of initial conditions.
by A. Tsionskiy, M. Tsionskiy - arXiv
Solutions of the Navier-Stokes and Euler equations with initial conditions (Cauchy problem) for two and three dimensions are obtained in the convergence series form by the iterative method using the Fourier and Laplace transforms in this paper.
by Genick Bar–Meir
This book describes the fundamentals of compressible flow phenomena for engineers and others. It can be used as a reference book for people who have some knowledge of the basics of fundamental fluid mechanics, calculus, and physics.
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.