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from Case Study III - Mechanics and Dynamics: Linear and Non-linear
Published online by Cambridge University Press: 27 March 2020
The motion of fluids is a complex area of physics because of the non-linearity of their equations of motion. As an introduction to the field, a selection of important results in the motions of fluids and gases, illustrating the richness and complexity of the subject as well as the often non-intuitive features of fluid flow, are presented.The topics include Bernoulli’s equations, gravity waves in shallow and deep water, viscous flow, Stokes’ formula for viscous flow past a spherical body, vorticity and Kelvin’s circulation theorem. The emphasis is upon the physics of the problems, rather than the mathematical complexities involved.
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