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There is a certain body of knowledge and methods that finds application in most branches of fluid mechanics. This book aims to supply a proper theoretical understanding that will permit sensible simplifications to be made in the formulation of problems, and enable the reader to develop analytical models of practical significance. Such analyses can be used to guide more detailed experimental and numerical investigations. As in most technical subjects, such understanding is acquired by detailed study of highly simplified 'model problems'. The first part (Chapters 1-4) is concerned entirely with the incompressible flow of a homogeneous fluid. It was written for the Boston University introductory graduate level course 'Advanced Fluid Mechanics'. The remaining Chapters 5 and 6 deal with dispersive waves and acoustics, and are unashamedly inspired by James Lighthill's masterpiece, Waves in Fluids.
Fluid dynamics --- Hydrodynamics --- Sound --- Waves --- 532.5 --- Cycles --- Benjamin-Feir instability --- Acoustics --- Continuum mechanics --- Mathematical physics --- Physics --- Pneumatics --- Radiation --- Wave-motion, Theory of --- 532.5 Liquid motion. Hydrodynamics --- Liquid motion. Hydrodynamics --- Mathematical models --- Waves. --- Sound. --- Mathematical models.
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The book is an introduction to the branch of fluid mechanics concerned with the production of sound by hydrodynamic flows. It is designed for a one semester introductory course at advanced undergraduate or graduate level. Great care is taken to explain underlying fluid mechanical and acoustic concepts, and to describe as fully as possible the steps in a complicated derivation. The discussion deals specifically with low Mach number flows, which enables the sound produced by 'vortex-surface' interactions to be analysed using the 'compact Green's function'. This provides a routine procedure for estimating the sound, and an easy identification of those parts of a structure that are likely to be important sources of sound. Each chapter ends with a set of problems, many of which can form the basis of an extended student project. The final chapter contains worked examples that have been investigated by students at Boston University.
Fluid dynamics. --- Fluids --- Dynamics --- Fluid mechanics --- Acoustic properties. --- Fluid dynamics --- 534.8 --- Acoustic properties --- 534.8 Applications of acoustics (theory) --- Applications of acoustics (theory)
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