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Theory of Vortex Sound
M. S. Howe
Manufacturer: Cambridge University Press
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Acoustics of Fluid-Structure Interactions (Cambridge Monographs on Mechanics)
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The Theory of Sound, Volume One: Unabridged Second Revised Edition
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Theoretical Acoustics
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Aeroacoustic Measurements
ASIN: 0521012236 |
Book Description
This 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 the advanced undergraduate or graduate level. Great care is taken to explain underlying fluid mechanical and acoustic concepts, and to describe fully 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 analyzed 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.
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This 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 the advanced undergraduate or graduate level. Great care is taken to explain underlying fluid mechanical and acoustic concepts, and to describe fully 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 analyzed 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.
Book Description
This comprehensive introduction to the mathematical theory of vorticity and incompressible flow begins with the elementary introductory material and leads into current research topics. While the book centers on mathematical theory, many parts also showcase the interaction among rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
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This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
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Flow-Induced Vibrations in Engineering Practice (Advances in Fluid Mechanics)
Manufacturer: Wit Pr/Computational Mechanics
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ASIN: 1853126446 |
Book Description
Flow-induced vibrations are complicated flow-structure interaction phenomena that may have disastrous effects. The poor understanding of these can lead to severe damage, which, apart from economic loss, may even claim human lives. Although not so spectacular, flow-induced vibrations of tube banks in heat exchangers or nuclear reactors may result in the damage of installations and the loss of power-generating time.
A large number of papers regarding flow-induced vibrations are being published in journals and presented at conferences but these are often too complex for background reading or design purposes. Providing a compilation of the salient points of various flow-induced vibration mechanisms this text is suitable for both newcomers to this challenging field as well as experienced researchers and practitioners.
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Tubes, Sheets and Singularities in Fluid Dynamics (Fluid Mechanics and Its Applications)
Manufacturer: Springer
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ASIN: 1402009801 |
Book Description
Modern experiments and numerical simulations show that the long-known coherent structures in turbulence take the form of elongated vortex tubes and vortex sheets. The evolution of vortex tubes may result in spiral structures which can be associated with the spectral power laws of turbulence. The mutual stretching of skewed vortex tubes, when they are close to each other, causes rapid growth of vorticity. Whether this process may or may not lead to a finite-time singularity is one of the famous open problems of fluid dynamics.
This book contains the proceedings of the NATO ARW and IUTAM Symposium held in Zakopane, Poland, 2-7 September 2001. The papers presented, carefully reviewed by the International Scientific Committee, cover various aspects of the dynamics of vortex tubes and sheets and of their analogues in magnetohydrodynamics and in quantum turbulence. The book should be a useful reference for all researchers and students of modern fluid dynamics.
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Vortex Dynamics (Cambridge Monographs on Mechanics)
P. G. Saffman
Manufacturer: Cambridge University Press
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Vorticity and Vortex Dynamics
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An Introduction to Fluid Dynamics
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Vorticity and Incompressible Flow
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Hydrodynamics
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Album of Fluid Motion
ASIN: 0521477395 |
Book Description
The discovery of coherent structures in turbulence has fostered the hope that the study of vortices will lead to models and an understanding of turbulent flow, thereby solving or at least making less mysterious one of the great unresolved problems of classical physics. Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. The emphasis in this monograph is on the classical theory of inviscid incompressible fluids containing finite regions of vorticity. The effects of viscosity, compressiblity, inhomogeneity, and stratification are enormously important in many fields of application, from hypersonic flight to global environmental fluid mechanics. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary. This book will be of interest to students of fluid mechanics, turbulence, and vortex methods as well as to applied mathematicians and engineers.
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Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems (Cambridge Engine Technology Series)
R. I. Lewis
Manufacturer: Cambridge University Press
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ASIN: 0521017548 |
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Panel methods employing surface distributions of source and vortex singularities based on the solution of boundary integral equations have been extensively used for modeling external and internal aerodynamic flows. Part 1 describes the surface vorticity method and illustrates applications of this technique over a wide range of engineering problems in aerodynamics and turbomachines, including lifting aerofoils and cascades, mixed-flow and rotating cascades for fans, pumps or turbines, meridional flows in turbomachines, flow past axisymmetric bodies, ducts and ducted propellers or fans. Part 2 extends surface vorticity modeling to the fairly new CFM field of vortex dynamics or vortex cloud theory. Methods are developed, again from first principles, to deal with shear layers, boundary layers, periodic wakes, bluff-body flows, cascades and aerofoils including the use of stall control spoilers. A number of useful computer programs are included.
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Vorticity and Vortex Dynamics
J.-Z. Wu ,
H.-Y. Ma , and
M.-D. Zhou
Manufacturer: Springer
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Vortex Dynamics (Cambridge Monographs on Mechanics)
ASIN: 3540290273 |
Product Description
This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamics process. This is followed by vortex dynamics dealing with the motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, translational, and turbulent flows, including stratified and rotational fluids. In another chapter vortical flow management is presented, such as diagnostics and control. Physical understanding of vortical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices.
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Vortex Methods: Theory and Applications
Georges-Henri Cottet , and
Petros D. Koumoutsakos
Manufacturer: Cambridge University Press
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ASIN: 0521621860 |
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Vortex methods have matured in recent years, offering an interesting alternative to finite difference and spectral methods for high resolution numerical solutions of the Navier Stokes equations. In the past three decades, research into the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character, which was the motivation for their introduction. This book presents and analyzes vortex methods as a tool for the direct numerical simulation of impressible viscous flows. It will interest graduate students and researchers in numerical analysis and fluid mechanics and also serve as an ideal textbook for courses in fluid dynamics.
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Quantized Vortex Dynamics and Superfluid Turbulence
Manufacturer: Springer
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ASIN: 3540422269 |
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This book is primarily concerned with turbulence in superfluid helium. Quantized vorticity has traditionally generated great interest among physicists, but there are now also important engineering applications such as liquid helium cooling of superconducting magnets. Presently much research is done on the relationship between superfluid turbulence and classical turbulence, as intense turbulence can be generated in liquid helium due to its small kinematic viscosity. There is also a close relationship between superfluid behaviour and quantized vorticity in liquid helium and in atomic Bose--Einstein condensates. Putting special emphasis on the interplay between the different disciplines involved, this readable account of recent research will appeal not only to established researchers but also to newcomers and graduate students wishing to enter the field.
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The N-Vortex Problem
Paul K. Newton
Manufacturer: Springer
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Vortex Dynamics (Cambridge Monographs on Mechanics)
ASIN: 0387952268 |
Book Description
This book is an introduction to current research on the N- vortex problem of fluid mechanics. Its goal is to describe the Hamiltonian aspects of vortex dynamics so that graduate students and researchers can use the book as an entry point into the rather large literature on integrable and non-integrable vortex problems within the broader context of dynamical systems. It is as self-contained as possible: the only training required of the reader is a good background in advanced calculus and ordinary and partial differential equations at the level of a typical undergraduate engineering, physics, or applied mathematics major. Exercises of varying difficulty are found at the end of each chapter which often require the reader to fill in details of proofs or complete examples.
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