Propagation Of Waves In Shear Flows

Propagation Of Waves In Shear Flows
Author: A L Fabrikant
Publisher: World Scientific
Total Pages: 305
Release: 1998-10-20
Genre: Science
ISBN: 981450128X

The state of the art in a theory of oscillatory and wave phenomena in hydrodynamical flows is presented in this book. A unified approach is used for waves of different physical origins. A characteristic feature of this approach is that hydrodynamical phenomena are considered in terms of physics; that is, the complement of the conventionally employed formal mathematical approach. Some physical concepts such as wave energy and momentum in a moving fluid are analysed, taking into account induced mean flow. The physical mechanisms responsible for hydrodynamic instability of shear flows are considered within the concept of negative energy waves. The phenomenon of over-reflection is analysed. A number of well-known theorems of the hydrodynamic theory of stability are interpreted in terms of the interaction of the waves having different energy signs. Attention is drawn to the plasma-hydrodynamic analogy, which is a powerful tool for physical analyses of general mechanisms of wave amplification and absorption in flows. Various wave-flow interaction problems are considered, for instance, sound generation in whistlers, wave scattering and amplification by vortices, methods of wave remote sounding, and some nonlinear dynamical and chaotic phenomena.The book is intended for researchers specializing in wave theory, aeroacoustics, geophysical and astrophysical fluid dynamics, and related fields. It may also be useful to graduate and post-graduate students as a supplement to standard lecture courses.

On the interactions of sound waves and vortices

On the interactions of sound waves and vortices
Author: César Legendre
Publisher: Lulu.com
Total Pages: 378
Release: 2015-03-17
Genre: Science
ISBN: 1326232851

The effects of vortical mean flows on the propagation of acoustic waves are numerous, from simple convection effects to instabilities in the acoustic phenomena, including absorption, reflection and refraction effects. Therefore, the role of vorticity in acoustic propagation besides noise generation has been a subject of controversial discussions since the foundation of aeroacoustics. In this work, a theoretical study with subsequent industrial applications has been performed, concerning the derivation of a family of scalar operators for aeroacoustics based in total enthalpy terms and including mean vorticity effects in the propagation.

IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity

IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity
Author: I. David Abrahams
Publisher: Springer Science & Business Media
Total Pages: 355
Release: 2013-03-14
Genre: Science
ISBN: 9401700877

These Conference Proceedings are intended to summarise the latest developments in diffraction and scattering theory as reported at the IU TAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity held in Manchester, England on 16-20 July 2000. This in formal meeting was organised to discuss mathematical advances, both from the theoretical and more applied points of view. However, its pri mary goal was to bring together groups of researchers working in dis parate application areas, but who nevertheless share common models, phenomenological features arising in such problems, and common math ematical tools. To this end, we were delighted to have four Plenary Speakers, Professors Allan Pierce, Ed Kerschen, Roger Grimshaw and John Willis FRS, who are undisputed leaders in the four thematic ar eas of our meeting (these are respectively acoustics, aeroacoustics, water or other free surface waves, elasticity). These Proceedings should offer an excellent vehicle for continuing the dialogue between these groups of researchers. The participants were invited because of their expertise and recent contributions to this field. Collectively, there were around 90 contrib utors to the Symposium from some 13 countries located all around the world. These included 45 speakers, 35 co-authors and about 10 other delegates. Individuals came from many of the major international cen tres of excellence in the field of scattering theory.