Fluids And Waves

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Waves in Fluids

Author : Sir M. J. Lighthill,James Lighthill
Publisher : Cambridge University Press
Page : 528 pages
File Size : 40,5 Mb
Release : 2001-11-15
Category : Mathematics
ISBN : 0521010454

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Waves in Fluids by Sir M. J. Lighthill,James Lighthill Pdf

A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.

Fluid Waves

Author : Richard Manasseh
Publisher : CRC Press
Page : 312 pages
File Size : 41,9 Mb
Release : 2021-11-18
Category : Mathematics
ISBN : 9781000464788

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Fluid Waves by Richard Manasseh Pdf

The book derives the mathematical basis for the most encountered waves in science and engineering. It gives the basis to undertake calculations required for important occupations such as maritime engineering, climate science, urban noise control, and medical diagnostics. The book initiates with fluid dynamics basis with subsequent chapters covering surface gravity waves, sound waves, internal gravity waves and waves in rotating fluids, and details basic phenomena such as refraction. Thereafter, specialized application chapters include description of specific contemporary problems. All concepts are supported by narrative examples, illustrations, and case studies. Features:- Explains the basis of wave mechanics in fluid systems. Provides tools for the analysis of water waves, sound waves, internal gravity, and rotating fluid waves through different examples. Includes comprehensible mathematical derivations at the expense of fewer theoretical topics. Reviews cases describable by linear theory and cases requiring nonlinear and wave-interaction theories. Supports concepts with narrative examples, illustrations, and case studies. This book aims at Senior Undergraduates/Graduate students and Researchers in Fluid Mechanics, Applied Mathematics, Mechanical Engineering, Civil Engineering, and Physical Oceanography.

Solitary Waves in Fluids

Author : R. Grimshaw
Publisher : WIT Press
Page : 209 pages
File Size : 41,8 Mb
Release : 2007
Category : Science
ISBN : 9781845641573

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Solitary Waves in Fluids by R. Grimshaw Pdf

Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.

Wave and Stability in Fluids

Author : Din-Yu Hsieh,S. P. Ho
Publisher : World Scientific
Page : 432 pages
File Size : 50,5 Mb
Release : 1994
Category : Science
ISBN : 9810218702

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Wave and Stability in Fluids by Din-Yu Hsieh,S. P. Ho Pdf

This graduate level textbook covers the topics of sound waves, water waves and stability problems in fluids. It also touches upon the subject of chaos which is related to stability problems. It aims to lead students in an accessible and efficient way to this important subject area in fluid mechanics and applied mathematics. The emphasis is on gaining an understanding of the essential features of the subject matter, thus often ignoring complicating details which may confuse non-experts. The topics chosen also reflect the personal bias and research activity of the authors.

Wave Propagation in Electromagnetic Media

Author : Julian L. Davis
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461232841

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Wave Propagation in Electromagnetic Media by Julian L. Davis Pdf

This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro magnetic materials. Since these volumes were designed to be relatively self contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli cations to electromagnetic wave propagation under a variety of conditions.

Waves in Flows

Author : Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
Publisher : Springer Nature
Page : 263 pages
File Size : 49,9 Mb
Release : 2021-05-04
Category : Mathematics
ISBN : 9783030681449

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Waves in Flows by Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová Pdf

This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: Chemorepulsion Compressible Navier-Stokes systems Newtonian fluids Fluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involves fluid mechanics.

Wave Propagation in Fluids

Author : Vincent Guinot
Publisher : John Wiley & Sons
Page : 394 pages
File Size : 49,8 Mb
Release : 2012-12-27
Category : Science
ISBN : 9781118587638

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Wave Propagation in Fluids by Vincent Guinot Pdf

This second edition with four additional chapters presents the physical principles and solution techniques for transient propagation in fluid mechanics and hydraulics. The application domains vary including contaminant transport with or without sorption, the motion of immiscible hydrocarbons in aquifers, pipe transients, open channel and shallow water flow, and compressible gas dynamics. The mathematical formulation is covered from the angle of conservation laws, with an emphasis on multidimensional problems and discontinuous flows, such as steep fronts and shock waves. Finite difference-, finite volume- and finite element-based numerical methods (including discontinuous Galerkin techniques) are covered and applied to various physical fields. Additional chapters include the treatment of geometric source terms, as well as direct and adjoint sensitivity modeling for hyperbolic conservation laws. A concluding chapter is devoted to practical recommendations to the modeler. Application exercises with on-line solutions are proposed at the end of the chapters.

Wave Interactions and Fluid Flows

Author : Alex D. D. Craik
Publisher : Cambridge University Press
Page : 340 pages
File Size : 49,9 Mb
Release : 1988-07-07
Category : Mathematics
ISBN : 0521368294

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Wave Interactions and Fluid Flows by Alex D. D. Craik Pdf

This up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena covers fluids both at rest and in their shear flows. It includes, on the one hand, water waves, internal waves, and their evolution, interaction, and associated wave-driven means flow and, on the other hand, phenomena on nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. This study provide a particularly valuable bridge between these two similar, yet different, classes of phenomena. It will be of value to oceanographers, meteorologists, and those working in fluid mechanics, atmospheric and planetary physics, plasma physics, aeronautics, and geophysical and astrophysical fluid dynamics.

Waves in Geophysical Fluids

Author : John Grue,Karsten Trulsen
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 42,5 Mb
Release : 2007-08-03
Category : Technology & Engineering
ISBN : 9783211693568

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Waves in Geophysical Fluids by John Grue,Karsten Trulsen Pdf

This book describes the forecasting and risk evaluation of tsunamis by tectonic motion, land slides, explosions, run-up, and maps the tsunami sources in the world's oceans. It presents stochastic Monte-Carlo simulations and focusing mechanisms for rogue waves, nonlinear wave models, breather formulas, and the kinematics of the Draupner wave. Coverage also reveals the full story about the discovery of the very large oceanic internal waves.

Compressible Fluid Dynamics and Shock Waves

Author : Akihiro Sasoh
Publisher : Springer Nature
Page : 278 pages
File Size : 47,6 Mb
Release : 2020-01-02
Category : Science
ISBN : 9789811505041

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Compressible Fluid Dynamics and Shock Waves by Akihiro Sasoh Pdf

This book offers comprehensive coverage of compressible flow phenomena and their applications, and is intended for undergraduate/graduate students, practicing professionals, and researchers interested in the topic. Thanks to the clear explanations provided of a wide range of basic principles, the equations and formulas presented here can be understood with only a basic grasp of mathematics. The book particularly focuses on shock waves, offering a unique approach to the derivation of shock wave relations from conservation relations in fluids together with a contact surface, slip line or surface; in addition, the thrust of a rocket engine and that of an air-breathing engine are also formulated. Furthermore, the book covers important fundamentals of various aspects of physical fluid dynamics and engineering, including one-dimensional unsteady flows, and two-dimensional flows, in which oblique shock waves and Prandtl-Meyer expansion can be observed.

Inhomogeneous Waves in Solids and Fluids

Author : Giacomo Caviglia,Angelo Morro
Publisher : World Scientific
Page : 328 pages
File Size : 52,5 Mb
Release : 1992
Category : Science
ISBN : 9810208049

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Inhomogeneous Waves in Solids and Fluids by Giacomo Caviglia,Angelo Morro Pdf

The book may be viewed as an introduction to time-harmonic waves in dissipative bodies, notably viscoelastic solids and fluids. The inhomogeneity of the waves, which is due to the fact that planes of constant phase are not parallel to planes of constant amplitude, is shown to be strictly related to the dissipativity of the medium. A preliminary analysis is performed on the propagation of inhomogeneous waves in unbounded media and of reflection and refraction at plane interfaces. Then emphasis is given to those features that are of significance for applications. In essence, they regard surface waves, scattering by (curved) obstacles, wave propagation in layered heterogeneous media, and ray methods. The pertinent mathematical techniques are discussed so as to make the book reasonably self-contained.

Internal Gravity Waves

Author : Bruce Sutherland
Publisher : Cambridge University Press
Page : 395 pages
File Size : 51,6 Mb
Release : 2010-09-02
Category : Science
ISBN : 9780521839150

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Internal Gravity Waves by Bruce Sutherland Pdf

The first comprehensive treatment of the theory for small and large amplitude internal gravity waves, with illustrative examples and exercises.

Ray Methods for Nonlinear Waves in Fluids and Plasmas

Author : Marcelo Anile,P Pantano,G Russo,J Hunter
Publisher : John Wiley & Sons
Page : 268 pages
File Size : 54,9 Mb
Release : 1993-05-04
Category : Mathematics
ISBN : 0582023432

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Ray Methods for Nonlinear Waves in Fluids and Plasmas by Marcelo Anile,P Pantano,G Russo,J Hunter Pdf

Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.

Waves on Fluid Interfaces

Author : Richard E. Meyer
Publisher : Academic Press
Page : 370 pages
File Size : 48,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483265148

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Waves on Fluid Interfaces by Richard E. Meyer Pdf

Mathematics Research Center Symposium: Waves on Fluid Interfaces covers the proceedings of a symposium conducted by the Mathematics Research Center of the University of Wisconsin-Madison on October 18-20, 1982. The book focuses on nonlinear instabilities of classical interfaces, physical structure of real interfaces, and the challenges these reactions pose to the understanding of fluids. The selection first elaborates on finite-amplitude interfacial waves, instability of finite-amplitude interfacial waves, and finite-amplitude water waves with surface tension. Discussions focus on reformulation as an integro-differential equation, perturbation solutions, results for interfacial waves with current jump, wave of zero height, weakly nonlinear waves, and numerical methods. The text then takes a look at generalized vortex methods for free-surface flows; a review of solution methods for viscous flow in the presence of deformable boundaries; and existence criteria for fluid interfaces in the absence of gravity. The book ponders on the endothelial interface between tissue and blood, moving contact line, rupture of thin liquid films, film waves, and interfacial instabilities caused by air flow over a thin liquid layer. Topics include stability analysis of liquid film, interpretation of film instabilities, simple film, linear stability theory, inadequacy of the usual hydrodynamic model, and marcomolecule transport across the artery wall. The selection is a valuable source of data for researchers interested in the reactions of waves on fluid interfaces.

Analytical and Numerical Methods for Wave Propagation in Fluid Media

Author : K. Murawski
Publisher : World Scientific
Page : 260 pages
File Size : 52,8 Mb
Release : 2002
Category : Science
ISBN : 981277663X

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Analytical and Numerical Methods for Wave Propagation in Fluid Media by K. Murawski Pdf

This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.