Fluid Waves

Author : Richard Manasseh
Publisher : CRC Press
Page : 312 pages
File Size : 55,6 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.

Author : Sir M. J. Lighthill,James Lighthill
Publisher : Cambridge University Press
Page : 528 pages
File Size : 54,6 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.

Author : Din-Yu Hsieh,S. P. Ho
Publisher : World Scientific
Page : 432 pages
File Size : 46,7 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.

Author : Akihiro Sasoh
Publisher : Springer Nature
Page : 278 pages
File Size : 41,6 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.

Author : R. Grimshaw
Publisher : WIT Press
Page : 209 pages
File Size : 46,8 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.

Author : John Grue,Karsten Trulsen
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 55,9 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.

Author : Marcelo Anile,P Pantano,G Russo,J Hunter
Publisher : CRC Press
Page : 268 pages
File Size : 52,7 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781000447583

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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.

Author : Alex D. D. Craik
Publisher : Cambridge University Press
Page : 340 pages
File Size : 45,8 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.

Author : Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
Publisher : Springer Nature
Page : 263 pages
File Size : 43,8 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.

Author : D.G. Swanson
Publisher : Elsevier
Page : 437 pages
File Size : 44,6 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323141635

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Plasma Waves by D.G. Swanson Pdf

Plasma Waves discusses the basic development and equations for the many aspects of plasma waves. The book is organized into two major parts, examining both linear and nonlinear plasma waves in the eight chapters it encompasses. After briefly discussing the properties and applications of plasma wave, the book goes on examining the wave types in a cold, magnetized plasma and the general forms of the dispersion relation that characterize the waves and label the various types of solutions. Chapters 3 and 4 analyze the acoustic phenomena through the fluid model of plasma and the kinetic effects. These chapters also describe the averaging process for the fluid element motion using expanded Boltzmann equation for each species in a velocity moment expansion, truncating the expansion at some suitable level, depending on the particular problem. The remaining four chapters discuss the effects of adding sharp boundaries, slowly varying inhomogeneities, nonlinearities at several levels, and turbulent plasmas. Supplementary texts on complex variables and the special functions in plasma physics are provided in the concluding section of this text. The book is an advanced text for graduate students who have had an introductory plasma course at some level.

Author : Eryk Infeld,George Rowlands
Publisher : Cambridge University Press
Page : 416 pages
File Size : 42,6 Mb
Release : 2000-07-13
Category : Mathematics
ISBN : 0521635578

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Nonlinear Waves, Solitons and Chaos by Eryk Infeld,George Rowlands Pdf

The second edition of a highly successful book on nonlinear waves, solitons and chaos.

Author : Richard E. Meyer
Publisher : Academic Press
Page : 370 pages
File Size : 47,5 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.

Author : Frederick L. Paillet,Chuen Hon Cheng
Publisher : CRC Press
Page : 282 pages
File Size : 49,6 Mb
Release : 2023-07-14
Category : Science
ISBN : 9781000943306

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Acoustic Waves in Boreholes by Frederick L. Paillet,Chuen Hon Cheng Pdf

Introducing the first, self-contained reference on acoustic waveform logging Acoustic measurements in boreholes were first made as a specialized logging technique in geological exploration, but recent advances have greatly expanded the potential applications of this technique. Acoustic Waves in Boreholes provides a thorough review of the theory and interpretation techniques needed to realize these applications, emphasizing the role of guided modes and critically refracted waves in determining the characteristics of recorded waveforms. Topics covered in this comprehensive volume include the seismic properties of rocks; propagation of axisymmetric waves along fluid-filled boreholes in isotropic rocks; and symmetric and nonsymmetric sources in isotropic, transversely isotropic, and porous, permeable formations in open and cased boreholes. Each chapter includes the theory of synthetic microseismogram computation, interpretation and data inversion techniques illustrated using computed seismograms, and case histories using experimental data. Appendices providing the mathematical formulation needed to compute microseismograms, with a single consistent notation used throughout, are also included in appropriate chapters. The wide range of geomechanical properties covered in this book will interest exploration geophysicists, reservoir engineers, civil engineers, geologists, and soil scientists.

Author : Sir Horace Lamb
Publisher : Unknown
Page : 332 pages
File Size : 55,8 Mb
Release : 1879
Category : Hydrodynamics
ISBN : UOM:39015067081599

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A Treatise on the Mathematical Theory of the Motion of Fluids by Sir Horace Lamb Pdf

Author : Dale R. Durran
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 43,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475730814

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Numerical Methods for Wave Equations in Geophysical Fluid Dynamics by Dale R. Durran Pdf

Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.