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Author : Michael M Carroll
Publisher :
ISBN 13 : 9781461303305
Total Pages : 388 pages
Book Rating : 4.3/5 (33 download)
Download or read book Nonlinear Effects in Fluids and Solids written by Michael M Carroll and published by . This book was released on 1996-05-31 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael M. Carroll
Publisher : Springer Science & Business Media
ISBN 13 : 146130329X
Total Pages : 372 pages
Book Rating : 4.4/5 (613 download)
Download or read book Nonlinear Effects in Fluids and Solids written by Michael M. Carroll and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of scientific papers is dedicated with gratitude and esteem to Ronald Rivlin and is offered as a token of appreciation by former students, col laborators, and friends. Ronald Rivlin's name is synonymous with modem developments in contin uum mechanics. His outstanding pioneering theoretical and experimental re ·search in finite elasticity is a landmark. From his work there has followed a spate of developments in which he played the leading role-the theory of fiber-rein forced materials, the developments of the theory of constitutive equations, the theory of materials with memory, the theory of the fracture of elastomers, the theory of viscoelastic fluids and solids, the development of nonlinear crystal physics, the theory of small deformations superimposed on large, and the effect of large initial strain on wave propagation. It is in Rivlin's work that universal relations were first recognized. Here also are to be found lucid explanations of physical phenomena such as the Poynting effect for elastic rods in torsion. Addi tionally, he and his co-workers predicted the presence of secondary flows for viscoelastic fluids in straight pipes of noncircular cross section under a uniform pressure head. While some others may have displayed a cavalier lack of concern for physical reality and an intoxication with mathematical idiom, Rivlin has al ways been concerned with genuine mathematical and physical content. All of his papers contain interesting and illuminating material-and may be read with profit by anyone interested in continuum mechanics.
Author : A. Jeffrey
Publisher : Springer
ISBN 13 : 3709124441
Total Pages : 385 pages
Book Rating : 4.7/5 (91 download)
Download or read book Nonlinear Waves in Solids written by A. Jeffrey and published by Springer. This book was released on 2014-05-04 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Travelling wave processes and wave motion are of great importance in many areas of mechanics, and nonlinearity also plays a decisive role there. The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects. Apart from plasticity and fracture mechanics, nonlinear elastic waves have been shown to be of great importance in many areas, such as the study of impact, nondestructive testing and seismology. These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and in the process offer an up to date account of the current state of research in the theory and practice of nonlinear waves in solids.
Author : Harry Thomas
Publisher : Springer Science & Business Media
ISBN 13 : 3642956505
Total Pages : 249 pages
Book Rating : 4.6/5 (429 download)
Download or read book Nonlinear Dynamics in Solids written by Harry Thomas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the notes of lectures given at the school on "Nonlinear Dy namics in Solids" held at the Physikzentrum Bad Honnef, 2-6 October 1989 under the patronage of the Deutsche Physikalische Gesellschaft. Nonlinear dynamics has become a highly active research area, owing to many interesting developments during the last three decades in the theoretical analysis of dynamical processes in both Hamiltonian and dissipative systems. Research has been focused on a variety of problems, such as the characteristics of regular and chaotic motion in Hamiltonian dynamics, the problem of quantum chaos, the forma tion and properties of solitary spatio-temporal structures, the occurrence of strange attractors in dissipative systems, and the bifurcation scenarios leading to complex time behaviour. Until recently, predictions of the theory have been tested predominantly on insta bilities in hydrodynamic systems, where many interesting experiments have provided valuable input and have led to a fruitful interaction between experiment and theory. Fluid systems are certainly good candidates for performing clean experiments free from disturbing influences: with fluids, compared to solids, it is simpler to prepare good samples, the relevant length and time scales are in easily accessible ranges, and it is possible to do measurements "inside" the fluid, because it can be filled in after the construction of the apparatus. Further, the theory describing the macroscopic dynamics of fluids is well established and contains only very few parameters, all of which have well-known values.
Author : D. S. Drumheller
Publisher : Cambridge University Press
ISBN 13 : 9780521587464
Total Pages : 546 pages
Book Rating : 4.5/5 (874 download)
Download or read book Introduction to Wave Propagation in Nonlinear Fluids and Solids written by D. S. Drumheller and published by Cambridge University Press. This book was released on 1998-02-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models. It covers gases, liquids, and solids as integral parts of the subject. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Graduate students, as well as professional engineers and applied physicists, will value this clear, comprehensive introduction to the study of wave phenomena.
Author : Rozmus W
Publisher : #N/A
ISBN 13 : 9814569798
Total Pages : 640 pages
Book Rating : 4.8/5 (145 download)
Download or read book Nonlinear And Chaotic Phenomena In Plasmas, Solids And Fluids - Proceedings Of The Conference written by Rozmus W and published by #N/A. This book was released on 1991-07-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Cordero
Publisher : Elsevier
ISBN 13 : 0444598790
Total Pages : 495 pages
Book Rating : 4.4/5 (445 download)
Download or read book Nonlinear Phenomena in Fluids, Solids and other Complex Systems written by P. Cordero and published by Elsevier. This book was released on 2012-12-02 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains short courses in current topics in nonlinear physics given by distinguished professionals in their fields. These include: nonlinear fluid dynamics, transition to turbulence, quantum hall effect, cellular automata and neural networks, phase transitions. These courses are up to date and are aimed at a wide audience, in particular to graduate students and researchers in the field of nonlinear physics.
Author : Roger Grimshaw
Publisher : Springer Science & Business Media
ISBN 13 : 3211380256
Total Pages : 202 pages
Book Rating : 4.2/5 (113 download)
Download or read book Nonlinear Waves in Fluids: Recent Advances and Modern Applications written by Roger Grimshaw and published by Springer Science & Business Media. This book was released on 2007-03-23 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although nonlinear waves occur in nearly all branches of physics and engi neering, there is an amazing degree of agreement about the fundamental con cepts and the basic paradigms. The underlying unity of the theory for linearized waves is already well-established, with the importance of such universal concepts as group velocity and wave superposition. For nonlinear waves the last few decades have seen the emergence of analogous unifying comcepts. The pervasiveness of the soliton concept is amply demonstrated by the ubiquity of such models as the Korteweg-de Vries equation and the nonlinear Schrodinger equation. Similarly, there is a universality in the study of wave-wave interactions, whether determin istic or statistical, and in the recent developments in the theory of wave-mean flow interactions. The aim of this text is to present the basic paradigms of weakly nonlinear waves in fluids. This book is the outcome of a CISM Summer School held at Udine from September 20-24, 2004. . Like the lectures given there the text covers asymptotic methods for the derivation of canonical evolution equations, such as the Kortew- de Vries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applica tions. These themes are interlocked, and this will be demonstrated throughout the text . The topics address any fluid flow application, but there is a bias towards geophysical fluid dynamics, reflecting for the most part the areas where many applications have been found.
Author : Oluwole Daniel Makinde
Publisher : Trans Tech Publications Ltd
ISBN 13 : 3035732825
Total Pages : 220 pages
Book Rating : 4.0/5 (357 download)
Download or read book Advances in Nonlinear Heat Transfer in Fluids and Solids written by Oluwole Daniel Makinde and published by Trans Tech Publications Ltd. This book was released on 2017-08-31 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The special issue on Advances in Nonlinear Heat Transfer in Fluids and Solids of the journal Diffusion Foundations present a number of novel computational modelling of various nonlinear heat transfer in solids and fluid flow problems. Reported articles in this special issue cover solids thermal stability, reactive fluid flow, nanofluids dynamics, magnetohydrodynamics, Newtonian and non-Newtonian fluid flow, natural convection, forced convection, mixed convection, porous media flow and thermal radiation absorption effects. We hope that this special issue will inspire and benefit eclectic audience of academics, researchers and engineers from numerous fields of human endeavours.
Author : Julian L. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1461238862
Total Pages : 396 pages
Book Rating : 4.4/5 (612 download)
Download or read book Wave Propagation in Solids and Fluids written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.
Author :
Publisher :
ISBN 13 :
Total Pages : 625 pages
Book Rating : 4.:/5 (229 download)
Download or read book Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids written by and published by . This book was released on 1991 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Kluwick
Publisher : Springer Science & Business Media
ISBN 13 : 9783211822777
Total Pages : 350 pages
Book Rating : 4.8/5 (227 download)
Download or read book Nonlinear Waves in Real Fluids written by A. Kluwick and published by Springer Science & Business Media. This book was released on 1991-06-03 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of materials which exhibit new and unconventional properties is of central importance for the devel- opment of advanced and refined technologies in many fields of engineering science. In this connection there has been a rapidly growing interest in real fluid effects on wave phenomena in the past few years. A prominent example is provided by Bethe-Zel'dovich-Thompson (BZT) fluids which have the distinguishing feature that they exhibit negative nonlinearity over a finite range of temperature and pressures in the pure vapour phase. However, two phase flows with and without phase change are an even richer source of new unexpected and previously thought impossible phenomena. Topics covered by this volume include waves in gases near the critical point, waves in retrograde fluids, temperature waves in superfluid helium and density waves in suspensions of particles in liquids. Clearly, the aim of the various contributions is twofold. First, they are intended to provide scientists and engineers working in these and related areas with an overview of various new physical phenomena as for example expansion shocks, sonic shocks, shock splitting, evaporation and liquafaction shocks and the experimental techniques needed to study these phenomena. Second, an attempt is made to discuss aspects of their mathematical modeling with special emphasis on properties which these phenomena have in common.
Author : Frank Smith
Publisher : World Scientific
ISBN 13 : 1786340283
Total Pages : 226 pages
Book Rating : 4.7/5 (863 download)
Download or read book Fluid And Solid Mechanics written by Frank Smith and published by World Scientific. This book was released on 2016-03-22 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book leads readers from a basic foundation to an advanced-level understanding of fluid and solid mechanics. Perfect for graduate or PhD mathematical-science students looking for help in understanding the fundamentals of the topic, it also explores more specific areas such as multi-deck theory, time-mean turbulent shear flows, non-linear free surface flows, and internal fluid dynamics.Fluid and Solid Mechanics is the second volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.
Author : Richard W. Johnson
Publisher : CRC Press
ISBN 13 : 9780849325090
Total Pages : 1962 pages
Book Rating : 4.3/5 (25 download)
Download or read book Handbook of Fluid Dynamics written by Richard W. Johnson and published by CRC Press. This book was released on 1998-05-28 with total page 1962 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides professionals in the field of fluid dynamics with a comprehensive guide and resource. The book balances three traditional areas of fluid mechanics - theoretical, computational, and experimental - and expounds on basic science and engineering techniques. Each chapter introduces a topic, discusses the primary issues related to this subject, outlines approaches taken by experts, and supplies references for further information. Topics discussed include: basic engineering fluid dynamics classical fluid dynamics turbulence modeling reacting flows multiphase flows flow and porous media high Reynolds number asymptotic theories finite difference method finite volume method finite element method spectral element methods for incompressible flows experimental methods, such as hot-wire anemometry, laser-Doppler velocimetry, and flow visualization applications, such as axial-flow compressor and fan aerodynamics, turbomachinery, airfoils and wings, atmospheric flows, and mesoscale oceanic flows The text enables experts in particular areas to become familiar with useful information from outside their specialization, providing a broad reference for the significant areas within fluid dynamics.
Author : A.I. Leonov
Publisher : Springer
ISBN 13 : 0412582007
Total Pages : 475 pages
Book Rating : 4.4/5 (125 download)
Download or read book Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids written by A.I. Leonov and published by Springer. This book was released on 1994-04-30 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents theoretical and experimental studies of flows of elastic liquids. Falling into this category are particularly the melts and concentrated solutions of such flexible-chain polymers as polyethylene, polyisobutylene and polypropylene, all of which are widely used in polymer processing. These polydisperse polymers vary greatly, from batch to batch, in their mechanical properties and 20% variation in a property is believed to be good enough. l 7 All recent books - devoted to the rheology of polymers do not answer the question of which constitutive equations should be used for solving the fluid mechanic problems of polymer processing in the usual case of an appreciable nonlinear region of deformation where nonlinear effects of shear and extensional elasticity are very important. Viscoelastic constitut ive equations cited commonly (see, e.g. Refs 5 and 6) do not describe simultaneously even the simplest cases of deformations, viz. simple shear and uniaxial extension. Moreover, some of them are internally inconsist ent and sometimes display highly unstable behaviour in simple flows without any fundamental reasons. Even more respected molecular ap free from these defects.
Author : Franz Ziegler
Publisher : Springer Science & Business Media
ISBN 13 : 9780387943992
Total Pages : 882 pages
Book Rating : 4.9/5 (439 download)
Download or read book Mechanics of Solids and Fluids written by Franz Ziegler and published by Springer Science & Business Media. This book was released on 1995 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for courses on fluid and solid mechanics, continuum mechanics, and strength of materials, this title offers a presentation of the theories and practical principles common to various branches of solid and fluid mechanics.
Author : Robert G. Deissler
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (31 download)
Download or read book Nonlinear Decay of a Disturbance in an Unbounded Viscous Fluid written by Robert G. Deissler and published by . This book was released on 1968 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
