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Download or read book Long-wave Dynamics of Single- and Two-layer Flows written by and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oliver Bühler
Publisher : Cambridge University Press
ISBN 13 : 1139480715
Total Pages : 362 pages
Book Rating : 4.1/5 (394 download)
Download or read book Waves and Mean Flows written by Oliver Bühler and published by Cambridge University Press. This book was released on 2009-08-20 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactions between waves and mean flows play a crucial role in understanding the long-term aspects of atmospheric and oceanographic modelling. Indeed, our ability to predict climate change hinges on our ability to model waves accurately. This book gives a modern account of the nonlinear interactions between waves and mean flows such as shear flows and vortices. A detailed account of the theory of linear dispersive waves in moving media is followed by a thorough introduction to classical wave–mean interaction theory. The author then extends the scope of the classical theory and lifts its restriction to zonally symmetric mean flows. The book is a fundamental reference for graduate students and researchers in fluid mechanics, and can be used as a text for advanced courses; it will also be appreciated by geophysicists and physicists who need an introduction to this important area in fundamental fluid dynamics and atmosphere-ocean science.
Author : O. M. Phillips
Publisher : Springer Science & Business Media
ISBN 13 : 1468489801
Total Pages : 677 pages
Book Rating : 4.4/5 (684 download)
Download or read book Wave Dynamics and Radio Probing of the Ocean Surface written by O. M. Phillips and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1960, Dr. George Deacon ofthe National Institute ofOceanography in England organized a meeting in Easton, Maryland that summarized the state of our understanding at that time of ocean wave statistics and dynamics. It was a pivotal occasion: spectral techniques for wave measurement were beginning to be used, wave-wave interactions hadjust been discovered, and simple models for the growth of waves by wind were being developed. The meeting laid the foundation for much work that was to follow, but one could hardly have imagined the extent to which new techniques of measurement, particularly by remote sensing, new methods of calculation and computation, and new theoretical and laboratory results would, in the following twenty years, build on this base. When Gaspar Valenzuela of the V. S. Naval Research Laboratory perceived that the time was right for a second such meeting, it was natural that Sir George Deacon would be invited to serve as honorary chairman for the meeting, and the entire waves community was delighted at his acceptance. The present volume contains reviewed and edited papers given at this second meeting, held this time in Miami, Florida, May 13-20, 1981, with the generous support of the Office of Naval Research, the National Aeronautics and Space Administration, and the National Oceanic and Atmospheric Administration.
Author : Patrick Lynett
Publisher : World Scientific
ISBN 13 : 9814474673
Total Pages : 314 pages
Book Rating : 4.8/5 (144 download)
Download or read book Nonlinear Wave Dynamics: Selected Papers Of The Symposium Held In Honor Of Philip L-f Liu's 60th Birthday written by Patrick Lynett and published by World Scientific. This book was released on 2009-02-04 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: In September 2006, research leaders in the field of coastal engineering, fluid mechanics, and wave theory met at Cornell University to celebrate the 60th birthday of Prof. Philip L-F Liu. This volume is a compilation of the research papers presented at the symposium, and includes both review and new research papers. Topics such as nonlinear wave theory, tsunamis, wave-structure interaction, turbulence, and modeling of complex sediment transport are discussed in this volume. All of the contributing authors are research collaborators of Prof. Liu, and include leaders in coastal engineering such as Maarten Dingemans, Hwung-Hweng Hwung, Nobu Kobayashi, Inigo Losada, Hocine Oumeraci, Costas Synolakis, and Harry Yeh.
Author : A. Favre
Publisher : Springer Science & Business Media
ISBN 13 : 1461298067
Total Pages : 666 pages
Book Rating : 4.4/5 (612 download)
Download or read book Turbulent Fluxes Through the Sea Surface, Wave Dynamics, and Prediction written by A. Favre and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: A primary aim of the NATO Science Committee since its estab lishment in 1958 has been to· further international scientific co operation among scientists from the member countries of the Alliance. Almost all fields of basic science have received sub stantial support for the purposes of enhancing exchange of inform ation, providing opportunities for advanced instruction and collaborative research. Up to 1977, more than 10,000 fellowships have been awarded to allow scientists to complete their scientific education in another country and more than 1,500 joint research projects involving scientists in at least two different countries per project have been financed by the Committee. In addition, more than 800 advanced study institutes have been held under NATO auspices which have allowed more than sixty thousand scientists to get together to hear leading scientists lecture on advanced research topics on the frontier of research of many disciplines and to discuss the most recent results of their research activi ties. The Science Committee also identifies specific areas as deserving special encouragement or preferential support for limited periods. A variety of mechanisms - research grants, study visits, conferences, etc. - is utilized to stimulate greater international activity. This effort is embodied in several individual programmes, each guided by a special programme panel of internationally eminent experts. Air-sea interaction is one of these programmes.
Author : Chiang C. Mei
Publisher : World Scientific
ISBN 13 : 9812561587
Total Pages : 595 pages
Book Rating : 4.8/5 (125 download)
Download or read book Theory and Applications of Ocean Surface Waves: Nonlinear aspects written by Chiang C. Mei and published by World Scientific. This book was released on 2005 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of The Applied Dynamics of Ocean Surface Waves. It presents theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering as well as coastal oceanography. Advanced analytical and numerical techniques are applied, such as singular perturbations. In this expanded edition, two chapters on recent developments have been added: one is on multiple scattering by periodic or random bathymetry, and the other is on Zakharov's theory of broad spectrum wave fields. New sections include topics on infragravity waves, upstream solitons, Venice storm gates, etc. In addition, there are many new exercises. Theory and Applications of Ocean Surface Waves will be invaluable for graduate students and researchers in coastal and ocean engineering, geophysical fluid dynamicists interested in water waves, and theoretical scientists and applied mathematicians wishing to develop new techniques for challenging problems or to apply techniques existing elsewhere.
Author : Daniel D. Joseph
Publisher : Springer Science & Business Media
ISBN 13 : 1461570611
Total Pages : 478 pages
Book Rating : 4.4/5 (615 download)
Download or read book Fundamentals of Two-Fluid Dynamics written by Daniel D. Joseph and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-fluid dynamics is a challenging subject rich in physics and prac tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential positioning and shaping of the interface, so that interfacial stability is a major player in this drama. Typically, solutions of equations governing the dynamics of two fluids are not uniquely determined by the boundary data and different configurations of flow are compatible with the same data. This is one reason why stability studies are important; we need to know which of the possible solutions are stable to predict what might be observed. When we started our studies in the early 1980's, it was not at all evident that stability theory could actu ally work in the hostile environment of pervasive nonuniqueness. We were pleasantly surprised, even astounded, by the extent to which it does work. There are many simple solutions, called basic flows, which are never stable, but we may always compute growth rates and determine the wavelength and frequency of the unstable mode which grows the fastest. This proce dure appears to work well even in deeply nonlinear regimes where linear theory is not strictly valid, just as Lord Rayleigh showed long ago in his calculation of the size of drops resulting from capillary-induced pinch-off of an inviscid jet.
Author : Alex D. D. Craik
Publisher :
ISBN 13 : 9780521267403
Total Pages : 322 pages
Book Rating : 4.2/5 (674 download)
Download or read book Wave Interactions and Fluid Flows written by Alex D. D. Craik and published by . This book was released on 1985 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Interactions and Fluid Flows is a coherent, up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena, both in fluids at rest and in shear flows. On the one hand, this includes water waves, internal waves, their evolution and interaction and associated wave-driven mean flows; on the other, phenomena of nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. Close similarities - and crucial differences - exist between these two classes of phenomena and their treatment in this single study provides a particularly valuable bridge between more specialised, but related, disciplines. As a result, this unique book will appeal to researchers and graduate students of fluid mechanics in its widest sense, including the study of wave-interaction phenomena in such diverse fields as meteorology, aeronautical and hydraulic engineering, optics, solar physics and population dynamics. Dr Craik is an active researcher of long-standing at the University of St Andrews and has wide experience in the field of fluid mechanics.
Author : Roger Grimshaw
Publisher : Springer Science & Business Media
ISBN 13 : 0306480247
Total Pages : 286 pages
Book Rating : 4.3/5 (64 download)
Download or read book Environmental Stratified Flows written by Roger Grimshaw and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of flows in density-stratified fluids has been and remains now an important topic for scientific enquiry. Such flows arise in many contexts, ranging from industrial settings to the oceanic and atmospheric environments. It is the latter topic which is the focus of this book. Both the ocean and atmosphere are characterised by the basic vertical density stratification, and this feature can affect the dynamics on all scales ranging from the micro-scale to the planetary scale. The aim of this book is to provide a “state-of-the-art” account of stratified flows as they are relevant to the ocean and atmosphere with a primary focus on meso-scale phenomena; that is, on phenomena whose time and space scales are such that the density stratification is a dominant effect, so that frictional and diffusive effects on the one hand and the effects of the earth’s rotation on the other hand can be regarded as of less importance. This in turn leads to an emphasis on internal waves.
Author :
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (684 download)
Download or read book Dispersive Internal Long Wave Models written by and published by . This book was released on 1998 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the final report of a three-year, Laboratory Directed Research and Development (LDRD) project at Los Alamos National Laboratory (LANL). This work is a joint analytical and numerical study of internal dispersive water wave propagation in a stratified two-layer fluid, a problem that has important geophysical fluid dynamics applications. Two-layer models can capture the main density-dependent effects because they can support, unlike homogeneous fluid models, the observed large amplitude internal wave motion at the interface between layers. The authors have derived new model equations using multiscale asymptotics in combination with the method they have developed for vertically averaging velocity and vorticity fields across fluid layers within the original Euler equations. The authors have found new exact conservation laws for layer-mean vorticity that have exact counterparts in the models. With this approach, they have derived a class of equations that retain the full nonlinearity of the original Euler equations while preserving the simplicity of known weakly nonlinear models, thus providing the theoretical foundation for experimental results so far unexplained.
Author : Bayu Prihandono
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (127 download)
Download or read book Linear Analysis of the Steady Water Waves Flow Over an Obstacle in the Single and Multi-layer Model written by Bayu Prihandono and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this work is to study a problem modelling steady water-waves generated by an obstacle in an N-layer fluid. As in the classical one-layer Neumann-Kelvin problem, our model is a linearized version of the steady-free surface multi-layer Euler equations around a rest state, where we end-up with an elliptic problem involving interface conditions. We start by considering the Neuman-Kelvin problem treating a single-layer flow over an obstacle lying on the physical domain's bottom. We investigate the problem both by the variational and Fourier method. We distinguish between the subcritical and supercritical cases, meaning when the flow prescribed velocity upstream at infinity is less or larger than the wave velocity. Numerical simulations illustrate the subcritical and supercritical cases. The wave resistance is also computed, and waveless obstacles are obtained in the subcritical case. Chapter 2 generalizes our result from the single-layer case by considering the velocity at upstream infinity as varying, more precisely as a simple step function. As we explain later on, the interest of this case is that it represents the first step into the treatment, at least numerically, of the nonlinear problem. This context allows the flow to present certain zones where it is supercritical and others where it is subcritical. We call this case a transcritical flow. As in the single-layer, the treatment of the supercritical regime is immediate, as the variational solution is smoother than just ”finite energy” and is hence the unique solution to the initial problem. However, the case of a transcritical flow needs handling with more care, and we consider here only one of the two possible transcritical situations. The variational solution obtained in the transcritical case will not be a solution to the initial problem since it fails to satisfy the harmonicity condition. The regularization procedure needs to be carried out to correct the variational solution and obtain the original problem's solution. In Chapter 3, we study a stratified layer case by considering a two-layer flow with rigid lid approximation at the free surface. We treat the problem both by the variational and Fourier transform method. Using the variational method, we can prove the existence and the uniqueness of the solution. The Fourier method allows us to explicitly determine the variational and the wake part of the solution. We also prove that in the presence of a rigid lid, when the upper layer's density is zero, the interface between the layers behaves precisely as the free surface for the one-layer case and this result will also be recovered in a more general setting in the next section. Numerical simulations complete these results. Finally in Chapter 4, we concentrate on developing a qualitative theory for multi-layered fluids. We first establish a general theory that could apply to various stationary linear models when the Fourier method is used. Thus, studying different possible cases related to the existence and multiplicity of real roots for the dispersion relation gives a general treatment for the problem. We then apply this theory to the N-layer case with rigid lid and obtain the exact solution for each layer. We also consider the three-layer case with rigid lid, when the density of the upper layer is zero, and we compare the solution at the interfaces with the two-layer case with the free surface. Numerical simulations for the two-layer case with free surface illustrate the fluid dynamics for each layer, for the cases when the dispersion relation presents no roots, only one real root or two distinct real roots. For the cases when the dispersion relation presents one or two real roots, and thus the solution is oscillating downstream, we can also construct wakeless obstacles.
Author : V. Artale
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (131 download)
Download or read book Internal Waves in a Two-layer Shear Flow written by V. Artale and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Navid Tahvildari
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (812 download)
Download or read book Nonlinear Interactions Between Longs Waves in a Two-layer Fluid written by Navid Tahvildari and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonlinear interactions between long surface waves and interfacial waves in a two-layer fluid are studied theoretically. The fluid is density-stratified and the thicknesses of the top and bottom layers are both assumed to be shallow relative to the length of a typical surface wave and interfacial wave, respectively. A set of Boussinesq-type equations are derived for potential flow in this system. The equations are then analyzed for the dynamics of the nonlinear resonant interactions between a monochromatic surface wave and two oblique interfacial waves. The analysis uses a second order perturbation approach. Consequently, a set of coupled transient evolution equations of wave amplitudes is derived. Moreover, the effect of weak viscosity of the lower layer is incorporated in the problem and the influences of important parameters on surface and interfacial wave evolution (namely the directional angle of interfacial waves, density ratio of the layers, thickness of the fluid layers, surface wave frequency, surface wave amplitude, and lower layer viscosity) are investigated. The results of the parametric study are discussed and are generally in qualitative agreement with previous studies. In shallow water, a triad formed of surface waves (or interfacial waves) can be considered in near-resonant interaction. In contrast to the previous studies which limited the study to a triad (one surface wave and two interfacial waves or one interfacial and two surface waves), the problem is generalized by considering the nonlinear interactions between a triad of surface waves and three oblique pairs of interfacial waves. In this system, each surface wave is in near-resonance interaction with other surface waves and in exact resonance with a pair of oblique interfacial waves. Similarly, each interfacial wave is in near-resonance interaction with other interfacial waves which are propagating in the same direction. Inclusion of all the interactions considerably changes the pattern of evolution of waves and highlights the necessity of accounting for several wave harmonics. Effects of density ratio, depth ratio, and surface wave frequency on the evolution of waves are discussed. Finally, a formulation is derived for spatial evolution of one surface wave spectrum in nonlinear interaction with two oblique interfacial wave spectra. The two-layer Boussinesq-type equations are treated in frequency domain to study the nonlinear interactions of time-harmonic waves. Based on weakly two-dimensional propagation of each wave train, a parabolic approximation is applied to derive the formulation.
Author : P. Ruby Mawasha
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.:/5 (396 download)
Download or read book A Study of Nonlinear Dynamics of Single-and Two-phase Flow Oscillations written by P. Ruby Mawasha and published by . This book was released on 1998 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L. C. van Rijn
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.:/5 (318 download)
Download or read book Principles of Fluid Flow and Surface Waves in Rivers, Estuaries, Seas and Oceans written by L. C. van Rijn and published by . This book was released on 1990 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects a one-year lecture course of fluid flow and surface waves for physical geographers of the University of Utrecht in the Netherlands. The book deals essentially with the basic principles of fluid mechanics in rivers, estuaries, seas and oceans.
Author : Peter G. Baines
Publisher : Cambridge University Press
ISBN 13 : 9780521629232
Total Pages : 508 pages
Book Rating : 4.6/5 (292 download)
Download or read book Topographic Effects in Stratified Flows written by Peter G. Baines and published by Cambridge University Press. This book was released on 1998 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: With an emphasis on both theory and experiment, this text describes the behaviour of homogeneous and density-stratified fluids over and around topography. In examining the similarities between the flow of a river over a barrier or weir and the flow of the atmosphere over a mountain range, this book presents a comprehensive synthesis of this topic in terms suitable for scientists, engineers, teachers and students of fluid dynamics. With this book, Professor Baines makes a notable contribution to the fields of fluid mechanics and geophysical fluid dynamics. The text will be a great asset to graduate and advanced undergraduate students, as well as to research professionals.
Author : Hamid Ait Abderrahmane
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (462 download)
Download or read book Two Cases of Symmetry Breaking of Free Surface Flows written by Hamid Ait Abderrahmane and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present thesis consists of two parts; both are devoted to two celebrated old problems in fluid dynamics. The first deals with symmetry breaking in a liquid layer flowing down an inclined plane. The second problem concerns the equilibrium and symmetry breaking of interfacial polygonal patterns generated by a system of vortices arranged on a circular ring. The first problem dates back to Nusselt (1916) who obtained the solution for the basic flow. Since then, thin layers of liquid falling down inclined plane continues to be the subject of extensive studies for both their practical applications and theoretical value. In this thesis, the problem is approached analytically. Three new mathematical models are proposed. The first two involve three and four equations respectively. These produce linear stability results that agree fairly with past experimental outcomes and results obtained with similar models. For a deeper and qualitative analysis a lower dimension model that retains the physics is needed. Hence, a two-equation model (involving only two fundamental flow parameters namely the film thickness and flow rate) is derived. The new model taking account of the shear stress at the free surface is shown to be superior to the existing two-equation model of Usha and Uma in Phys Fluid (2004). The influence of electrical and magnetic fields on the stability of falling film of an electrically conductor fluid is also investigated. In comparison with the model of Korsunsky ( Eur.J.F.M.1999 ) for higher Reynolds numbers. The proposed model takes account of the inertia terms, which are of second order with respect to a small parameter namely the long wave parameter. As shown through the chapter four of the part one, the proposed two-equation model improves significantly Korsunsky's model. The second problem dates back to Kelvin (1867) who hypothesized atoms to be point vortices arranged in circular ring forming symmetrical polygonal patterns. Although, the atomic vortex model is long abandoned, the problem of system of point vortices has become of great interest in superfluidity and by analogy in plasma physics. Moreover, polygonal patterns, which are the signature of the presence of vortices, equally distributed in) rings were also observed in several engineering problems and geophysical flows in nature. In fluid dynamics, polygonal patterns become clearly visible in swirling flows where the vortex core is hollow. The empty core can eventually support polygonal shapes (up to hexagonal). The first experimental report on the phenomenon was by Vatistas in 1990. In this thesis the phenomenon is revisited using image-processing technique that allows a deeper and more precise investigation. The dynamics of the patterns is investigated and for the first time the transition from one pattern to another is explored in detail. The stability condition for a system of point vortices on circular ring derived first by J.J Thomson (1897) and generalized later by Havelock (1931) for N point vortices including the influence of circular boundaries surrounding the equilibrium is confirmed. Frequency locking between the pattern and the disk frequencies which are suspected in the previous experiments is established and quantified. Moreover, the transition from the elliptical to the hexagonal pattern is found that it follows a "devil's staircase" scenario. Due to the similarity between the problem under the scope and other fields of physics, the present experimental results are anticipated to go beyond the field of fluid mechanics.
