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Author : Leslie Marie Wolff
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (211 download)
Download or read book Velocities of Small Amplitude Waves written by Leslie Marie Wolff and published by . This book was released on 1989 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Evgeniy Lokharu
Publisher : Linköping University Electronic Press
ISBN 13 : 9176855872
Total Pages : 33 pages
Book Rating : 4.1/5 (768 download)
Download or read book Small-amplitude steady water waves with vorticity written by Evgeniy Lokharu and published by Linköping University Electronic Press. This book was released on 2017-01-30 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of describing two-dimensional traveling water waves is considered. The water region is of finite depth and the interface between the region and the air is given by the graph of a function. We assume the flow to be incompressible and neglect the effects of surface tension. However we assume the flow to be rotational so that the vorticity distribution is a given function depending on the values of the stream function of the flow. The presence of vorticity increases the complexity of the problem and also leads to a wider class of solutions. First we study unidirectional waves with vorticity and verify the Benjamin-Lighthill conjecture for flows whose Bernoulli constant is close to the critical one. For this purpose it is shown that every wave, whose slope is bounded by a fixed constant, is either a Stokes or a solitary wave. It is proved that the whole set of these waves is uniquely parametrised (up to translation) by the flow force which varies between its values for the supercritical and subcritical shear flows of constant depth. We also study large-amplitude unidirectional waves for which we prove bounds for the free-surface profile and for Bernoulli’s constant. Second, we consider small-amplitude waves over flows with counter currents. Such flows admit layers, where the fluid flows in different directions. In this case we prove that the initial nonlinear free-boundary problem can be reduced to a finite-dimensional Hamiltonian system with a stable equilibrium point corresponding to a uniform stream. As an application of this result, we prove the existence of non-symmetric wave profiles. Furthermore, using a different method, we prove the existence of periodic waves with an arbitrary number of crests per period.
Author : American Association of Physics Teachers
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.3/5 (91 download)
Download or read book Small Amplitude Waves in Plasma written by American Association of Physics Teachers and published by . This book was released on 1969 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald F. Ott
Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.F/5 ( download)
Download or read book A Steady-state Simulation of Small Amplitude Wind-generated Waves written by Ronald F. Ott and published by . This book was released on 1968 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary purpose of this investigation was to extend and to improve the results of Zagustin, et al., on steady-state, experimental simulation of wind blowing over small amplitude waves. Experiments were performed in a laboratory open-channel flume in which a belt driven at a constant speed and following the shape of the wave reproduced the moving boundary conditions found at an air-water interface. Water was used as a working fluid. Two sets of new experimental results are presented. The first set was a rerun of the Zagustin experiments in which the moving belt formed one wall of the open channel. Emphasis was placed on increasing the scope and accuracy of the previous results. In the second set of experiments, a cover-plate was added to the open flume to minimize the free-surface disturbances. In both sets of experiments, a pitot-static probe was used to obtain velocity and pressure data. The measured velocity profiles in the flow above the wavy surface were used together with Miles' theory to obtain theoretical pressure distributions for the region near the wavy surface. These were compared to the experimental distributions. Within the limitations of the experimental model, the data verified Miles' inviscid mechanism of energy transfer from a shear-flow to pre-existing small amplitude waves. (Author).
Author : Robert L. Wiegel
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.3/5 (91 download)
Download or read book Gravity Waves written by Robert L. Wiegel and published by . This book was released on 1954 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Warren Whalin
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.3/5 (121 download)
Download or read book A Variational Approach to Nonlinear Wave Theory written by Robert Warren Whalin and published by . This book was released on 1976 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variational approach to nonlinear wave theory is explored by deriving the equations of motion for four small amplitude constant depth theories, two finite amplitude constant depth theories, and one small amplitude variable depth theory. It is determined that the rotational wave theories derived are more appealing than the irrotational theories. The characteristic relation is explored for the above theories and the effect of vertical velocity on wave reflection is investigated. Further numerical and experimental efforts are warranted to investigate the validity of the equations of motion for describing shallow water wave phenomena. Although the methodology used requires conservation of energy, the possibility exists that a variational approach might be derived for a nonconservative system (thus allowing frictional energy dissipation and energy loss by breaking).
Author : F. Ursell
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (359 download)
Download or read book Forced Small-amplitude Water Waves written by F. Ursell and published by . This book was released on 1958 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edmund V. Laitone
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (31 download)
Download or read book Higher Approximation to Nonlinear Water Waves and the Limiting Heights of Cnoidal, Solitary, and Stokes' Waves written by Edmund V. Laitone and published by . This book was released on 1963 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: To obtain the first and second approximations to solitary and cnoidal waves the shallow water expansion method of Friedrichs and Keller is carried out to the fourth order. It is shown that the rigorous first approximation to these amplitude waves of permanent form is identical to the solution first given by Korteweg and deVries in 1895. The second approximation however results in some new expressions for predicting the behavior of long waves in shallow water. Limiting amplitude is found to be 8/11 of the free water depth for the solitary wave. The third approximation to Stokes waves in water of finite depth is verified by the use of the classical small-perturbation expansion method. For finite amplitude waves the series expansion is found to be in terms of a parameter most suitable for wavelengths shorter than 8 times the depth. Rather severe restrictions inherent in the well-known analogy between the nonlinear shallow water flow and two-dimensional perfect gas flow are pointed out. (Author).
Author : Robert G Dean
Publisher : World Scientific Publishing Company
ISBN 13 : 9814365696
Total Pages : 369 pages
Book Rating : 4.8/5 (143 download)
Download or read book Water Wave Mechanics For Engineers And Scientists written by Robert G Dean and published by World Scientific Publishing Company. This book was released on 1991-01-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an introduction to classical water wave theory for the college senior or first year graduate student. The material is self-contained; almost all mathematical and engineering concepts are presented or derived in the text, thus making the book accessible to practicing engineers as well.The book commences with a review of fluid mechanics and basic vector concepts. The formulation and solution of the governing boundary value problem for small amplitude waves are developed and the kinematic and pressure fields for short and long waves are explored. The transformation of waves due to variations in depth and their interactions with structures are derived. Wavemaker theories and the statistics of ocean waves are reviewed. The application of the water particle motions and pressure fields are applied to the calculation of wave forces on small and large objects. Extension of the linear theory results to several nonlinear wave properties is presented. Each chapter concludes with a set of homework problems exercising and sometimes extending the material presented in the chapter. An appendix provides a description of nine experiments which can be performed, with little additional equipment, in most wave tank facilities.
Author : R. H. Multer
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.3/5 ( download)
Download or read book Measuring Directional Velocity in Water Waves with an Acoustic Flowmeter written by R. H. Multer and published by . This book was released on 1970 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Grimshaw
Publisher : WIT Press
ISBN 13 : 1845641574
Total Pages : 209 pages
Book Rating : 4.8/5 (456 download)
Download or read book Solitary Waves in Fluids written by R. Grimshaw and published by WIT Press. This book was released on 2007 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.
Author : Sir M. J. Lighthill
Publisher : Cambridge University Press
ISBN 13 : 9780521010450
Total Pages : 528 pages
Book Rating : 4.0/5 (14 download)
Download or read book Waves in Fluids written by Sir M. J. Lighthill and published by Cambridge University Press. This book was released on 2001-11-15 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : United States. Beach Erosion Board
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.F/5 ( download)
Download or read book A Summary of the Theory of Oscillatory Waves written by United States. Beach Erosion Board and published by . This book was released on 1942 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.G. Kulikovskii
Publisher : CRC Press
ISBN 13 : 1000443485
Total Pages : 256 pages
Book Rating : 4.0/5 (4 download)
Download or read book Nonlinear Waves in Elastic Media written by A.G. Kulikovskii and published by CRC Press. This book was released on 2021-06-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Waves in Elastic Media explores the theoretical results of one-dimensional nonlinear waves, including shock waves, in elastic media. It is the first book to provide an in-depth and comprehensive presentation of the nonlinear wave theory while taking anisotropy effects into account. The theory is completely worked out and draws on 15 years of research by the authors, one of whom also wrote the 1965 classic Magnetohydrodynamics. Nonlinear Waves in Elastic Media emphasizes the behavior of quasitransverse waves and analyzes arbitrary discontinuity disintegration problems, illustrating that the solution can be non-unique - a surprising result. The solution is shown to be especially interesting when anisotropy and nonlinearity effects interact, even in small-amplitude waves. In addition, the text contains an independent mathematical chapter describing general methods to study hyperbolic systems expressing the conservation laws. The theoretical results described in Nonlinear Waves in Elastic Media allow, for the first time, discovery and interpretation of many new peculiarities inherent to the general problem of discontinuous solutions and so provide a valuable resource for advanced students and researchers involved with continuum mechanics and partial differential equations.
Author : J. Billingham
Publisher : Cambridge University Press
ISBN 13 : 1316583910
Total Pages : 476 pages
Book Rating : 4.3/5 (165 download)
Download or read book Wave Motion written by J. Billingham and published by Cambridge University Press. This book was released on 2001-01-22 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.
Author : Jay Newman
Publisher : Springer Science & Business Media
ISBN 13 : 0387772588
Total Pages : 721 pages
Book Rating : 4.3/5 (877 download)
Download or read book Physics of the Life Sciences written by Jay Newman and published by Springer Science & Business Media. This book was released on 2008-10-09 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each chapter has three types of learning aides for students: open-ended questions, multiple-choice questions, and quantitative problems. There is an average of about 50 per chapter. There are also a number of worked examples in the chapters, averaging over 5 per chapter, and almost 600 photos and line drawings.
Author : Robert David Pierce
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (33 download)
Download or read book On the Nonlinear Evolution of Small Amplitude Free Surface Waves written by Robert David Pierce and published by . This book was released on 1993 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
