Download or read book Scattering and Radiation of Water Waves written by Jared L. Black and published by . This book was released on 1970 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems of scattering and radiation of water waves by rectangular or circular bodies are formulated within the framework of linearized potential theory. The objective is to find the far field wave amplitude due to radiation by a body oscillating in a prescribed manner or the disturbance caused by a body fixed in the path of an obliquely incident train of waves. The radiation results can be used in conjunction with Haskind's theorem to establish the forces (moment) an incident wave induces on a fixed body. Further, the radiation results are useful in establishing the damping coefficients associated with forced body oscillation. Specific results which are obtained are the complex reflection and transmission coefficients for two dimensional obstacles including the limiting cases of thin vertical barriers, thin surface strip, and submerged gap. Also the total and differential scattering cross-sections for vertical circular cylinders are presented. Radiated wave amplitudes are given for bodies oscillating in heave, sway, or roll, as well as the forces induced on fixed bodies by incident waves. Comparison with experimental and theoretical results by others is included. (Author).
Download or read book Radiation and Scattering of Water Waves by Rigid Bodies Part 2 Vertical Cylinders of Circular Cross Section written by Jared L. Black and published by . This book was released on 1971 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: Schwinger's variational technique and Haskind's theorem are applied to half cylinders of circular cross-section immersed vertically in water. Scattering and radiation amplitudes as well as wave forces are calculated. (Author).
Download or read book SCATTERING AND RADIATION PROBLEMS IN WATER WAVE written by Subhabrata Gangopadhyay and published by Subhabrata Gangopadhyay. This book was released on 2023-02-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering and radiation problems in water waves refer to the physical phenomena that occur when water waves encounter objects or boundaries, such as ships, shorelines, or underwater structures. When waves encounter these obstacles, they scatter and radiate, causing changes in the direction, amplitude, and frequency of the waves. One of the most important applications of scattering and radiation problems in water waves is in the study of coastal engineering and offshore structures. Understanding how waves interact with these structures is critical for designing and constructing coastal infrastructure, such as breakwaters, sea walls, and offshore oil rigs. By simulating the scattering and radiation of waves, engineers can design structures that can withstand the forces of the ocean and protect coastal communities from the damaging effects of waves. Scattering and radiation problems in water waves can also be used to study the behavior of marine ecosystems. Waves play a critical role in the transport of nutrients, sediments, and plankton, which are essential components of marine food webs. By studying how waves scatter and radiate around these materials, researchers can better understand how marine ecosystems function and respond to environmental changes. One of the most common methods for studying scattering and radiation problems in water waves is through mathematical modeling and simulation. These models use a combination of physical principles, such as fluid dynamics and wave theory, to predict how waves will interact with different types of obstacles and boundaries. By comparing the results of these simulations with experimental data, researchers can refine their models and improve their understanding of wave behavior. Overall, the study of scattering and radiation problems in water waves is critical for understanding the complex interactions between waves, structures, and marine ecosystems. By developing more accurate models and simulations, researchers can improve our ability to predict and manage the impacts of waves on coastal communities and marine environments. 'Fluid dynamics' is one of the most important parts of the recent interdisciplinary activities concerning engineering and science, especially in applied mathematics. Fluid dynamics or hydrodynamics is the branch of science which is concerned with the study of the motion of fluid or that of bodies in contact with fluids. Water waves are the undulatory motion of a water surface. The continuous transference of a particular state or form from one part of a medium to another with certain velocity of propagation without any displacement of the medium itself executes wave motion in the medium. Study of various types of wave problems in ocean constitutes an important branch of fluid dynamics as it enables us to understand various natural wave phenomena occurring on the ocean surface a well as inside the ocean. If we throw a stone in a pond we observe waves in the pond which start from the point of striking of the stone and spread in all directions. Such waver waves are also produced by pressure of wind upon the surface of water, by the relative motion of bodies like a ship moving in sea and by obstacles in the bed of the stream.
Download or read book Water Wave Scattering written by Birendra Nath Mandal and published by CRC Press. This book was released on 2015-05-21 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interes
Download or read book Water Wave Scattering by Barriers written by B. N. Mandal and published by Computational Mechanics. This book was released on 2000 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique volume the authors review the development of the subject, virtually from its inception. Details of much of the research work carded out in the linearized theory of water waves concerning problems of water wave scattering by barriers is incorporated.
Download or read book On the Initial Value Problems of Radiation and Scattering of Water Waves by Immersed Obstacles and Gravity Waves Due to a Point Disturbance in a Stratified Flow written by Chiang C. Mei and published by . This book was released on 1963 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: [I.] Some initial value problems are studied regarding the radiation and scattering of gravity waves by finite bodies in an infinitely deep ocean. Emphasis is placed on the case where a finite number of thin plates lie on a vertical line, for which the general solution is obtained by transforming the boundary value problem to one of the Riemann-Hilbert type. Explicit investigations are made for the large time behavior of the free surface elevation for the case of a rolling plate, and for the Cauchy-Poisson problems in the presence of a stationary plate. By taking the limit as t → ∞, the steady state solution is derived for a harmonic point pressure acting on the free surface near a vertical barrier. Finally a formal asymptotic representation of the free surface elevation is given for large time when the geometry of the submerged bodies is arbitrary.
Download or read book Radiation and Scattering of Water Waves by Rigid Bodies Part 1 General Aspects and Horizontal Rectangular Cylinders written by Jared L. Black and published by . This book was released on 1970 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Schwinger's variational formulation is applied to the radiation of surface waves due to small oscillation of bodies. By means of Haskind's theorem the wave forces on a stationary body due to a plane incident wave are found using only far field properties. Results for horizontal rectangular cylinders are presented. (Author).
Download or read book The radiation and scattering of short surface waves in water written by Graham Alker and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Water Wave Scattering written by Merlin Musial and published by . This book was released on 2017-03-16 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interest to ocean engineers. Unfortunately, even the apparently simple problems appear to be difficult to tackle mathematically unless some simplified assumptions are made. Fortunately, one can assume water to be an incompressible, in viscid and homogeneous fluid. The linearised theory of water waves is based on the assumption that the amplitude of the motion is small compared to the wave length. If rotational motion is assumed, then the linearised theory of water waves is essentially concerned with solving the Laplace equation in the water region together with linearised boundary condition. There are varied classes of problems that have been are being studied mathematically in the literature within the framework of linearised theory of water waves for last many years.
Download or read book Wave Scattering from Statistically Rough Surfaces written by F. G. Bass and published by Elsevier. This book was released on 2013-10-22 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Scattering from Statistically Rough Surfaces discusses the complications in radio physics and hydro-acoustics in relation to wave transmission under settings seen in nature. Some of the topics that are covered include radar and sonar, the effect of variations in topographic relief or ocean waves on the transmission of radio and sound waves, the reproduction of radio waves from the lower layers of the ionosphere, and the oscillations of signals within the earth-ionosphere waveguide. The book begins with some fundamental idea of wave transmission theory and the theory of random processes as used to rough surfaces and to wave fields. This discussion is followed by an analysis of the average fields of sound and electromagnetic waves. A section on spatial correlation characteristics in the approximation of small perturbations is then given. Another chapter of the text explains the Kirchhoff method. The book will provide useful information to physicists, mechanical engineer, students, and researchers in the field of acoustics.
Download or read book Scattering of Water Waves by Arrays of Arbitrary Bodies written by Malte A. Peter and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Water Wave Radiation and Scattering Solutions for Horizontal Floating Cylinders by Method of Matched Asymptotic Expansions written by Elena Lyn Dabbs and published by . This book was released on 2005 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Understanding Acoustics written by Steven L. Garrett and published by Springer. This book was released on 2017-02-24 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified approach to acoustics and vibration suitable for use in advanced undergraduate and first-year graduate courses on vibration and fluids. The book includes thorough treatment of vibration of harmonic oscillators, coupled oscillators, isotropic elasticity, and waves in solids including the use of resonance techniques for determination of elastic moduli. Drawing on 35 years of experience teaching introductory graduate acoustics at the Naval Postgraduate School and Penn State, the author presents a hydrodynamic approach to the acoustics of sound in fluids that provides a uniform methodology for analysis of lumped-element systems and wave propagation that can incorporate attenuation mechanisms and complex media. This view provides a consistent and reliable approach that can be extended with confidence to more complex fluids and future applications. Understanding Acoustics opens with a mathematical introduction that includes graphing and statistical uncertainty, followed by five chapters on vibration and elastic waves that provide important results and highlight modern applications while introducing analytical techniques that are revisited in the study of waves in fluids covered in Part II. A unified approach to waves in fluids (i.e., liquids and gases) is based on a mastery of the hydrodynamic equations. Part III demonstrates extensions of this view to nonlinear acoustics. Engaging and practical, this book is a must-read for graduate students in acoustics and vibration as well as active researchers interested in a novel approach to the material.
Download or read book Scattering and Localization of Classical Waves in Random Media written by Ping Sheng and published by World Scientific. This book was released on 1990 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.
Download or read book Wave Propagation and Scattering in Random Media written by Akira Ishimaru and published by Elsevier. This book was released on 2013-06-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Propagation and Scattering in Random Media, Volume 1: Single Scattering and Transport Theory presents the fundamental formulations of wave propagation and scattering in random media in a unified and systematic manner, as well as useful approximation techniques applicable to a variety of different situations. The emphasis is on single scattering theory and transport theory. The reader is introduced to the fundamental concepts and useful results of the statistical wave propagation theory. This volume is comprised of 13 chapters, organized around three themes: waves in random scatterers, waves in random continua, and rough surface scattering. The first part deals with the scattering and propagation of waves in a tenuous distribution of scatterers, using the single scattering theory and its slight extension to explain the fundamentals of wave fluctuations in random media without undue mathematical complexities. Many practical problems of wave propagation and scattering in the atmosphere, oceans, and other random media are discussed. The second part examines transport theory, also known as the theory of radiative transfer, and includes chapters on wave propagation in random particles, isotropic scattering, and the plane-parallel problem. This monograph is intended for engineers and scientists interested in optical, acoustic, and microwave propagation and scattering in atmospheres, oceans, and biological media.
Download or read book Back scattering of 3 21 CM Radiation by Water Bubbles written by Louis Joseph Battan and published by . This book was released on 1960 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculations were made of the back-scattering of 3.21-cm waves from water bubbles ranging in diameter, D, from 0.2 to 5.0 cm. Film thicknesses between 2 and 1000 microns were considered. As the diameter increases the back-scattering crosssection shows a gradual upward trend but sharp minima occur at intervals of D which are at integral values of 1/2 wave length. As the film thickness increases there is a general increase of the back-scattering cross-sections with the increase being most pronounced at small film thicknesses. Except at intervals of D close to 1/2 wave length, the back-scattering cross-sections of bubbles are higher than that from water spheres of the same mass. (Author).
Download or read book Note on the Scattering of Water Waves by a Vertical Barrier written by W. E. Williams and published by . This book was released on 1966 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt:
