Scattering and Radiation of Water Waves PDF Download

Author: Jared L. Black
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 248

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Book Description
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).

Author: Jared L. Black
Publisher:
ISBN:
Category :
Languages : en
Pages : 33

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Book Description
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).

Author: Subhabrata Gangopadhyay
Publisher: Subhabrata Gangopadhyay
ISBN: 9788600480958
Category :
Languages : en
Pages : 0

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Book Description
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.

Author: Birendra Nath Mandal
Publisher: CRC Press
ISBN: 1498705537
Category : Mathematics
Languages : en
Pages : 375

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Book Description
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

Author: B. N. Mandal
Publisher: Computational Mechanics
ISBN:
Category : Science
Languages : en
Pages : 414

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Book Description
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.

Author: Chiang C. Mei
Publisher:
ISBN:
Category : Gravity waves
Languages : en
Pages : 256

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Book Description
[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.

Author: Jared L. Black
Publisher:
ISBN:
Category :
Languages : en
Pages : 30

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Book Description
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).

Author: Graham Alker
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description

Author: Merlin Musial
Publisher:
ISBN: 9781974390571
Category :
Languages : en
Pages : 374

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Book Description
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.

Author: F. G. Bass
Publisher: Elsevier
ISBN: 1483187756
Category : Science
Languages : en
Pages : 541

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Book Description
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.