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Author: James Johnston Stoker Publisher: Courier Dover Publications ISBN: 0486839923 Category : Science Languages : en Pages : 593
Book Description
First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.
Author: James Johnston Stoker Publisher: Courier Dover Publications ISBN: 0486839923 Category : Science Languages : en Pages : 593
Book Description
First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.
Author: Chiang C. Mei Publisher: World Scientific ISBN: 9789971507893 Category : Science Languages : en Pages : 770
Book Description
The aim of this book is to present selected theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering, all from the deterministic point of view. The bulk of the material deals with the linearized theory.
Author: Robert Warren Whalin Publisher: ISBN: Category : Ocean waves Languages : en Pages : 184
Book Description
Reported here is an experimental investigation to assess the limits of applicability of linear wave refraction theory in a convergence zone. One bottom topography with parallel circular contours symmetric about the center of the tank was utilized and three wave periods (1, 2, and 3 sec) were tested along with three wave heights for each period. All tests were conducted for nonbreaking waves. Data were obtained at 100 locations within the model basin for each condition tested. The data were analyzed on the basic assumption that the total energy was equally partitioned between potential energy and kinetic energy. The basic computation performed was to calculate the potential energy transmitted per unit width over one wave period. Measurements of the reflected energy from the underwater topographic variations indicated that such reflections were negligible. This was verified by computations utilizing the long wave theory as well as a theory not requiring the long wave assumption. The theoretical computations indicated that the reflection coefficient was between 0.002 and 0.01 for the 3-sec waves, while the measured data indicated that it was between the scatter of the data (less than 0.02). A computation of the viscous dissipation of energy at the bottom indicated an amplitude attenuation of approximately 3 percent during propagation over the entire length of the measurement area. The experimental data indicated an amplitude attenuation of less than 5 percent due to the combined effects of reflection and bottom friction. ...
Author: Chiang C Mei Publisher: World Scientific Publishing Company ISBN: 9813147202 Category : Science Languages : en Pages : 1240
Book Description
This book set is a revised version of the 2005 edition of Theory and Applications 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 demonstrated. In this revised version, five chapters on recent developments in linear and nonlinear aspects have been added. The first is on detailed analyses in Wave/Structure Interactions. The second is a new section on Waves through a Marine Forest, a topic motivated by its possible relevance to tsunami reduction. The third is on Long Waves in Shallow Water and the fourth is an update on Broad-Banded Nonlinear Surface Waves in the Open Sea to include new findings in this topic. The fifth is an expanded chapter on Numerical Simulation of Nonlinear Wave Dynamics to include predictions of nonlinear spectral evolution and rogue wave occurrence and dynamics using large-scale phase-resolved simulations. This revised version also includes recent developments in precorrected-FFT accelerated O(N log N) low- and high-order boundary element methods for the computation of fully nonlinear wave-wave and wave-body interactions.Theory and Applications of Ocean Surface Waves (2016) 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: Chiang C. Mei Publisher: World Scientific ISBN: 9812561560 Category : Nonlinear waves Languages : en Pages : 540
Book Description
Presents theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering as well as coastal oceanography. It is intended for graduate students and researchers in coastal and ocean engineering, geophysical fluid dynamicists interested in water waves.
Author: Chiang C Mei Publisher: World Scientific Publishing Company ISBN: 981436570X Category : Technology & Engineering Languages : en Pages : 1135
Book Description
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 version, three chapters on recent developments have been added. The first is on multiple scattering by periodic or random bathymetry. The second is on Zakharov's theory of nonlinear wave fields with broad spectra. The third is an extensive discussion of powerful numerical techniques for highly nonlinear waves. Other new topics include 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: C.A. Truesdell Publisher: Springer Science & Business Media ISBN: 3642459447 Category : Science Languages : en Pages : 822
Book Description
Sect 2. 317 tinuity surfaces 1. This suggests that a wake pressure Pw be associated with each flow past a bluff body, and that a wake parameter (2. 4) which plays the same role as the cavitation parameter (2. 1), be defined for the flow. This idea has been made the basis of a modified wake theory (ef. Sect. 11) which proves to be in good qu- titative agreement with pressure and drag measurements. It should be emphasized, however, that un h like the cavitation number, the wake parameter is a quantity which is not known a priori, and must be empirically determined in each case. (3) Jet flows. The problem of jet efflux from an orifice is one of the oldest in hydrodynamics and the first to be treated by Fig. 3a. the HELMHOLTZ free streamline theory. Of particular importance for engineering applications is the discharge coefficient Cd' which is defined in terms of the discharge Q per unit time, the pressure P, and the cross-sectional area A of the orifice, by the formula, (2. 5) where e is the fluid density. Two methods of measuring Cd have been most fre quently adopted. In the first the liquid issues from an orifice in a large vessel under the influence of gravity _,-____________ . , (Fig. 3 a), while in the second it 1 L is forced out of a nozzle or pipe under high pressure (Fig. 3 b).
Author: James Johnston Stoker
Author: James Johnston Stoker
Author: Chiang C. Mei
Author: Robert Warren Whalin
Author: Chiang C Mei
Author: Chiang C. Mei
Author: U.S. Army Engineer Waterways Experiment Station
Author: Chiang C Mei
Author: C.A. Truesdell
Author: U.S. Army Engineer Waterways Experiment Station
Author: