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. An introduction to classical water wave theory for college seniors or first-year graduate students.

Almost all the necessary mathematical and engineering concepts are either presented or derived in the text, making it also useful as a reference for practicing engineers. Acidic paper. Annotation copyright Book News, Inc. Convert currency. Add to Basket. Book Description World Scientific, Condition: New.

- Water wave mechanics for engineers and scientists in SearchWorks catalog.
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New Book. Delivered from our UK warehouse in 4 to 14 business days. Established seller since Since water can also be considered reasonably incompressible, a velocity potential and a stream function should exist for waves. To simplify the mathematical analysis, numerous other assumptions must and will be made as the development of the theory proceeds. Numerous classical Boundary conditions B.

Note: The number of boundary conditions required depends on the order of the differential equation. The formulation of a boundary value problem is simply the expression in mathematical terms of the physical situation such that a unique solution exists. This generally consists of first establishing a region of interest and specifying a differential equation that must be satisfied within the region see Figure 3. Often, there are an infinite number of solutions to the differen- tial equation and the remaining task is selecting the one or more solutions that are relevant to the physical problem under investigation.

This selection is effected through the boundary conditions, that is, rejecting those solutions that are not compatible with these conditions.

In addition to the spatial or geometric boundary conditions, there are temporal boundary conditions which specify the state of the variable of interest at some point in time. In the following development of linear water wave theory, it will be helpful to relate each major step to the general structure of boundary value problems discussed previously.

Figure 3.

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## SearchWorks Catalog

The Laplace equation occurs frequently in many fields of physics and engineering and numerous solutions to this equation exist see, e. In addition, for flows that are nondivergent and irrotational, the Laplace equation also applies to the stream function. 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.

## Water Wave Mechanics for Engineers and Scientists | NHBS Academic & Professional Books

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.

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