Buch, Englisch, 356 Seiten, Print PDF, Format (B × H): 214 mm x 241 mm, Gewicht: 674 g
Relating Modern Theory to Advanced Engineering Applications
Buch, Englisch, 356 Seiten, Print PDF, Format (B × H): 214 mm x 241 mm, Gewicht: 674 g
ISBN: 978-0-19-853478-5
Verlag: Oxford University Press
The purpose of this book is to present a self contained introduction to the mathematical and physical aspects of the theory of water waves. The book is aimed at undergraduate and graduate levels for engineers, physical scientists and mathematicians. Each chapter is concluded with practical problems expressed as exercises and accompanied by ample references for further studies. The book consists of ten chapters arranged into three parts: Part I: Basic Fluid Mechanics and Solutions Techniques which cover chapters 1-3. Part II: Water Waves covering chapters 4-7. Part III Advanced Water Waves which covers chapters 8-10. Parts I and II are elementary in nature; whereas Part III is more advanced.
The first three chapters give the derivations of the fundamental mathematical equations. Chapter 2 outlines appropriate differential equations to describe the physical phenomena, and Chapter 3 reviews solution techniques of some simplified partial differential equations. Chapter 4 gives the developmental of wave equations, including the essential boundary conditons and describes small amplitude wave theory. Chapter 5 deals with finite amplitude wave theory and Chapter 6 outlines the study of tidal dynamics in shallow water. For random wave case, the deterministic methods described in previous chapters do not hold good. Therefore, chapter 7 is clearly devoted to wave statistics and wave energy spectrum. The application of wave theory is demonstrated in Chapter 8. Chapter 9 examines the nonlinear long waves in shallow water from a mathematical view point. The book concludes with Chapter 10 which illustrates the inverse scattering technique to solve solitary wave problem.
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Umwelttechnik | Umwelttechnologie Gesundheitsschutz und Kommunale Technologie
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
- Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
Weitere Infos & Material
- Part I: Basic Fluid Mechanics and Solution Techniques
- Introduction
- 1: Fundamental Equations of Motion of Fluids
- 2: Solution Techniques of Partial Differential Equations
- Part II: Water Waves
- 3: Theory of Surface Waves
- 4: Finite Amplitude Waves
- 5: One-Dimensional Tidal Dynamics
- 6: Wave Statistics and Spectral Method
- Part III: Advanced Water Waves
- 7: Wave Forces on Offshore Structures
- 8: Nonlinear Long Waves in Shallow Water
- 9: Inverse Scattering Transforms and the Theory of Solitons
- Subject Index
- Author Index
