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Analytical methods in marine hydrodynamics /
This book unifies the most important geometries used to develop analytical solutions for hydrodynamic boundary value problems.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2018.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Dedication; Title page; Copyright information; Table of contents; Foreword; Preface; Note on symbols and notations; 1 Description of the Flow; 1.1 The Laplace Domain; 1.2 The Transport Theorem; 1.3 Shear Stresses in Fluid Particles: The Eulerian Approach; 1.4 Mass Conservation and Momentum Conservation; 1.5 The Equation of Continuity; 1.6 Euler Equations; 1.7 Stress Relations in a Newtonian Fluid; 1.8 The Navier-Stokes Equations; 1.9 Inviscid, Incompressible Fluid and Irrotational Flow: The Velocity Potential; 1.9.1 Inviscid, Incompressible.
- 1.9.2 Irrotational Flow: The Velocity Potential1.9.3 The Unsteady Bernoulli Equation; 1.10 Free-Surface Flow in the Laplace Domain; 1.11 Free-Surface Kinematics; 1.12 The Taylor Expansion of the Free Surface; 1.13 Expansion in Perturbations; 1.14 Diffraction and Radiation Potentials at the Leading Order; 1.15 The Incident Wave Potential; 1.15.1 Leading Order Problem; 1.15.2 Second-Order Problem; 1.15.3 Third-Order Problem; 1.16 The Far-Field Radiation Condition; 1.17 Hydrodynamic Loading; 1.18 Added Mass and Hydrodynamic Damping Coefficients; 1.19 The Green's Theorem.
- 2 Linear Hydrodynamics of Circular Cylinders2.1 Transformation of the Laplace Equation into Polar Coordinates: Polar Harmonics; 2.2 The Incident Wave Potential Expressed in Polar Harmonics; 2.2.1 Infinite Water Depth; 2.2.2 Finite Water Depth; 2.3 The Diffraction Potential; 2.4 The Cylinder McCamy and Fuchs; 2.5 Water-Wave Diffraction by a Truncated Cylinder; 2.5.1 The Matched Eigenfunction Expansions Technique; 2.5.2 The Velocity Potentials; 2.6 Water-Wave Diffraction by a "Hollow" Truncated Cylinder; 2.7 Water-Wave Diffraction by a Bottom-Seated, Compound, Circular Cylinder.
- 2.8 Radiation of Circular Cylinders2.8.1 Brief Background; 2.8.2 Heaving, Surface Piercing, Truncated Cylinder; 2.8.3 Surging-Swaying, Surface Piercing, Truncated Cylinder; 2.8.4 Negative Added-Mass Coefficients; 2.8.5 Heaving, Bottom-Seated, Truncated Cylinder; 2.8.6 Surging, Bottom-Seated, Truncated Cylinder; 2.9 Multiple Hydrodynamically Interacting Circular Cylinders; 2.9.1 Methods of Solution; 2.9.2 Addition Theorems of Bessel Functions; 2.9.3 The "Direct" Method Applied for Multiple Hydrodynamically Interacting Circular Cylinders; 2.9.4 The Method of "Multiple Scattering."
- 2.10 Trapped Modes by Arrays of Multiple Hydrodynamically Interacting Circular Cylinders2.10.1 Wave Trapping; 2.10.2 Trapping by Long Arrays of Cylinders; 2.10.3 Maniar-Newman Interaction Theory for Long Arrays of Cylinders; 2.11 Wave-Current-Structure Interaction at Low Froude Numbers; 2.11.1 The Problem; 2.11.2 Formulation of the Problem; 2.11.3 Perturbations with Respect to the Normalized Velocity ; 2.11.4 Hydrodynamic Loading; 2.11.5 The Perturbation Potential ; 3 Higher-Order Phenomena for Circular Cylinders; 3.1 Introduction; 3.2 The Second-Order Diffraction Problem.