| Description |
1 online resource (310 pages) |
| Contents |
Cover; Half-title; Title page; Copyright information; Table of contents; List of Symbols; Preface; 1 Basic Equations for Long Waves; 1.1 Approach; 1.2 Schematization of the Cross Section; 1.3 Mass Balance; 1.4 Equations of Motion; 1.4.1 Euler Equations; 1.4.2 Flow Resistance; 1.4.3 Momentum Balance; 1.5 Summary of the Long-Wave Equations; Problems; 2 Classification and Analysis of Long Waves; 2.1 Types of Long Waves; 2.1.1 Translatory Waves; 2.1.2 Tsunamis; 2.1.3 Seiches; 2.1.4 Tides; 2.1.5 Flood Waves in Rivers; 2.2 A Condition for the Long-Wave Approximation; 2.3 Estimation of Terms |
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2.3.1 Advective Acceleration Term2.3.2 Resistance Term; 2.4 Solution Methods; 2.4.1 Complete Equations; 2.4.2 Simplified Equations; Problems; 3 Elementary Wave Equation; 3.1 Simple Wave; 3.1.1 Propagation; 3.1.2 Balance Equations; Volume Balance; Momentum Balance; 3.2 Elementary Wave Equation; 3.2.1 Derivation; 3.2.2 General Solution; 3.2.3 Total Derivative; 3.3 Relation between Discharge and Free-Surface Elevation in a Progressive Wave; 3.4 Solution for Arbitrary Initial Conditions; 3.5 Boundary Conditions; 3.6 Periodic Progressive and Standing Waves; 3.6.1 Infinitely Long Canal |
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3.6.2 Semi-Infinitely Long Canal with a Closed End3.6.3 Closed Basin; 3.6.4 Semi-Closed Basin Connected to a Reservoir or Tideless Sea; 3.6.5 Semi-Closed Basin Connected to a Tidal Sea; Problems; 4 Translatory Waves; 4.1 Introduction; 4.2 Low Translatory Waves in Uniform Channels; 4.3 Propagation in Non-Uniform Canals; 4.3.1 Rapidly Varying Cross Section; 4.3.2 Gradually Varying Cross Section; 4.4 Damping of Translatory Waves; 4.5 High Translatory Waves; 4.5.1 Wave Deformation; 4.5.2 Tidal Bores; 4.5.3 Bore Propagation; 4.6 Field Observations; 4.6.1 Observations in the Twenthekanaal; Layout |
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Primary WavePropagation and Reflection; Damping; 4.6.2 Observations in the Approach Canal to the Lanaye Lock; Problems; 5 Method of Characteristics; 5.1 Introduction; 5.2 Mathematical Formulation; 5.3 Principle of Application; 5.3.1 General Procedure; 5.3.2 Characteristics; 5.3.3 Boundary Conditions; Subcritical Flow; Supercritical Flow; Transcritical Flow; 5.3.4 External Forces; 5.4 Graphical Solution Procedure; 5.4.1 Initial Value Problem; 5.4.2 Inclusion of the Boundary Conditions; Boundary Types; Absorbing Boundaries; 5.5 Simple Wave; 5.5.1 General Solution; 5.5.2 Expansion Wave |
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5.5.3 Compression WaveProblems; 6 Tidal Basins; 6.1 Introduction; 6.2 Mathematical Formulation; 6.2.1 Motion in the Basin; 6.2.2 Motion in the Channel; Rigid Column Approximation; Momentum Equation; 6.2.3 Coupled System; 6.3 Linearization of the Quadratic Resistance; 6.4 System with Discrete Storage and Resistance; 6.4.1 Governing Equation; 6.4.2 Nonhomogeneous Solution; 6.4.3 Explicit Solution; 6.5 System with Discrete Storage, Resistance and Inertia; 6.6 Solution through Complex Algebra; 6.6.1 Complex Representation; 6.6.2 Solution; Problems; 7 Harmonic Wave Propagation; 7.1 Introduction |
| Summary |
Practitioners in water engineering rely on a thorough understanding of shallow water flows in order to safeguard our habitat, while at the same time sustaining the water environment. This book proposes a unified theoretical framework for the different types of shallow flow, providing a coherent approach to interpret the behaviour of such flows, and highlighting the similarities and differences. Every major topic in the book is accompanied by worked examples illustrating the theoretical concepts. Practical examples, showcasing inspiring research and engineering applications from the past and present, provide insight into how the theory developed. The book is also supplemented by a range of online resources, available at www.cambridge.org/battjes, including problem sets and computer codes. A solutions manual is available for instructors. This book is intended for students and professionals working in environmental water systems, in areas such as coasts, rivers, harbours, drainage, and irrigation canals |
| Notes |
7.2 Complex Representation of Damped Progressive Harmonic Waves |
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Print version record |
| Subject |
Unsteady flow (Fluid dynamics) -- Mathematical models
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Open-channel flow -- Mathematical models
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Water waves -- Mathematical models
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Wave equation.
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Fluid mechanics -- Mathematical models
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Fluid mechanics -- Mathematical models
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Unsteady flow (Fluid dynamics) -- Mathematical models
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Water waves -- Mathematical models
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Wave equation
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| Form |
Electronic book
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| Author |
Labeur, Robert Jan
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| ISBN |
9781316576878 |
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1316576876 |
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9781107150294 |
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1107150299 |
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