23. Water Particle Displacement
The chapter discusses the kinematic parameters of wave motion, including water particle displacement and the relationship between horizontal and vertical displacements in different water depths. It highlights the conditions under which water particles move in elliptical or circular orbits and explores their respective mathematical representations in shallow and deep water scenarios. Notably, the chapter introduces a specific dispersion relationship used for further research and applications in hydraulic engineering.
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What we have learnt
- Water particle displacement can be expressed in terms of horizontal and vertical components.
- In shallow water, water particles describe elliptical orbits, while in deep water, their trajectories become circular.
- The derived equations can be used to model fluid particle behavior under various conditions.
Key Concepts
- -- Velocity Potential
- A function from which the velocity fields of a flow can be derived.
- -- Water Particle Displacement
- The movement of water particles described mathematically in relation to wave parameters.
- -- Orbital Motion
- The path traced by water particles which can be elliptical in shallow water and circular in deep water.
- -- Dispersion Relationship
- A mathematical relationship used to describe wave characteristics in fluids, specifically influenced by water depth.
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