Hydraulic Engineering - Vol 3 | 23. Water Particle Displacement by Abraham | Learn Smarter
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Knowledge
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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Sections

  • 1

    Water Particle Displacement

    This section covers the water particle displacement in fluid dynamics, detailing the equations governing horizontal and vertical displacements.

    Learning Practice

  • 1.1

    Kinematic Parameters

    This section discusses the kinematic parameters of wave motion, including water particle displacement in progressive waves and their behavior in different water depths.

    Learning Practice

  • 1.2

    Expression Of Particle Displacement

    This section discusses the mathematical expressions for water particle displacement in wave motion, analyzing horizontal and vertical components based on wave kinematics.

    Learning Practice

  • 1.3

    Equation Of Elliptical Orbits

    This section explores the equations governing the trajectories of water particles in elliptical orbits, particularly distinguishing between shallow and deep water conditions.

    Learning Practice

  • 1.4

    Analyzing Displacement In Shallow Water

    This section discusses water particle displacement in shallow and deep water, detailing the mathematical representations of their movements.

    Learning Practice

  • 1.5

    Deep Water Conditions

    This section covers the behavior of water particles in deep water conditions, emphasizing velocity potentials, particle displacement, and the shape of trajectories.

    Learning Practice

  • 1.6

    Particle Trajectories In Deep Water

    This section explores the dynamics of water particle trajectories in deep water, illustrating how they move in circular orbits and the mathematical expressions defining these movements.

    Learning Practice

  • 1.7

    Dispersion Relationship

    This section explains the dispersion relationship in fluid mechanics, focusing on water particle displacement, with emphasis on the differences between shallow and deep water conditions.

    Learning Practice

  • 2

    Conclusion Of The Module

    The conclusion summarizes the core topics of wave mechanics, focusing on water particle displacement and its behavior in different water depths.

    Learning Practice

References

62b.pdf

Class Notes

Memorization

What we have learnt

  • Water particle displacement...
  • In shallow water, water par...
  • The derived equations can b...

Final Test

Revision Tests