Hydraulic Engineering - Vol 2 | 14. Introduction to Open Channel Flow and Uniform Flow (Contd.,) by Abraham | Learn Smarter
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14. Introduction to Open Channel Flow and Uniform Flow (Contd.,)

The chapter delves into the principles of open channel flow and uniform flow, focusing on the derivation of wave speed equations for surface solitary waves. It explores the application of continuity and momentum equations, highlighting the relationship between wave speed, fluid depth, and gravitational acceleration. Key findings include the definition of Froude number and the distinction between subcritical and supercritical flows, as well as the effects of wave amplitude on wave speed.

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Sections

  • 1

    Hydraulic Engineering

    This section explores the dynamics of open channel flow, focusing on the equations governing the motion of surface solitary waves.

  • 2

    Introduction To Open Channel Flow And Uniform Flow (Contd.,)

    This section elaborates on the concepts of open channel flow, specifically focusing on the derivation and implications of wave speed in relation to depth and flow characteristics.

  • 2.1

    Application Of Equation Of Momentum

    This section focuses on the application of the equation of momentum in hydraulic engineering, specifically concerning the speed of solitary waves in open channels.

  • 2.2

    Change In Momentum

    This section discusses the application of continuity and momentum principles in hydraulic engineering, specifically in the context of wave speed in open channels.

  • 2.3

    Assumptions Of Small Amplitude Wave Theory

    This section discusses the derivation and implications of the small amplitude wave theory in hydraulic engineering, focusing on the relationship between wave speed, water depth, and gravitational acceleration.

  • 2.4

    Derived Equation Of Wave Speed

    This section covers the derivation and significance of the wave speed equation in hydraulic engineering, focusing on surface solitary waves.

  • 2.5

    Energy Balance Approach

    The energy balance approach facilitates the analysis of surface solitary waves in open channel flow, demonstrating how wave speed can be derived from energy and continuity equations.

  • 2.6

    Froude Number Effect On Solitary Waves

    This section explores how the Froude number affects solitary wave behavior in open channels, particularly emphasizing the relationship between wave speed, fluid velocity, and water depth.

  • 2.7

    Equations For Finite Size Solitary Waves

    This section covers the derivation and significance of equations related to finite size solitary waves in hydraulic engineering, particularly their speed and factors affecting wave dynamics.

  • 2.8

    Linear Wave Theory

    This section explores Linear Wave Theory, detailing the derivation of wave speed equations and their dependence on fluid depth in open channels.

  • 2.9

    Questions And Conclusion

    This section wraps up the hydraulic engineering lecture by presenting questions based on small amplitude wave theory, flow classification, and minimum speed of waves to not travel upstream.

References

29.pdf

Class Notes

Memorization

What we have learnt

  • The wave speed of small amp...
  • The Froude number is used t...
  • In finite size solitary wav...

Final Test

Revision Tests