Geotechnical Engineering - Vol 1 | 12. One-dimensional Flow by Abraham | Learn Smarter
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12. One-dimensional Flow

One-dimensional flow and two-dimensional flow principles are discussed, emphasizing the Laplace Equation and flow nets' graphical representation. Key concepts such as equipotential lines and hydraulic gradients are introduced, detailing implications for seepage calculations and flow channels through embankments. Additionally, advantages of using curvilinear 'squares' for flow net sketches are highlighted in optimizing flow rate calculations.

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Sections

  • 1

    One-Dimensional Flow

    This section covers the fundamentals of one-dimensional flow, highlighting the application of the Laplace Equation and the characteristics of head dissipation in permeameters.

    Learning Practice

  • 1.1

    Laplace Equation

    The Laplace Equation describes the behavior of fluid flow in various scenarios, emphasizing boundary conditions and graphical representations.

    Learning Practice

  • 1.2

    Constant Determination

    This section discusses the principles of one-dimensional and two-dimensional flow using the Laplace equation and flow nets.

    Learning Practice

  • 1.3

    Specific Solution For Flow

    This section discusses specific solutions for one-dimensional and two-dimensional flow using the Laplace equation.

    Learning Practice

  • 2

    Two-Dimensional Flow

    Two-dimensional flow involves the graphical representation of seepage through flow nets using equipotential and flow lines.

    Learning Practice

  • 2.1

    Flow Nets

    Flow nets are graphical representations used to solve the Laplace equation in two-dimensional seepage, illustrating flow lines and equipotential lines.

    Learning Practice

  • 2.2

    Calculation Of Flow In A Channel

    This section discusses the calculation of flow in a channel based on hydraulic principles, including the interpretation of flow nets and the relationship between hydraulic gradients and flow rate.

    Learning Practice

  • 2.3

    Flow Rate Through Flow Channel

    This section discusses the calculation of flow rates through flow channels using the Laplace Equation and flow nets for both one-dimensional and two-dimensional seepage.

    Learning

  • 2.4

    Calculation Of Total Flow

    This section discusses the calculation of total flow in permeameters using the Laplace equation and flow nets.

    Learning Practice

References

12.pdf

Class Notes

Memorization

What we have learnt

  • The Laplace Equation provid...
  • Two-dimensional flow is rep...
  • Fluid mechanics concepts li...

Final Test

Revision Tests