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

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

12. One-dimensional Flow

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.

9 sections

Enroll to start learning

You've not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Sections

Navigate through the learning materials and practice exercises.

  1. 1
    One-Dimensional Flow

    This section covers the fundamentals of one-dimensional flow, highlighting...

  2. 1.1
    Laplace Equation

    The Laplace Equation describes the behavior of fluid flow in various...

  3. 1.2
    Constant Determination

    This section discusses the principles of one-dimensional and two-dimensional...

  4. 1.3
    Specific Solution For Flow

    This section discusses specific solutions for one-dimensional and...

  5. 2
    Two-Dimensional Flow

    Two-dimensional flow involves the graphical representation of seepage...

  6. 2.1

    Flow nets are graphical representations used to solve the Laplace equation...

  7. 2.2
    Calculation Of Flow In A Channel

    This section discusses the calculation of flow in a channel based on...

  8. 2.3
    Flow Rate Through Flow Channel

    This section discusses the calculation of flow rates through flow channels...

  9. 2.4
    Calculation Of Total Flow

    This section discusses the calculation of total flow in permeameters using...

What we have learnt

  • The Laplace Equation provides fundamental insights into one-dimensional flow solutions.
  • Two-dimensional flow is represented graphically with flow nets consisting of equipotential and flow lines.
  • Fluid mechanics concepts like hydraulic gradient and permeability are essential for analyzing seepage and flow rate.

Key Concepts

-- Laplace Equation
A second-order partial differential equation which describes the relationship between functions and their spatial coordinates.
-- Flow Nets
Graphical representation of seepage where equipotential and flow lines help in determining fluid flow paths.
-- Equipotential Lines
Lines that connect points of equal head, essential for analyzing groundwater and seepage.

Additional Learning Materials

Supplementary resources to enhance your learning experience.