13. Basics of fluid mechanics-II (contd.) - Hydraulic Engineering - Vol 1
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13. Basics of fluid mechanics-II (contd.)

13. Basics of fluid mechanics-II (contd.)

The chapter delves into the fundamentals of fluid dynamics, notably Bernoulli's equation, discussing its derivation and application along a streamline. It highlights the critical assumptions for using Bernoulli’s equation, such as frictionless and steady flow, and includes various applications like the stagnation tube and pitot tube. Moreover, it emphasizes the concepts of hydraulic grade line and energy grade line, laying a groundwork for understanding flow dynamics in civil engineering contexts.

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Sections

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  1. 1
    Hydraulic Engineering

    This section introduces the basics of hydraulic engineering, focusing on...

  2. 1.1
    Basics Of Fluid Mechanics-Ii (Contd.)

    This section focuses on Bernoulli's equation in fluid mechanics, detailing...

  3. 2
    Bernoulli's Equation

    Bernoulli's equation describes the conservation of mechanical energy in a...

  4. 2.1
    Derivation Along A Streamline

    This section focuses on deriving Bernoulli's equation along a streamline in...

  5. 3
    Assumptions Of Bernoulli's Equation

    This section covers the fundamental assumptions underlying Bernoulli's...

  6. 3.1
    Frictionless And Steady Flow

    This section introduces Bernoulli's equation and its application to...

  7. 3.2
    Constant Density

    This section covers the principles and applications of Bernoulli's equation...

  8. 3.3
    Application Along A Streamline

    This section introduces Bernoulli's equation, detailing its derivation and...

  9. 4
    Equations Of Energy

    This section delves into the fundamental principles of Bernoulli's equation...

  10. 4.1
    Mechanical Energy Conservation

    This section discusses the principles of Bernoulli's equation and the...

  11. 4.2
    Hydraulic Grade Line And Energy Grade Line

    This section explains the concepts of the Hydraulic Grade Line (HGL) and...

  12. 4.2.1
    Hydraulic Grade Line (Hgl)

    This section provides an overview of the Hydraulic Grade Line (HGL),...

  13. 4.2.2
    Energy Grade Line (Egl)

    This section introduces the concept of the Energy Grade Line (EGL) and its...

  14. 5
    Simple Cases Of Bernoulli's Equation

    This section introduces Bernoulli's equation and its application to simple...

  15. 5.1
    Reservoir Case With V = 0

    This section explores the application of Bernoulli's equation in cases where...

  16. 5.2
    Fluid Experiencing Change In Elevation

    This section focuses on the application of Bernoulli's equation in hydraulic...

  17. 6
    Applications Of Bernoulli's Equation

    Bernoulli's equation describes the conservation of mechanical energy in...

  18. 6.1
    Stagnation Tube

    The section introduces the stagnation tube, discusses its significance in...

  19. 6.2

    The Pitot tube is an essential instrument for measuring fluid flow...

  20. 7
    Relaxed Assumptions Of Bernoulli's Equation

    This section discusses the relaxed assumptions of Bernoulli's equation,...

  21. 8
    Bernoulli's Equation Normal To Streamlines

    This section discusses Bernoulli's equation in the context of its...

  22. 9
    Examples Of Bernoulli's Equation Applications

    This section discusses various applications of Bernoulli's equation,...

  23. 9.1
    Venturi Meter Example

    The section discusses the application of Bernoulli's equation through the...

  24. 10
    Practice Problem

    This section introduces Bernoulli's equation in hydraulic engineering,...

What we have learnt

  • Bernoulli's equation represents the conservation of mechanical energy in fluid flow.
  • Key assumptions for applying Bernoulli's equation include frictionless flow, steady flow, and constant density.
  • The hydraulic grade line (HGL) and energy grade line (EGL) are crucial for analyzing flow behavior in various systems.

Key Concepts

-- Bernoulli's Equation
An equation that expresses the principle of conservation of energy for flowing fluids, stating that the sum of pressure energy, potential energy, and kinetic energy per unit volume is constant along a streamline.
-- Hydraulic Grade Line (HGL)
A line that represents the total potential energy head (pressure head and elevation head) of the fluid in a system.
-- Energy Grade Line (EGL)
A line that shows the total mechanical energy head (including kinetic energy) of the fluid in a system.

Additional Learning Materials

Supplementary resources to enhance your learning experience.