Hydraulic Engineering - Vol 2 | 3. Boundary Layer Theory (Contd.,) by Abraham | Learn Smarter
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3. Boundary Layer Theory (Contd.,)

3. Boundary Layer Theory (Contd.,)

Boundary layer theory examines the effects of a boundary layer in fluid flow over surfaces. The displacement, momentum, and energy thicknesses are defined in terms of the velocity profiles of the fluid and their influence on momentum flux. The chapter also presents practical problems for calculating these thicknesses based on given velocity distributions.

25 sections

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Sections

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  1. 1
    Hydraulic Engineering

    The section covers essential concepts in hydraulic engineering, focusing on...

  2. 1.1
    Prof. Mohammad Saud Afzal

    This section discusses the boundary layer theory in hydraulic engineering,...

  3. 1.2
    Department Of Civil Engineering

    This section discusses hydraulic engineering concepts focusing on boundary...

  4. 1.3
    Indian Institute Of Technology Kharagpur

    This section discusses the Boundary Layer Theory in hydraulic engineering,...

  5. 1.4
    Lecture – 18

    This section discusses the boundary layer theory in hydraulic engineering,...

  6. 1.5
    Boundary Layer Theory (Contd.,)

    This section further explores the concepts of displacement thickness,...

  7. 2
    Displacement Thickness

    The displacement thickness defines the distance a streamline is displaced...

  8. 2.1
    Definition Of Displacement Thickness

    Displacement thickness describes the distance a streamline is shifted away...

  9. 2.2
    Flow Over A Smooth Flat Plate

    This section discusses the concepts of displacement thickness, momentum...

  10. 2.3
    Mass Flux Through Elemental Strip

    This section explores the concept of mass flux through an elemental strip in...

  11. 2.4
    Total Reduction In Mass Flux

    This section explains the concept of total reduction in mass flux in...

  12. 2.5
    Equation For Displacement Thickness

    This section discusses the derivation and significance of displacement...

  13. 3
    Momentum Thickness

    Momentum thickness is a key concept in boundary layer theory, representing...

  14. 3.1
    Definition Of Momentum Thickness

    Momentum thickness is defined as the loss of momentum flux in the boundary...

  15. 3.2
    Loss Of Momentum Flux

    This section discusses the concept of momentum flux loss in boundary layer...

  16. 3.3
    Equation For Momentum Thickness

    This section defines momentum thickness in fluid mechanics, explains its...

  17. 4
    Energy Thickness

    This section introduces energy thickness, defining it as a measure of...

  18. 4.1
    Definition Of Energy Thickness

    Energy thickness is a measure in fluid dynamics that quantifies the...

  19. 4.2
    Comparison Of Thickness Types

    This section covers the definitions and differences between displacement...

  20. 5
    Key Points On Boundary Layer Theory

    The section discusses the concepts of displacement thickness, momentum...

  21. 5.1
    Assumptions Of Boundary Layer Theory

    The section discusses the fundamental assumptions of Boundary Layer Theory,...

  22. 6
    Problem Solving Section

    This section delves into the boundary layer theory, specifically...

  23. 6.1
    First Problem: Displacement, Momentum And Energy Thickness

    This section delves into the key concepts of displacement thickness,...

  24. 6.2
    Second Problem: Different Velocity Distribution

    This section discusses different velocity distribution in boundary layer...

  25. 6.3
    Summary Of The Problems

    This section provides an overview of various thicknesses in boundary layer...

What we have learnt

  • Displacement thickness is the distance a streamline is displaced away from the wall.
  • Momentum thickness quantifies the loss of momentum flux in the boundary layer.
  • Energy thickness reflects the reduction of kinetic energy in the fluid flow due to velocity deficit.

Key Concepts

-- Displacement Thickness
The distance by which a streamline just outside the boundary layer is displaced from the wall due to viscous effects.
-- Momentum Thickness
A measure of the loss of momentum flux in the boundary layer compared to the potential flow.
-- Energy Thickness
A thickness that measures the reduction of kinetic energy in the fluid flowing due to the velocity deficit.
-- Boundary Layer
The thin region adjacent to a solid boundary where the effects of viscosity are significant in comparison to inertial forces.

Additional Learning Materials

Supplementary resources to enhance your learning experience.