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

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Sections

  • 1

    Hydraulic Engineering

    The section covers essential concepts in hydraulic engineering, focusing on boundary layer theory, displacement thickness, momentum thickness, and energy thickness.

  • 1.1

    Prof. Mohammad Saud Afzal

    This section discusses the boundary layer theory in hydraulic engineering, covering concepts such as displacement, momentum, and energy thickness.

  • 1.2

    Department Of Civil Engineering

    This section discusses hydraulic engineering concepts focusing on boundary layer theory, specifically displacement thickness, momentum thickness, and energy thickness.

  • 1.3

    Indian Institute Of Technology Kharagpur

    This section discusses the Boundary Layer Theory in hydraulic engineering, focusing on concepts like displacement thickness, momentum thickness, and energy thickness.

  • 1.4

    Lecture – 18

    This section discusses the boundary layer theory in hydraulic engineering, specifically focusing on displacement thickness, momentum thickness, and energy thickness.

  • 1.5

    Boundary Layer Theory (Contd.,)

    This section further explores the concepts of displacement thickness, momentum thickness, and energy thickness within boundary layer theory in hydraulic engineering.

  • 2

    Displacement Thickness

    The displacement thickness defines the distance a streamline is displaced due to viscous effects in flow over a surface.

  • 2.1

    Definition Of Displacement Thickness

    Displacement thickness describes the distance a streamline is shifted away from a boundary due to viscous effects, essential in boundary layer theory.

  • 2.2

    Flow Over A Smooth Flat Plate

    This section discusses the concepts of displacement thickness, momentum thickness, and energy thickness in fluid flow over a smooth flat plate.

  • 2.3

    Mass Flux Through Elemental Strip

    This section explores the concept of mass flux through an elemental strip in fluid dynamics, delving into terms like displacement thickness and momentum thickness.

  • 2.4

    Total Reduction In Mass Flux

    This section explains the concept of total reduction in mass flux in hydraulic engineering, particularly involving the displacement and momentum thickness in boundary layer flow.

  • 2.5

    Equation For Displacement Thickness

    This section discusses the derivation and significance of displacement thickness in boundary layer theory in hydraulic engineering.

  • 3

    Momentum Thickness

    Momentum thickness is a key concept in boundary layer theory, representing the reduction of momentum flux in a fluid flow due to viscous effects.

  • 3.1

    Definition Of Momentum Thickness

    Momentum thickness is defined as the loss of momentum flux in the boundary layer compared to the uniform flow, influenced by viscosity.

  • 3.2

    Loss Of Momentum Flux

    This section discusses the concept of momentum flux loss in boundary layer theory, defining important metrics like momentum thickness and displacement thickness.

  • 3.3

    Equation For Momentum Thickness

    This section defines momentum thickness in fluid mechanics, explains its derivation, and relates it to other boundary layer thicknesses.

  • 4

    Energy Thickness

    This section introduces energy thickness, defining it as a measure of kinetic energy loss in fluid flow due to velocity deficit in the boundary layer.

  • 4.1

    Definition Of Energy Thickness

    Energy thickness is a measure in fluid dynamics that quantifies the reduction of kinetic energy in a fluid flow due to viscous effects within the boundary layer.

  • 4.2

    Comparison Of Thickness Types

    This section covers the definitions and differences between displacement thickness, momentum thickness, and energy thickness in the context of boundary layer theory.

  • 5

    Key Points On Boundary Layer Theory

    The section discusses the concepts of displacement thickness, momentum thickness, and energy thickness as part of Boundary Layer Theory.

  • 5.1

    Assumptions Of Boundary Layer Theory

    The section discusses the fundamental assumptions of Boundary Layer Theory, focusing on key concepts like displacement thickness, momentum thickness, and energy thickness.

  • 6

    Problem Solving Section

    This section delves into the boundary layer theory, specifically displacement, momentum, and energy thickness calculations.

  • 6.1

    First Problem: Displacement, Momentum And Energy Thickness

    This section delves into the key concepts of displacement thickness, momentum thickness, and energy thickness within the context of boundary layer theory in hydraulic engineering.

  • 6.2

    Second Problem: Different Velocity Distribution

    This section discusses different velocity distribution in boundary layer theory, focusing on displacement thickness, momentum thickness, and energy thickness calculations.

  • 6.3

    Summary Of The Problems

    This section provides an overview of various thicknesses in boundary layer analysis, including displacement thickness, momentum thickness, and energy thickness, with derivations and sample problems.

References

18.pdf

Class Notes

Memorization

What we have learnt

  • Displacement thickness is t...
  • Momentum thickness quantifi...
  • Energy thickness reflects t...

Final Test

Revision Tests