Hydraulic Engineering - Vol 2 | 1. Boundary Layer Theory by Abraham | Learn Smarter
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1. Boundary Layer Theory

The chapter covers the boundary layer theory, detailing the behavior of fluid flow over solid surfaces and the influence of viscous forces. It describes the formation of the boundary layer, characterized by a velocity gradient due to the no slip condition. There is an emphasis on distinguishing between the laminar and turbulent flow zones within the boundary layer, along with theoretical implications in various engineering contexts, especially in hydraulic applications.

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Sections

  • 1

    Hydraulic Engineering

    This section introduces boundary layer theory in hydraulic engineering, focusing on the behavior of fluid flow near solid boundaries.

  • 1.1

    Lecture-17

    This section introduces Boundary Layer Theory in hydraulic engineering, emphasizing fluid behavior near solid boundaries.

  • 1.2

    Boundary Layer Theory

    The section introduces the boundary layer theory in fluid dynamics, focusing on the behavior of fluid near solid boundaries and the resulting velocity gradients.

  • 2

    Boundary Layer Phenomena

    The boundary layer theory explains how fluid velocity interacts with solid surfaces, emphasizing the no-slip boundary condition and the formation of velocity gradients.

  • 2.1

    No Slip Boundary Condition

    The no slip boundary condition describes the phenomenon where fluid particles in contact with a solid surface move with the same velocity as the surface itself, resulting in a velocity gradient known as the boundary layer.

  • 2.2

    Velocity Variation Near A Solid Boundary

    The section discusses the boundary layer theory, focusing on the variation of fluid velocity near solid boundaries due to viscous effects.

  • 2.3

    Boundary Layer Thickness

    This section focuses on boundary layer theory in hydraulic engineering, examining the concepts of the no-slip condition and the distinctions between laminar and turbulent flows in boundary layers.

  • 3

    Regions Of Fluid Flow

    This section discusses the boundary layer theory in fluid flow, highlighting the no-slip boundary condition and the formation of boundary layers over stationary and moving surfaces.

  • 3.1

    Boundary Layer Region

    The section introduces the boundary layer theory, explaining the behavior of fluid flow near solid surfaces, focusing on no-slip conditions and velocity gradients.

  • 3.2

    Outer Flow Region

    The outer flow region is where fluid flows unaffected by viscous forces, remaining at the free-stream velocity.

  • 4

    Growth Of The Boundary Layer

    The section discusses the boundary layer theory, explaining the growth and significance of the boundary layer when fluid flows past a solid surface.

  • 4.1

    Flat Plate Dynamics

    The section focuses on flat plate dynamics and the boundary layer theory, detailing how fluid flows over a solid surface.

  • 4.2

    Lamination To Turbulence Transition

    This section explores the boundary layer theory, focusing on the transition from laminar flow to turbulent flow over a flat plate.

  • 4.3

    Velocity Gradient And Shear Stress

    This section covers the concepts of velocity gradient and shear stress in the context of boundary layer theory in fluid dynamics.

  • 5

    Reynolds Number And Boundary Layer Stability

    This section discusses the concept of the Reynolds number in relation to the stability of the boundary layer formed during fluid flow past a solid surface.

  • 5.1

    Laminar And Turbulent Boundary Layers

    This section covers the concepts of laminar and turbulent boundary layers in fluid dynamics, detailing the transition of fluid flow across a flat plate.

  • 5.2

    Threshold Reynolds Number

    This section explores the concept of the threshold Reynolds number, emphasizing its role in distinguishing between laminar and turbulent flow in boundary layer theory.

References

17a.pdf

Class Notes

Memorization

What we have learnt

  • The boundary layer is a thi...
  • Prandtl's theory divides fl...
  • The growth of the boundary ...

Final Test

Revision Tests