Hydraulic Engineering - Vol 3 | 6. Viscous Fluid Flow (Contd.) by Abraham | Learn Smarter
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6. Viscous Fluid Flow (Contd.)

The chapter covers the fundamentals of viscous fluid flow, leading up to the derivation of the Navier-Stokes equation. Key concepts include vorticity, shear strains, and the rate of rotation within fluids, which are essential for understanding fluid mechanics. Applications of these concepts in real-world scenarios and their interrelation with other physical laws are emphasized throughout the discussions.

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Sections

  • 1

    Hydraulic Engineering

    This section introduces key concepts in hydraulic engineering, focusing on viscous fluid flow and the underlying principles that lead to the derivation of the Navier-Stokes equation.

  • 1.1

    Lecture – 49

  • 1.2

    Viscous Fluid Flow (Contd.)

    This section continues the study of viscous fluid flow, focusing on key concepts such as vorticity, shear strain, and the relationships essential for deriving the Navier-Stokes equations.

  • 1.3

    Basic Properties Of Material Derivative

    This section introduces the material derivative and discusses its significance in fluid dynamics.

  • 1.4

    Vorticity

    This section introduces vorticity as a measure of rotation in fluid dynamics, detailing its mathematical definition and significance in flow analysis.

  • 1.5

    Irrotational Flow

    Irrotational flow is defined by a vorticity of zero, indicating no local rotation in the fluid's motion.

  • 1.6

    Shear Strain

    This section defines shear strain and its significance in fluid dynamics, specifically in the context of viscous fluid flow.

  • 1.7

    Dilatation Or Extensional Strain

    This section discusses the concept of dilatation or extensional strain in fluid mechanics, focusing on its definition and formulation related to fluid motion.

  • 1.8

    Extensional And Shear Strain Rates

    The section details the concepts of extensional and shear strain rates, their definitions, and their mathematical representations in fluid dynamics.

  • 1.9

    Conclusion And Next Class Outline

    This section outlines the conclusion of the lecture on viscous fluid flow and introduces the topics for the next class, including the derivation of key equations.

References

49.pdf

Class Notes

Memorization

What we have learnt

  • Vorticity is defined as the...
  • Shear strain and extensiona...
  • The chapter prepares for de...

Final Test

Revision Tests