Hydraulic Engineering - Vol 1 | 22. Turbulent Pipe Flow by Abraham | Learn Smarter
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Knowledge
22. Turbulent Pipe Flow

The chapter covers the concepts of velocity profiles in turbulent pipe flow, distinguishing between smooth and rough pipes, and discusses physical principles of the power law velocity profile and its limitations. A method for calculating average velocity in a pipe using a specific velocity profile is detailed, exemplifying a rigorous approach for fluid mechanics problems.

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Sections

  • 1

    Turbulent Pipe Flow

    This section discusses turbulent flow in pipes, focusing on the relationship between average velocity and frictional velocity, and derives equations for both smooth and rough pipes.

    Learning Practice

  • 1.1

    Smooth Pipes Equation

    This section covers the equations governing fluid flow in smooth and rough pipes, focusing on the average velocity and its relationship to frictional velocity.

    Learning Practice

  • 1.2

    Rough Pipes Equation

    This section examines the equations governing turbulent flow in rough pipes, comparing them to smooth pipes and introducing the power law velocity profile.

    Learning Practice

  • 1.3

    Observation On Velocity Difference

    This section discusses the relationship between average velocity and frictional velocity in turbulent pipe flow, illustrating key equations for smooth and rough pipes.

    Learning Practice

  • 1.4

    Power Law Velocity Profile

    This section discusses the power law velocity profile in turbulent pipe flow, differentiating between smooth and rough pipes.

    Learning Practice

  • 1.5

    Limitations Of Power Law Profiles

    This section discusses the limitations of power law velocity profiles in turbulent pipe flow, specifically their inability to predict wall shear stress and zero slope at the pipe center.

    Learning Practice

  • 1.6

    Problem Solving: Average Velocity In Pipe

    This section discusses the calculation and significance of average velocity in both smooth and rough pipe flows.

    Learning Practice

  • 2

    Calculation Of Average Velocity

    This section focuses on the derivation and significance of average velocity in turbulent pipe flow, covering both smooth and rough pipes.

    Learning Practice

  • 2.1

    Integral Calculation Steps

    This section explains the integral calculation steps for determining the velocity profile in turbulent pipe flows and highlights the differences between smooth and rough pipes.

    Learning Practice

  • 2.2

    Final Result Of Average Velocity

    This section discusses the calculation of average velocities in turbulent pipe flow, analyzing both smooth and rough pipes to derive key equations.

    Learning Practice

  • 3

    References And Conclusion

    This section discusses key velocity equations for turbulent pipe flow, highlighting both smooth and rough pipe characteristics.

    Learning Practice

  • 3.1

    References

    This section discusses the calculations involved in determining average and frictional velocities in smooth and rough pipe flows, alongside a discussion on the power law velocity profile.

    Learning Practice

  • 3.2

    Lecture Wrap-Up

    This section discusses turbulent flow in pipes, exploring the equations for average velocity and the impact of smooth versus rough surfaces.

    Learning Practice

References

16b.pdf

Class Notes

Memorization

What we have learnt

  • The difference between velo...
  • Power law velocity profiles...
  • An expression for the avera...

Final Test

Revision Tests