Hydraulic Engineering - Vol 1 | 15. Conservation of Momentum by Abraham | Learn Smarter
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Knowledge
15. Conservation of Momentum

The chapter focuses on the principles of momentum conservation and the application of Reynolds transport theorem to derive conservation equations for mass and linear momentum in fluid mechanics. It includes practical examples and exercises to illustrate these concepts. The study emphasizes the use of control volumes in analyzing fluid systems and provides insights into the relationship between pressure forces and fluid motion.

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Sections

  • 1

    Hydraulic Engineering

    This section covers the fundamentals of hydraulic engineering, focusing on fluid mechanics, the Reynolds transport theorem, and the conservation of mass and momentum.

    Learning Practice

  • 1.1

    Prof. Mohammad Saud Afzal

    The section provides an overview of the conservation of momentum and mass in fluid mechanics, detailing key equations and principles in hydraulic engineering.

    Learning Practice

  • 1.2

    Department Of Civil Engineering

    The section focuses on hydraulic engineering principles specifically on the conservation of mass and momentum in fluid mechanics, crucial for further understanding of hydraulic systems.

    Learning Practice

  • 1.3

    Indian Institute Of Technology Kharagpur

    This section delves into the principles of fluid mechanics, focusing on conservation laws, specifically mass and momentum, using the Reynolds transport theorem.

    Learning Practice

  • 1.4

    Lecture-11

    This section delves into the conservation of mass and momentum in fluid mechanics, focusing on Reynolds transport theorem and its application to derive conservation equations.

    Learning Practice

  • 1.5

    Basics Of Fluid Mechanics-Ii

    This section delves into the principles of conservation of mass and momentum within fluid mechanics, specifically through the application of the Reynolds transport theorem.

    Learning Practice

  • 2

    Conservation Of Momentum

    This section covers the conservation of momentum principle as applied to fluid mechanics, specifically emphasizing its connection to Reynolds transport theorem.

    Learning Practice

  • 2.1

    Reynolds Transport Theorem

    The Reynolds Transport Theorem translates system dynamics into control volume analysis, forming the foundation for conservation laws in fluid mechanics.

    Learning Practice

  • 2.2

    Control Volume

    This section delves into the control volume approach and the conservation of mass and momentum in fluid mechanics, crucial for understanding hydraulic systems.

    Learning Practice

  • 2.3

    Conservation Of Mass

    This section discusses the conservation of mass in fluid mechanics, emphasizing its application through the Reynolds Transport Theorem.

    Learning Practice

  • 2.4

    Continuity Equation

    The continuity equation expresses the principle of conservation of mass in fluid mechanics, highlighting how mass flow rate remains constant in a fluid system.

    Learning Practice

  • 2.5

    Examples Of Conservation Of Mass

    This section explores the application of the conservation of mass principle in fluid mechanics, detailing its connection to the Reynolds Transport Theorem and deriving the continuity equation.

    Learning Practice

  • 2.6

    Linear Momentum Equation

    This section explores the linear momentum equation derived from the Reynolds transport theorem, applying it to analyze fluid dynamics problems involving forces and conservation of momentum.

    Learning Practice

  • 2.7

    Steady Control Volume Form Of Newton’s Second Law

    This section discusses the steady control volume form of Newton’s second law, focusing on conservation laws such as mass, momentum, and applications in hydraulic engineering.

    Learning Practice

  • 2.8

    Example: Reducing Elbow

    Learning

  • 2.9

    Pressure Forces

    This section covers pressure forces, the conservation of mass, and the application of Reynolds transport theorem in hydraulic engineering.

    Learning Practice

  • 2.10

    Example: Force Required To Hold The Cone

    Learning

  • 3

    Moment Of Momentum Equation

    This section explores the moment of momentum equation in fluid mechanics, emphasizing its application through the Reynolds transport theorem.

    Learning Practice

  • 3.1

    Application In Turbo Machinery

    This section explores the application of the Reynolds transport theorem in deriving conservation equations pertinent to fluid mechanics, particularly in turbo machinery.

    Learning Practice

  • 3.2

    Practice Problem

    This section focuses on applying the Reynolds transport theorem to derive different conservation equations, primarily concerning conservation of mass and linear momentum.

    Learning Practice

  • 4

    Conclusion

    This section wraps up the foundational concepts of fluid mechanics, emphasizing momentum conservation and its implications in hydraulic engineering.

    Learning Practice

  • 4.1

    Summary Of Fluid Mechanics 2

    This section focuses on the principles of mass and momentum conservation in fluid mechanics, using the Reynolds transport theorem.

    Learning Practice

  • 4.2

    Upcoming Topics

    This section discusses the application of Reynolds Transport Theorem to conservation equations in hydraulic engineering, focusing primarily on mass and linear momentum.

    Learning Practice

References

11.pdf

Class Notes

Memorization

What we have learnt

  • The Reynolds transport theo...
  • The continuity equation rep...
  • Linear momentum conservatio...

Final Test

Revision Tests