Fluid Mechanics - Vol 1 | 14. Introduction to Conservation Principles by Abraham | Learn Smarter
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14. Introduction to Conservation Principles

The chapter explores the principles of conservation of momentum, energy, and mass in fluid mechanics, emphasizing the importance of understanding extensive and intensive properties. It introduces the Reynolds transport theorem as a pivotal concept connecting system-level and control volume-level analyses. The derivations and applications of these principles in various fluid mechanics contexts are also discussed to facilitate problem-solving skills.

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Sections

  • 14

    Introduction To Conservation Principles

    This section introduces conservation principles in fluid mechanics, focusing on momentum, mass, and energy conservation as foundational concepts.

    Learning Practice

  • 14.1.1

    Conservation Of Momentum

    This section discusses the principles of momentum conservation, focusing on extensive and intensive properties, and introduces the Reynolds transport theorem.

    Learning Practice

  • 14.1.2

    Energy Conservation Principles

    This section discusses the principles of energy conservation in fluid mechanics, focusing on extensive and intensive properties, and outlines the Reynolds transport theorem.

    Learning Practice

  • 14.1.3

    Heat Transfer Considerations

    This section explores the principles of heat transfer within fluid systems, emphasizing mass, momentum, and energy conservation.

    Learning Practice

  • 14.1.4

    Overview Of Energy Conservation In Solid Mechanics

    This section discusses energy conservation principles in solid mechanics, focusing on the dynamics of fluid movement within a defined system.

    Learning Practice

  • 14.2

    Reynolds Transport Theorem

    The Reynolds Transport Theorem connects system-level conservation laws with control volume analysis, offering a framework for understanding fluid flow properties in terms of extensive and intensive properties.

    Learning Practice

  • 14.2.1

    Definition Of Properties

    This section defines extensive and intensive properties in fluid mechanics, highlighting their dependencies on mass.

    Learning Practice

  • 14.2.2

    Extensive Vs Intensive Properties

    This section explains the difference between extensive and intensive properties, emphasizing their relation to mass in physical systems.

    Learning Practice

  • 14.2.3

    Derivation Of Reynolds Transport Theorem

    This section introduces the Reynolds Transport Theorem, establishing the relationship between conservation laws at the system and control volume levels in fluid dynamics.

    Learning Practice

  • 14.2.4

    Control Volume And Influx/outflux Regions

    This section explores the fundamental principles of conservation laws in fluid mechanics, including mass, momentum, and energy conservation in control volumes, and distinguishes between extensive and intensive properties.

    Learning Practice

  • 14.2.5

    Time Rate Of Change In System And Control Volume

    This section discusses the principles of conservation of momentum and energy in fluid dynamics, focusing on the Reynolds transport theorem.

    Learning Practice

  • 14.3

    Understanding Control Volume Analysis

    This section focuses on the principles of control volume analysis, emphasizing conservation laws in fluid mechanics.

    Learning Practice

  • 14.3.1

    Defining Influx And Outflux

    This section defines influx and outflux in fluid mechanics, emphasizing the conservation principles of mass, momentum, and energy.

    Learning Practice

  • 14.3.2

    Integration Over Control Surfaces

    This section discusses the principles of conservation of mass, momentum, and energy within fluid dynamics, specifically focusing on the Reynolds transport theorem and its application to control volumes.

    Learning Practice

  • 14.3.3

    Simplification In Steady Incompressible Flow

    This section discusses the application of conservation principles in fluid dynamics, particularly focusing on the Reynolds transport theorem and the distinctions between extensive and intensive properties.

    Learning Practice

  • 14.4

    Conclusion And Summary

    The section concludes by summarizing the principles of energy conservation, fluid dynamics, and the Reynolds Transport Theorem.

    Learning Practice

  • 14.4.1

    Overview Of Derived Concepts

    This section covers essential principles of fluid mechanics, including the conservation of mass, momentum, and energy, and introduces extensive and intensive properties relevant to these principles.

    Learning Practice

  • 14.4.2

    Next Steps For Further Learning

    This section discusses the fundamental concepts of conservation laws in fluid mechanics, including momentum and energy, and introduces the Reynolds transport theorem.

    Learning Practice

References

ch7 part b.pdf

Class Notes

Memorization

What we have learnt

  • Understanding of extensive ...
  • The Reynolds transport theo...
  • The simplification of fluid...

Final Test

Revision Tests