Fluid Mechanics - Vol 1 | 18. Fluid by Abraham | Learn Smarter
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18. Fluid

The lecture on the conservation of momentum in fluid mechanics delves into key concepts such as steady and unsteady flow, Reynolds transport theorem, and the fundamental aspects needed to derive momentum equations. It emphasizes the practical application of fluid dynamics principles through various illustrative examples, including real-world projects like the Bhakra Nangal project. The content also provides insights into fluid flow classification and problem-solving techniques relevant in engineering contexts.

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Sections

  • 18

    Fluid

    This section introduces the concept of momentum conservation in fluid mechanics, providing foundational principles for analyzing fluid behavior.

    Learning Practice

  • 18.1.1

    Prof. Subashisa Dutta

    This section introduces conservation of momentum in fluid mechanics first outlined by Prof. Dutta, following previous discussions on the conservation of mass.

    Learning Practice

  • 18.1.2

    Department Of Civil Engineering

    This section introduces the concept of conservation of momentum in fluid mechanics, building on the previously covered conservation of mass.

    Learning Practice

  • 18.1.3

    Indian Institute Of Technology Guwahati

    This section covers the conservation of momentum in fluid mechanics, presenting its principles and applications in real-world engineering scenarios.

    Learning Practice

  • 18.1.4

    Lecture No. – 09

    This lecture discusses the conservation of momentum in fluid mechanics, building on previous concepts of mass conservation and introducing applications and equations relevant to engineering.

    Learning Practice

  • 18.1.5

    Conservation Of Momentum

    This section discusses the conservation of momentum in fluid mechanics, building upon the previous concepts of mass conservation and introducing the Reynolds transport theorem.

    Learning Practice

  • 18.2

    Introduction To Conservation Of Momentum

    This section introduces the conservation of momentum in fluid mechanics, building on the previous discussion about the conservation of mass.

    Learning Practice

  • 18.2.1

    Previous Discussion On Conservation Of Mass

    This section revisits the concept of the conservation of mass as it applies to fluid mechanics, setting the foundation for the conservation of momentum.

    Learning Practice

  • 18.2.2

    Reynolds Transport Theorem

    The Reynolds Transport Theorem provides a framework for relating the rate of change of a quantity within a control volume to the flow of that quantity across its boundaries.

    Learning Practice

  • 18.2.3

    Derivation Of Conservation Of Linear Momentum

    This section covers the derivation of the conservation of linear momentum in fluid mechanics, explaining key principles and their applications.

    Learning Practice

  • 18.3

    Reynolds Transport Theorem

    This section delves into the concepts of steady and unsteady flow in fluid mechanics, focusing on their significance in the application of the Reynolds transport theorem.

    Learning Practice

  • 18.3.1

    Steady Vs Unsteady Flow

    This section delves into the concepts of steady and unsteady flow in fluid mechanics, focusing on their significance in the application of the Reynolds transport theorem.

    Learning Practice

  • 18.3.2

    Compressible Vs Incompressible Flow

    This section distinguishes between compressible and incompressible flow in fluid mechanics, highlighting their significance in analyzing flow systems.

    Learning Practice

  • 18.4

    Examples And Applications

    This section explores the application of fluid mechanics through conservation of momentum and several practical examples.

    Learning Practice

  • 18.4.1

    Hydro Projects Overview

    This section provides an overview of hydro projects, emphasizing the significance of fluid mechanics in their design and operation.

    Learning Practice

  • 18.4.2

    Bhakra Nangal Project

    The Bhakra Nangal Project is a major hydroelectric project in India that illustrates the application of fluid mechanics in designing large-scale infrastructure.

    Learning Practice

  • 18.4.3

    Control Volume Approach

    The Control Volume Approach in fluid mechanics emphasizes applying the principles of momentum conservation using Reynolds Transport Theorem to analyze fluid flow in fixed or moving control volumes.

    Learning Practice

  • 18.5

    Problem Analysis

    This section introduces the concept of conservation of momentum in fluid mechanics, building upon principles established in conservation of mass.

    Learning Practice

  • 18.5.1

    Issues With Soil Matrix Flow

    This section focuses on the complexities of fluid movement within soil matrices, addressing the conservation principles applied to soil-water systems.

    Learning Practice

  • 18.5.2

    Flow Classification

    This section introduces flow classification in fluid mechanics, focusing on essential categories such as steady vs. unsteady and incompressible vs. compressible flows.

    Learning Practice

  • 18.5.3

    Control Volume Approach For Unsteady Flow

    This section discusses the control volume approach to analyze unsteady flow and derive the conservation of linear momentum equations.

    Learning Practice

  • 18.6

    Examples In Gate Examinations

    This section focuses on deriving the conservation of linear momentum principles in fluid mechanics, while presenting examples relevant to GATE examinations.

    Learning Practice

  • 18.6.1

    Gate 2006 Example

    This section explores the concept of conservation of momentum through fluid mechanics, addressing examples and applications relevant to engineering.

    Learning Practice

  • 18.6.2

    Gate 2012 Example

    This section discusses the application of conservation of momentum in fluid mechanics, illustrated with examples primarily from GATE examinations.

    Learning Practice

  • 18.7

    Linear Momentum Equations Derivation

    This section covers the derivation of linear momentum equations using the Reynolds Transport Theorem within the context of fluid mechanics.

    Learning Practice

  • 18.7.1

    Control Volume Considerations

    This section focuses on the control volume approach in fluid mechanics, particularly in relation to the conservation of mass and momentum within fluid systems.

    Learning Practice

  • 18.7.2

    Forces Acting On Control Volume

    This section explores the forces acting on a control volume, including body forces and surface forces, and their significance in fluid mechanics.

    Learning Practice

  • 18.7.3

    Gravity Force Calculation

    This section discusses the principle of gravity force calculation in fluid mechanics, particularly focusing on the conservation of momentum.

    Learning Practice

  • 18.7.4

    Surface Forces Overview

    This section introduces the basics of surface forces in fluid mechanics, covering their types, sources, and implications in various fluid flow scenarios.

    Learning Practice

References

ch9 part a.pdf

Class Notes

Memorization

What we have learnt

  • Conservation of momentum pr...
  • The Reynolds transport theo...
  • Understanding flow classifi...

Final Test

Revision Tests