Fluid Mechanics - Vol 2 | 3. Lecture - 14: Conservation of Momentum: Example Problems by Abraham | Learn Smarter
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3. Lecture - 14: Conservation of Momentum: Example Problems

3. Lecture - 14: Conservation of Momentum: Example Problems

This chapter covers the principles of conservation of momentum in fluid mechanics, emphasizing its applications and various problem-solving techniques through example problems. It discusses the linear momentum equations in different coordinate systems, the simplifications that can be made under steady flow conditions, and the relevance of control volumes for practical applications. Additionally, it illustrates concepts through GATE questions, showcasing the application of momentum and mass conservation equations.

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Sections

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  1. 3
    Fluid Mechanics

    This section discusses the conservation of momentum within the framework of...

  2. 3.1.1
    Lecture - 14: Conservation Of Momentum: Example Problems

    This lecture explores the conservation of momentum in fluid mechanics...

  3. 3.2
    Application Of Linear Momentum

    This section discusses the application of linear momentum in fluid...

  4. 3.2.1
    Flow Structures In Hydraulic Jump

    The section discusses conservation of mass and momentum in fluid mechanics,...

  5. 3.2.2
    Linear Momentum Hints And Tips

    This section discusses the use of linear momentum equations in fluid...

  6. 3.3
    Example Problems

    This section presents various example problems illustrating the applications...

  7. 3.3.1
    Gate 2005 Civil Engineering Problem

    This section presents various examples and concepts regarding the...

  8. 3.3.2
    Second Example: Double Exit Elbow

    This section provides an analysis of fluid mechanics focusing on the double...

  9. 3.3.3
    Fighter Plane Refueling Problem

    This section discusses the fighter plane refueling problem, focusing on how...

What we have learnt

  • Conservation of momentum is crucial for analyzing fluid dynamics problems.
  • Linear momentum equations can be simplified for steady flow with one inlet and one outlet.
  • Control volumes are essential for visualizing forces in fluid systems and determining momentum flux.

Key Concepts

-- Linear Momentum
Refers to the product of mass and velocity of a fluid, which is conserved in a closed system unless acted upon by external forces.
-- Control Volume
A designated volume in which fluid flow is analyzed to understand momentum and mass interactions with the surroundings.
-- Momentum Correction Factor (β)
A correction used to account for variations in velocity across a cross-section when calculating momentum flux.

Additional Learning Materials

Supplementary resources to enhance your learning experience.