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Knowledge
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
References
ch14 part a.pdfClass Notes
Memorization
What we have learnt
- Conservation of momentum is...
- Linear momentum equations c...
- Control volumes are essenti...
Final Test
Revision Tests
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
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Term: Linear Momentum
Definition: Refers to the product of mass and velocity of a fluid, which is conserved in a closed system unless acted upon by external forces.
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Term: Control Volume
Definition: A designated volume in which fluid flow is analyzed to understand momentum and mass interactions with the surroundings.
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Term: Momentum Correction Factor (β)
Definition: A correction used to account for variations in velocity across a cross-section when calculating momentum flux.