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
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What we have learnt
- Understanding of extensive and intensive properties and their significance in fluid mechanics.
- The Reynolds transport theorem bridges the gap between system and control volume analysis.
- The simplification of fluid mechanics problems can significantly aid in the analysis of real-world systems.
Key Concepts
- -- Extensive Property
- A property that is proportional to the amount of mass in a system; examples include mass, momentum, and energy.
- -- Intensive Property
- A property that is independent of mass, such as velocity and specific energy.
- -- Reynolds Transport Theorem
- A fundamental theorem that relates the rate of change of a property in a control volume to the flow of that property across the control surface and the change within the control volume.
- -- Control Volume
- A defined space through which fluid may flow, allowing for the analysis of mass, momentum, and energy changes.
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