4.3.1 - Velocity Divergence in Incompressible Flow
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Practice Questions
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What is mass conservation?
💡 Hint: Think about the implications of mass in any physical process.
Define incompressible flow.
💡 Hint: Consider how gases behave under pressure.
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Interactive Quizzes
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What does mass conservation imply in fluid dynamics?
💡 Hint: Reflect on basic physics laws.
True or False: Incompressible flow has a velocity divergence equal to zero.
💡 Hint: Think about the definition of incompressibility.
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Challenge Problems
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Consider a variable density fluid flowing through a passage. Develop the mass conservation equation while accounting for density changes across a control volume.
💡 Hint: Apply the principles discussed for control volumes.
In a cylindrical coordinate system, derive the divergence for a flow with a radial component and analyze its implications.
💡 Hint: Visualize the changes across circular cross-sections.
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