3.1.11 - Mass Conservation Equations Derived
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Practice Questions
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What is a control volume?
💡 Hint: Think about what you would measure within a specified area.
What does the Reynolds Transport Theorem relate?
💡 Hint: Consider mass and its movement.
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Interactive Quizzes
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What does the Reynolds Transport Theorem connect?
💡 Hint: Consider what quantity is conserved in fluid mechanics.
True or False: The divergence of a velocity field being negative indicates a source.
💡 Hint: Think about flow directions and sources versus sinks.
1 more question available
Challenge Problems
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A pipe system experiences a mass inflow of 2 kg/s and outflow of 1.5 kg/s. Calculate the change in mass within a control volume over a time of 5 seconds.
💡 Hint: Use the relationship of inflow and outflow in your calculation.
Derive the continuity equation using the divergence theorem for an incompressible fluid.
💡 Hint: Relate the divergence of velocity to mass conservation.
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