3.1.1 - Mass Conservation Equation- I
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Practice Questions
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What is a control volume and why is it important in fluid mechanics?
💡 Hint: Consider what boundaries a control volume has.
State the mass conservation principle.
💡 Hint: Think about how mass can only move from one place to another.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What principle does the mass conservation equation state?
💡 Hint: Reflect on the consistency of mass in closed systems.
The differential approach looks at properties at which level?
💡 Hint: Consider how analyses are more detailed in this approach.
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Challenge Problems
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Calculate the mass flow rate of water through a pipe with a cross-sectional area of 0.2 m², flowing at a velocity of 2 m/s. Assume density of water is 1000 kg/m³.
💡 Hint: Use the formula for mass flow rate, considering density and flow characteristics.
Using the divergence theorem, show how you would set up an equation for a volume integral over a cylinder with radius r and height h.
💡 Hint: Incorporate the geometry of a cylinder into your volume and surface integrals.
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