3.1.5 - Partial Differential Equations
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Practice Questions
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What is a control volume?
💡 Hint: Think of it as a specific area in fluid dynamics.
What does the principle of mass conservation state?
💡 Hint: Focus on the idea of mass balance.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What principle does the mass conservation equation represent?
💡 Hint: Think about how mass behaves in fluid dynamics.
The divergence of velocity vectors indicates the presence of what?
💡 Hint: Recall the physical interpretations of divergence.
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Challenge Problems
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Consider a cylindrical tank filled with water. If the inflow rate is 10 L/min and the outflow rate is 8 L/min, what is the net change in mass within the tank over 10 minutes?
💡 Hint: Calculate the difference between inflow and outflow rates first.
Using the notion of mass conservation, explain how would you approach deriving the equations governing the flow of air through a variable density medium?
💡 Hint: Consider how density affects total mass in your control volume.
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