Practice Partial Differential Equations - 3.1.5 | 3. Mass Conservation Equation- I | Fluid Mechanics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a control volume?

💡 Hint: Think of it as a specific area in fluid dynamics.

Question 2

Easy

What does the principle of mass conservation state?

💡 Hint: Focus on the idea of mass balance.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What principle does the mass conservation equation represent?

  • Mass can be created
  • Mass is constant
  • Mass is variable

💡 Hint: Think about how mass behaves in fluid dynamics.

Question 2

The divergence of velocity vectors indicates the presence of what?

  • True
  • False

💡 Hint: Recall the physical interpretations of divergence.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation