Practice Implications of Mass Conservation - 4.3.2 | 4. Continuity Equations | Fluid Mechanics - Vol 3
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Implications of Mass Conservation

4.3.2 - Implications of Mass Conservation

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the principle of mass conservation?

💡 Hint: Think about how we can balance mass in a system.

Question 2 Easy

Define the continuity equation.

💡 Hint: How do you relate inflow and outflow of mass?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the continuity equation express?

A. Mass can be created.
B. Mass must balance input and output.
C. Mass can be destroyed.
D. Mass remains unchanged.

💡 Hint: What principle governs the flow in closed systems?

Question 2

True or False: The divergence of mass flux is always zero in compressible flow.

True
False

💡 Hint: Consider how compressible flow behaves in terms of density changes.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A fluid flows through a pipe that begins with a known density and velocity. If the diameter decreases, calculate the new velocity using mass conservation principles.

💡 Hint: Use the relation of area and velocity for fluids.

Challenge 2 Hard

Describe how mass conservation principles can be utilized in designing a water distribution system.

💡 Hint: Consider the implications of pressure and flow rate in your design.

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