Practice Case Studies and Problems - 4.1.8 | 4. Continuity Equations | Fluid Mechanics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the continuity equation.

💡 Hint: Think about mass flow.

Question 2

Easy

What is divergence in fluid mechanics?

💡 Hint: Consider vector fields.

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 does the continuity equation express?

  • Mass conservation
  • Energy conservation
  • Momentum conservation

💡 Hint: Think about the principle of mass flow.

Question 2

True or False: Incompressible flow assumes density varies with pressure.

  • True
  • False

💡 Hint: Reflect on the definitions of incompressible flow.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a cylindrical tank with a piston compressing air. If the piston moves at a speed of 0.1 m/s, calculate how the density changes with time if initially, the density is known.

💡 Hint: Account for changes in the volume and apply the continuity equation.

Question 2

Given a two-dimensional flow field represented as v(x,y) = (x, y^2), determine if the flow is incompressible or not.

💡 Hint: Remember to differentiate with respect to each variable and sum them.

Challenge and get performance evaluation