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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
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the continuity equation express?
💡 Hint: Think about the principle of mass flow.
Question 2
True or False: Incompressible flow assumes density varies with pressure.
💡 Hint: Reflect on the definitions of incompressible flow.
Solve 1 more question and get performance evaluation
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