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Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the continuity equation represent?
💡 Hint: Think about the principle of mass in a closed system.
Question 2
Easy
Describe irrotational flow.
💡 Hint: What happens to rotation in the fluid?
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 is the main purpose of the continuity equation?
💡 Hint: Recap on what happens to mass in a closed system.
Question 2
True or False: The Navier-Stokes equations can only be applied to incompressible flows.
💡 Hint: Think about whether fluids can be compressed and how that impacts equations.
Solve and get performance evaluation
Push your limits with challenges.
Question 1
Given a velocity field of u = Ax + By and v = Cx - Dy, derive the continuity equation and analyze if it satisfies mass conservation.
💡 Hint: Utilize partial derivatives to solve.
Question 2
For a flow scenario involving high-pressure gradients across a cylindrical pipe, derive the velocity profile using the Navier-Stokes equations.
💡 Hint: Remember to set gravity terms to zero for horizontal flow.
Challenge and get performance evaluation