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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the continuity equation.
💡 Hint: Look for terms in fluid dynamics related to mass flow.
Question 2
Easy
What does incompressible flow imply?
💡 Hint: Think about what happens to volume in incompressible fluids.
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 is the continuity equation in fluid dynamics?
- ∂ρ/∂t = 0
- ∂ρ/∂t + ∇⋅(ρV⃗) = 0
- ∂V/∂t + ∇⋅(V) = 0
💡 Hint: Identify the equation specific to mass flow dynamics.
Question 2
True or False: The continuity equation applies only to compressible flows.
- True
- False
💡 Hint: Think about the applications of fluid dynamics in various scenarios.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A cylindrical tank is filled with water that is drained through a smaller exit pipe. If the area of the tank's opening is 10 cm² and the exit pipe's area is 2 cm², how does this relate to the continuity equation? Calculate the velocities given the inlet velocity is 1 m/s.
💡 Hint: Focus on the relationship between area and velocity from the equation.
Question 2
If a fluid with a density of 1000 kg/m³ flows through a control volume with a velocity of 3 m/s, what would be the mass flow rate if the cross-sectional area is 5 m²?
💡 Hint: Apply the definition of mass flow rate from density, area, and velocity.
Challenge and get performance evaluation