Practice Continuity Equation (3d Cartesian Form) (6) - Fluid Kinematics

Practice: Continuity Equation (3D Cartesian Form)

Lesson 6Fluid Kinematics

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8 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define the continuity equation.
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Look for terms in fluid dynamics related to mass flow.
Question 2.
What does incompressible flow imply?
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Think about what happens to volume in incompressible fluids.
3Question 3.
What is the continuity equation in fluid dynamics?
- ∂ρ/∂t = 0
- ∂ρ/∂t + ∇⋅(ρV⃗) = 0
- ∂V/∂t + ∇⋅(V) = 0
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Identify the equation specific to mass flow dynamics.
4Question 4.
True or False: The continuity equation applies only to compressible flows.
- True
- False
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Think about the applications of fluid dynamics in various scenarios.
Question 5.
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.
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Focus on the relationship between area and velocity from the equation.
Question 6.
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?
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Apply the definition of mass flow rate from density, area, and velocity.

4 more questions in this section. Enroll free to practise them all.