6 - Continuity Equation (3D Cartesian Form)
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Practice Questions
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Define the continuity equation.
💡 Hint: Look for terms in fluid dynamics related to mass flow.
What does incompressible flow imply?
💡 Hint: Think about what happens to volume in incompressible fluids.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the continuity equation in fluid dynamics?
💡 Hint: Identify the equation specific to mass flow dynamics.
True or False: The continuity equation applies only to compressible flows.
💡 Hint: Think about the applications of fluid dynamics in various scenarios.
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Challenge Problems
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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.
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.
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