1.6 - Problem Solving: Average Velocity in Pipe
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Practice Questions
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What is the definition of average velocity in fluid mechanics?
💡 Hint: Consider how velocity changes across the area.
What does the term frictional velocity refer to?
💡 Hint: Think of forces acting on the fluid due to surface interaction.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does V_average represent?
💡 Hint: Think about how averages are calculated.
True or False: The power law velocity profile can calculate wall shear stress.
💡 Hint: Consider the implications of infinite gradients at walls.
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Challenge Problems
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A smooth pipe carries water with a given profile at different sections. If the max velocity at the center is 10 m/s, calculate the average velocity across various diameter sections.
💡 Hint: Set your bounds for integration according to the sections' locations.
Two pipes, one rough and one smooth, both have the same flow rate, analyze the average velocity and discuss what implications this has for engineering designs.
💡 Hint: Look at the surface area impacts and friction factors.
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