1.3 - Integration with Boundary Conditions
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Practice Questions
Test your understanding with targeted questions
What equation defines shear stress in a turbulent flow?
💡 Hint: Identify the relationship between shear stress and friction velocity.
What is the value of u* if τ₀ = 153.6 N/m² and ρ = 1000 kg/m³?
💡 Hint: Remember to apply the square root function.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between shear stress, velocity, and density in turbulent flow?
💡 Hint: Think about how density influences shear stress in fluid flow.
True or False: The logarithmic velocity profile can only be derived for laminar flows.
💡 Hint: Recall the characteristics of laminar versus turbulent profiles.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A fluid with a shear stress of 200 N/m² and density of 800 kg/m³ flows through a pipe. Determine u*, the friction velocity, and classify if the boundary is smooth or rough if k is given as 5 mm.
💡 Hint: Ensure to check the kinematic viscosity beforehand.
In a turbulent flow within a circular pipe, if the radius is halved, how does this affect τ and u_max assuming constant flow rate?
💡 Hint: Consider conservation of flow equation and continuity as you derive.
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