Practice Integration with Boundary Conditions - 1.3 | 20. Introduction to Turbulent Flow | Hydraulic Engineering - Vol 1
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Knowledge

1.3 - Integration with Boundary Conditions

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What equation defines shear stress in a turbulent flow?

💡 Hint: Identify the relationship between shear stress and friction velocity.

Question 2

Easy

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.

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 relationship between shear stress, velocity, and density in turbulent flow?

  • τ = ρu²
  • τ = ρu*²
  • τ = ρu/2

💡 Hint: Think about how density influences shear stress in fluid flow.

Question 2

True or False: The logarithmic velocity profile can only be derived for laminar flows.

  • True
  • False

💡 Hint: Recall the characteristics of laminar versus turbulent profiles.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation