Practice Assumptions for Small Values of y - 1.2 | 20. Introduction to Turbulent Flow | Hydraulic Engineering - Vol 1
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Knowledge

1.2 - Assumptions for Small Values of y

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is assumed about shear stress τ at small values of 'y'?

💡 Hint: Think about the conditions near the pipe wall.

Question 2

Easy

What type of velocity profile is derived from the small 'y' assumptions?

💡 Hint: Consider how the velocity changes with distance.

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 τ₀ in the context of turbulent flow?

  • Variable shear stress
  • Constant shear stress at the wall
  • Average shear stress throughout the pipe

💡 Hint: Think about constant values for very close proximity.

Question 2

True or False: The velocity profile for turbulent flow is linear close to the wall.

  • True
  • False

💡 Hint: Analyze the nature of turbulent flow profiles.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider an idealized pipe with a radius of 0.1 m where the centerline velocity is 5 m/s. Calculate the required shear stress at the wall if the velocity at a distance 0.01 m from the wall is known to be 4.5 m/s.

💡 Hint: Use u_max and the velocity defect formula.

Question 2

A turbulent flow pipe has a surface roughness height of 0.2 mm and the velocity defect observed is 2 m/s. Estimate the effects of different layers on the flow profile.

💡 Hint: Analyze the characteristics of each flow layer in relation to surface roughness.

Challenge and get performance evaluation