1.2 - Assumptions for Small Values of y
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is assumed about shear stress τ at small values of 'y'?
💡 Hint: Think about the conditions near the pipe wall.
What type of velocity profile is derived from the small 'y' assumptions?
💡 Hint: Consider how the velocity changes with distance.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is τ₀ in the context of turbulent flow?
💡 Hint: Think about constant values for very close proximity.
True or False: The velocity profile for turbulent flow is linear close to the wall.
💡 Hint: Analyze the nature of turbulent flow profiles.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.