Practice First Problem: Displacement, Momentum and Energy Thickness - 6.1 | 3. Boundary Layer Theory (Contd.,) | Hydraulic Engineering - Vol 2
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First Problem: Displacement, Momentum and Energy Thickness

6.1 - First Problem: Displacement, Momentum and Energy Thickness

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is displacement thickness?

💡 Hint: Think about the effect of viscosity on flow.

Question 2 Easy

State the formula for momentum thickness.

💡 Hint: Recall the relationship between momentum and flow profile.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does displacement thickness quantify?

Mass flow in boundary layer
Velocity change outside the boundary
Kinetic energy loss

💡 Hint: Think about the effects of fluid viscosity.

Question 2

True or False: Higher energy thickness indicates lower efficiency due to energy losses.

True
False

💡 Hint: Consider what energy thickness measures.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a velocity distribution of u/U = (y/δ)², derive the expressions for displacement thickness, momentum thickness, and energy thickness.

💡 Hint: Start with displacement thickness first, then substitute into the other forms.

Challenge 2 Hard

Analyze a scenario where viscosity doubles, and calculate how this affects displacement and momentum thickness in a given flow profile.

💡 Hint: Evaluate how viscosity influences flow properties in your equations.

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Reference links

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