Practice Kinematic Viscosity Ratio (1.10) - Dimensional Analysis and Hydraulic Similitude (Contd.,)
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Kinematic Viscosity Ratio

Practice - Kinematic Viscosity Ratio

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Froude number a ratio of?

💡 Hint: Remember what dominates in scenarios involving gravity.

Question 2 Easy

Define dynamic similarity.

💡 Hint: Think about the conditions necessary for accurate model testing.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What must be equal for both a model and prototype if gravity is the dominant force?

Froude number
Reynolds number
Kinematic viscosity ratio

💡 Hint: Think about which forces dominate in a gravity-driven flow.

Question 2

True or False: The Reynolds number is used to compare the effects of viscous forces in fluid flow.

True
False

💡 Hint: Focus on the forces involved in fluid mechanics.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A hydraulic engineer is designing a model of a new bridge over a river. If the prototype's Froude number is 4 and the model must match it while simulating conditions in a lab, how should the engineer scale the model length to achieve this?

💡 Hint: Reflect on the mathematical relationships between Froude numbers and dimensions.

Challenge 2 Hard

Given a prototype with kinematic viscosity of 0.001 m²/s and density of 1000 kg/m³, what is the necessary kinematic viscosity for a model that has a different density of 800 kg/m³ to maintain a similarity in scale?

💡 Hint: Keep in mind how viscosity ratios and densities interact in flow.

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