Practice Problem 5: Corresponding Model Quantities (1.16) - Dimensional Analysis and Hydraulic Similitude (Contd.,)
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Problem 5: Corresponding Model Quantities

Practice - Problem 5: Corresponding Model Quantities

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Froude number?

💡 Hint: Think about forces that affect fluid flow.

Question 2 Easy

How do you derive the velocity ratio?

💡 Hint: Consider what remains constant between model and prototype.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main purpose of maintaining the same Froude number in models?

To reduce fluid friction
To ensure dynamic similarity
To enhance fluid speed

💡 Hint: Consider the forces acting on fluid in motion.

Question 2

True or False: Distorted models only use uniform scaling.

True
False

💡 Hint: Think of practical laboratory constraints.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A model of a dam has a horizontal scale of 1/300 and vertical scale of 1/75. A prototype height of 15m is scaled down; find the model height.

💡 Hint: Use the vertical scale to adjust the height.

Challenge 2 Hard

Given a prototype discharge of 200m³/s, what is the model discharge with horizontal ratio of 1/300 and vertical ratio of 1/50?

💡 Hint: Pay attention to calculating h_r's exponent.

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