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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define dilatation in your own words.
💡 Hint: Think about how materials change size or shape.
Question 2
Easy
What is the formula for extensional strain in the x-direction?
💡 Hint: It’s based on the change in velocity according to position.
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 dilatation in fluid mechanics?
- Increase in density
- Change in length
- Change in color
💡 Hint: Think about how fluids respond to pressure changes.
Question 2
True or False: Shear strain measures the volume change of a fluid.
- True
- False
💡 Hint: Consider what shear means in layered fluids.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A fluid exhibits velocity components given by \( u = 3x^2 + y \), \( v = 4xz + z^2 \), and \( w = -2y + 5 \). Calculate all components of the strain tensor.
💡 Hint: Look carefully at the derivatives to extract each component.
Question 2
Consider a fluid at rest that experiences uniform expansion. Define the dilatation in terms of volume increase and relate it to the strain rates you learned.
💡 Hint: Remember how volume relates to length in three dimensions.
Challenge and get performance evaluation