Practice Basic Dimensions - 13.1.3 | 13. Dimensional Homogeneity | Fluid Mechanics - Vol 2
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13.1.3 - Basic Dimensions

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the basic dimension for time?

💡 Hint: It's one of the three fundamental dimensions.

Question 2

Easy

Define dynamic viscosity.

💡 Hint: Think of how jam behaves compared to water.

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 are the three basic dimensions in fluid mechanics?

  • Mass
  • Velocity
  • Density
  • Mass
  • Length
  • Time
  • Force
  • Pressure
  • Volume

💡 Hint: Think about the core measurements we rely on in physics.

Question 2

Is dimensional homogeneity important in engineering equations?

  • True
  • False

💡 Hint: Consider what happens if dimensions on both sides of an equation don't match.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You are tasked with designing an experiment to analyze the drag force on a sphere in two different fluids: oil and water. How would you go about selecting your variables and constructing dimensionless groups for this experiment?

💡 Hint: Recall the relevant variables and how to apply Buckingham's theorem to simplify your experimental design.

Question 2

Describe the process of using dimensional analysis to estimate the time it takes for a viscous fluid to flow through a pipe of known diameter and length. What dimensionless groups might be useful here?

💡 Hint: Consider how different fluid characteristics interact with the geometric properties of the pipe.

Challenge and get performance evaluation