13.3.2 - Non-Dimensional Analysis
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Practice Questions
Test your understanding with targeted questions
Define dimensional homogeneity in your own words.
💡 Hint: Focus on the importance of units being consistent.
What is Buckingham's Pi Theorem used for?
💡 Hint: Think about the number of variables and dimensions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does dimensional homogeneity ensure in an equation?
💡 Hint: Think about how you check units across an equation.
True or False: The Reynolds number is a fundamental dimension.
💡 Hint: Recall the definitions of dimensions vs groups.
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Challenge Problems
Push your limits with advanced challenges
A new fluid is introduced for an experiment involving drag on a sphere. The density of the fluid is 1200 kg/m³, and the dynamic viscosity is 0.0012 Pa.s. Calculate the dimensionless Reynolds number if the diameter is 0.1 m and the flow velocity is 3 m/s.
💡 Hint: Recall the formula for Reynolds number and substitute the values properly.
Using Buckingham's Pi Theorem, if you have 6 variables in a fluid dynamics problem with 3 essential dimensions, how many independent dimensionless groups can you find? Explain your reasoning.
💡 Hint: Remember n is the count of variables, k is the number of dimensions.
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