Practice Fluid Mechanics (13.) - Dimensional Homogeneity - Fluid Mechanics - Vol 2

Practice: Fluid Mechanics

Lesson 13.Dimensional Homogeneity

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9 questions

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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What are the three basic dimensions used in dimensional analysis?
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Think of fundamental physical quantities.
Question 2.
Define dimensional homogeneity.
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Consider what makes an equation valid.
3Question 3.
What does dimensional analysis allow us to do?
- A) Simplify equations
- B) Increase the number of experiments
- C) Eliminate the need for data
- D) None of the above
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Think about its purpose in experiments.
4Question 4.
True or False: Dimensional homogeneity ensures different sides of an equation have different dimensions.
- True
- False
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Recall the definition of dimensional homogeneity.
Question 5.
You are tasked to analyze the drag force experienced by a sphere in a flowing liquid. Using Buckingham's Pi theorem, identify the dimensionless parameters involved and outline your experimental approach.
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Consider the fundamental dimensions at play and how they influence the behavior of the fluid.
Question 6.
Create a dimensional analysis for an equation describing the drag force acting on a flat plate submerged in a fluid. Discuss the impact of each variable on the drag force as per the analysis.
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Think about how your choice of area might change with different orientations or conditions.

5 more questions in this section. Enroll free to practise them all.