Practice Dimensions Of Fluid Mechanics Properties (15.2.2) - Dimension Analysis and Similarity

Practice: Dimensions of Fluid Mechanics Properties

Lesson 15.2.2Dimension Analysis and Similarity

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8 questions

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6 sample questions

Question 1.
What is dimensional analysis?
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Consider its use in checking equations.
Question 2.
Name the three types of similarities discussed.
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Think about model constructions and fluid movement.
3Question 3.
What does dimensional analysis help verify?
- The equations are dimensionless
- The equations are dimensionally homogeneous
- The equations are always correct
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It relates to consistency in physics.
4Question 4.
True or False: Geometric similarity requires identical forces in models and prototypes.
- True
- False
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Consider what geometric similarity really pertains to.
Question 5.
A model of a river dam is tested in a lab where the flow rate is reduced by a factor of 100. What should be the scaling factors for length and discharge to maintain similarity?
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Remember scaling laws for hydrodynamic similarity.
Question 6.
Explain how to validate Bernoulli's equation dimensionally using an example from a fluid flow situation.
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Focus on units for pressure (Pa), velocity (m/s), and height (m).

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