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2 cards from this section. Quick, good the night before a test.
What does dimensional analysis help us achieve?
Think about what it allows us to do with physical quantities.
Name the steps in the Buckingham Pi theorem.
Count the main actions you take in order.
What is the formula for calculating the number of Pi terms using Buckingham's theorem?
Remember the relationship expressed in Buckingham's theorem.
Is it necessary for Pi terms to be dimensionless?
Consider the definition of a dimensionless quantity.
Consider the variables: wave period (T), wavelength (λ), depth (D), fluid density (ρ), and gravity (g). Derive the dimensionless form of the functional relationship.
Focus on ensuring that the dimensions cancel out.
Given flow conditions for different pipe diameters, develop a dimensional analysis to compare pressure drops as a function of diameter, density, and viscosity.
Use the Buckingham Pi theorem to structure your analysis.
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