Buckingham Pi theorem [Fluid Mechanics #6]

In this video, we introduce the Buckingham-Pi Theorem. This is a procedural way to find non-dimensional numbers from a group of parameters in a problem. We go through the process, step-by-step, and find the non-dimensional parameters for examples in both Hydrodynamics and Aerodynamics. Common numbers we see pop out are the Reynolds number, Euler number, and aerodynamic coefficients. This is an important tool to have in your belt when approaching new problems, as non-dimensional numbers are key for analysis and scaling. Free downloadable notes (PDF with white background) can be found at my website: https://sites.udel.edu/vanburen/educa...

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Similitude [Fluid Mechanics #7]
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Similitude [Fluid Mechanics #7]

Fluid Mechanics: Dimensional Analysis (23 of 34)
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Fluid Mechanics: Dimensional Analysis (23 of 34)

Non-dimensional numbers [Fluid Mechanics #5]
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Non-dimensional numbers [Fluid Mechanics #5]

Dimensional Analysis in Fluid Mechanics: Buckingham Pi Theorem
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Dimensional Analysis in Fluid Mechanics: Buckingham Pi Theorem

buckingham pi theorem (determining pi terms)
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buckingham pi theorem (determining pi terms)

Dimensionless Aerodynamic Coefficients
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Dimensionless Aerodynamic Coefficients

Dimensional Analysis
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Dimensional Analysis

Buckingham Pi Method (Example)
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Buckingham Pi Method (Example)

We're 99.9% sure this pattern is true, but no one can prove it
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We're 99.9% sure this pattern is true, but no one can prove it

Model Studies and Similitude - 4 Example Problems using Reynolds Number
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Model Studies and Similitude - 4 Example Problems using Reynolds Number

Buckingham Pi Theorem Application
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Buckingham Pi Theorem Application

Buckingham's Pie Theorem
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Buckingham's Pie Theorem

Introductory Fluid Mechanics L14 p4 - Buckingham Pi Example - Drag on Sphere
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Introductory Fluid Mechanics L14 p4 - Buckingham Pi Example - Drag on Sphere

Fluid Mechanics 10.2 - Buckingham Pi Theorem and Steps for obtaining Pi terms
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Fluid Mechanics 10.2 - Buckingham Pi Theorem and Steps for obtaining Pi terms

Buckingham Pi Dimensional Analysis - simplifying problems by eliminating units
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Buckingham Pi Dimensional Analysis - simplifying problems by eliminating units

8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure
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8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure

Introductory Fluid Mechanics L14 p1 - Dimensional Analysis
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Introductory Fluid Mechanics L14 p1 - Dimensional Analysis

Buckingham π theorem / dimensional analysis
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Buckingham π theorem / dimensional analysis

Determining Pi Terms (Buckingham Pi Theorem)
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Determining Pi Terms (Buckingham Pi Theorem)