Dimensional Analysis and the Pi Theorem

@article{Curtis1982DimensionalAA,
  title={Dimensional Analysis and the Pi Theorem},
  author={W. D. Curtis and J. David Logan and Willard A. Parker},
  journal={Linear Algebra and its Applications},
  year={1982},
  volume={47},
  pages={117-126}
}
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91 Citations
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91 Citations

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References

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Dimensional Analysis and the Buckingham Pi Theorem
Working from a simple example of a dimensional transformation, the essential elements are identified, and an abstract prototype transformation is defined. With the aid of careful definitions and a…
Similarity methods for differential equations
1. Ordinary Differential Equations.- 1.0. Ordinary Differential Equations.- 1.1. Example: Global Similarity Transformation, Invariance and Reduction to Quadrature.- 1.2. Simple Examples of Groups of…
The air wave surrounding an expanding sphere
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When the surface of a sphere vibrates in any assigned manner the spherical sound waves which are propagated outwards can be represented by wellknown formulae provided that the motion is such that…
On Physically Similar Systems; Illustrations of the Use of Dimensional Equations