https://github.com/cheind/py-dimensional-analysis

Dimensional analysis and modeling in Python
https://github.com/cheind/py-dimensional-analysis

Last synced: 11 months ago
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Dimensional analysis and modeling in Python

• Host: GitHub
• URL: https://github.com/cheind/py-dimensional-analysis
• Owner: cheind
• License: mit
• Created: 2021-01-06T10:12:01.000Z (over 5 years ago)
• Default Branch: develop
• Last Pushed: 2021-09-08T16:17:39.000Z (almost 5 years ago)
• Last Synced: 2024-10-16T04:06:31.030Z (over 1 year ago)
• Language: Python
• Size: 977 KB
• Stars: 4
• Watchers: 2
• Forks: 1
• Open Issues: 1
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# py-dimensional-analysis

This Python package addresses physical dimensional analysis. In

particular, `py-dimensional-analysis` calculates from a given system of

(dimensional) variables those products that yield a desired target

dimension.

The following example illustrates how the variables mass, force, time

and pressure must relate to each other in order to produce the dimension

length\*time.

``` python

import danalysis as da

si = da.standard_systems.SI         # predefined standard units

s = da.Solver(

    {

        'a' : si.M,                 # [a] is mass

        'b' : si.L*si.M*si.T**-2,   # [b] is force (alt. si.F)

        'c' : si.T,                 # [c] is time

        'd' : si.Pressure           # [d] is pressure

    },

    si.L*si.T                       # target dimension

)

print(s.solve())

```

Which prints

    Found 2 variable products of variables

    {

            a:Q(M),

            b:Q(L*M*T**-2),

            c:Q(T),

            d:Q(L**-1*M*T**-2)

    }, each of dimension L*T:

            1: [a*c**-1*d**-1] = L*T

            2: [b**0.5*c*d**-0.5] = L*T

This library is based on (Szirtes 2007), and also incorporates ideas and

examples from (Santiago 2019; Sonin 2001).

## Solver

The solver is based on the Buckingham’s *π* theorem. For more information, see (Szirtes 2007).

## References





Santiago, Juan G. 2019. *A First Course in Dimensional Analysis:

Simplifying Complex Phenomena Using Physical Insight*. MIT Press.





Sonin, Ain A. 2001. “Dimensional Analysis.” Technical report,

Massachusetts Institute of Technology.

.





Szirtes, Thomas. 2007. *Applied Dimensional Analysis and Modeling*.

Butterworth-Heinemann.