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MathGroup Archive 2002

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Re: finding independent variable groups

  • To: mathgroup at smc.vnet.net
  • Subject: [mg32622] Re: finding independent variable groups
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Fri, 1 Feb 2002 02:02:23 -0500 (EST)
  • Organization: University of Western Australia
  • References: <a2e2q2$qmp$1@smc.vnet.net> <a2lkud$hu0$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Ioan Alexandre Romoscanu <romoscanu at imes.mavt.ethz.ch> wrote:

> The formulae I need to manipulate are more complicated, and the goel
> is to identify recurrect groups. According to Buckingham's Pi theorem,
> a physical value per definition depends on a finite number of
> non-dimensional parameters (see this nice page about this:
> http://scienceworld.wolfram.com/physics/BuckinghamsPiTheorem.html)
> 
> I have a large formula describing a complex material property. It is
> really large (well, under 1 page, so to speak), so looking for the
> combined non-dimensional group is tedious, if not impossible. I wonder
> if this is doable with Mathematica.
> 
> In other words, I would like Mathematica to find the (x/y) group in
> the example. Simplify does not work, but since I need only a partial
> simplification, I wonder if this is not still doable.

There is a Notebook on the Buckingham Pi method by Mark J. McCready at
http://www.nd.edu/~mjm/dimensional.analysis.nb.

Cheers,
   Paul

-- 
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Paul Abbott                                   Phone: +61-8-9380-2734
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            God IS a weakly left-handed dice player
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