Talk:Non-dimensionalization and scaling of the Navier–Stokes equations

This article was nominated for deletion on 11 September 2012 (UTC). The result of the discussion was keep.

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Unbalanced

The article gives only one non-dimensionalisation (with an unspecified Reynolds number) at the moment, while there are many possibilities (for different flow cases), see for example the sources mentioned under "Further reading" and the deletion discussion. This does not give the reader a view on the tremendous potential provided by the use of dimensional analysis, scaling and non-dimensionalisation – in model experiments, numerical simulations as well as mathematical modelling. -- Crowsnest (talk) 22:10, 27 September 2012 (UTC)[reply]

Coordinate systems

I don't see much value in expressing the equations in different coordinate systems. What does that tell us about non-dimensionalization and scaling? RockMagnetist (talk) 22:51, 27 September 2012 (UTC)[reply]

Agreed - it doesn't make any difference which coordinate system is used, the physical quantities (scalar, vector, tensor...) can be non-dimensionalized independent of coordinates (the only reason I made edits in those sections was to fix syntax errors). As Crowsnest has said many times, there are countless conventions, so expressing each in a different coordinate system would multiply the amount of content for no understanding at all. Maschen (talk) 10:11, 28 September 2012 (UTC)[reply]