#
Making a differential equation dimensionless

This notebook has been written in *Mathematica *by

Mark J. McCready

Professor and Chair of Chemical Engineering

University of Notre Dame

Notre Dame IN 46556

USA

mjm@nd.edu

http://www.nd.edu/~mjm/

It is copyrighted to the extent allowed by whatever laws pertain to the World Wide Web and the Internet.

I would hope that as a professional courtesy that this notice remain visible to other users.

There is no charge for copying and dissemination

Version: 11/06/00

More recent versions of this notebook should be available at the web site:

http://www.nd.edu/~mjm/dimensionless.nb

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Dimensionless equations

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How to make derivative terms nondimensional

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Let's try some substitutions.

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We can see how a typical nondimensionalization for the Navier-Stokes Equations would turn out. (Right side are positive terms.)

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How big are the terms in a differential equation?

Converted by *Mathematica*
November 6, 2000