Making a differential equation dimensionless

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Mark J. McCready
Professor and Chair of Chemical Engineering
University of Notre Dame
Notre Dame IN 46556

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Version:  11/06/00
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Dimensionless equations

How to make derivative terms nondimensional

Let's try some substitutions.

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

How big are the terms in a differential equation?

Converted by Mathematica      November 6, 2000