Difference between revisions of "User:Hoogs/Sandpit"

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{{Box File|test.sh|
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Define the ''convective'', ''total'' or ''material'' [http://en.wikipedia.org/wiki/Convective_derivative ''material'' derivative] operator as
<pre>
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this is a test
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<center>
</pre>}}
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<math>
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\frac{D}{Dt} = \frac{\partial}{\partial t} + \mathbf{U} \cdot \nabla
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</math>
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</center>
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This relates the rate of change of a quantity within an infinitesimal control fluid volume that we would witness if we were riding with it along a streamline (Lagrangian viewpoint), to the rate of change of the quantity that a stationary observer would witness from their vantage point on the streamline (Eulerian viewpoint).

Latest revision as of 00:00, 21 September 2009

Define the convective, total or material material derivative operator as


\frac{D}{Dt} = \frac{\partial}{\partial t} + \mathbf{U} \cdot \nabla

This relates the rate of change of a quantity within an infinitesimal control fluid volume that we would witness if we were riding with it along a streamline (Lagrangian viewpoint), to the rate of change of the quantity that a stationary observer would witness from their vantage point on the streamline (Eulerian viewpoint).