Derivation of Basic Transport Equation (A. Ertürk)
Derivation of Basic Transport Equation (A. Ertürk)
Derivation of Basic Transport Equation (A. Ertürk)
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Dimensional Analysis <strong>of</strong> the<br />
Advection-Dispersion <strong>Equation</strong><br />
∂C<br />
∂t<br />
=<br />
−u<br />
⋅<br />
∂C<br />
∂x<br />
+<br />
D<br />
⋅<br />
∂<br />
2<br />
∂x<br />
C<br />
2<br />
<strong>Equation</strong> 30<br />
Concentration<br />
over time<br />
[M·L -3 ·T -1 ]<br />
Velocity times<br />
concentration<br />
over space<br />
[L·T -1 ]·[M·L -3·L -1 ]<br />
[L 2·T -1 ]·[M·L -3·L -2 ]<br />
= [M·L -3 ·T -1 ]<br />
= [M·L -3 ·T -1 ]<br />
33