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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The Advection-Dispersion <strong>Equation</strong><br />
∂C<br />
∂t<br />
=<br />
−<br />
∂<br />
∂x<br />
⎛<br />
⎜<br />
⎝<br />
∂x<br />
∂t<br />
⋅<br />
⎞<br />
C⎟<br />
⎠<br />
−<br />
∂<br />
∂x<br />
⎛<br />
⎜<br />
⎝<br />
−<br />
D<br />
⋅<br />
∂C<br />
∂x<br />
⎞<br />
⎟<br />
⎠<br />
<strong>Equation</strong> 29<br />
Velocity u in<br />
x direction<br />
⋅ 2<br />
∂C<br />
u ∂ x<br />
2<br />
∂ C<br />
− D ⋅<br />
∂ x<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 />
32