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Derivation of Basic Transport Equation (A. Ertürk)

Derivation of Basic Transport Equation (A. Ertürk)

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The <strong>Transport</strong> <strong>Equation</strong><br />

Rearrangements<br />

∂C<br />

∂t<br />

=<br />

1<br />

Δx<br />

⋅<br />

⎛<br />

⎜<br />

⎝<br />

J<br />

−<br />

J<br />

−<br />

∂J<br />

∂x<br />

⎞<br />

⋅ Δx⎟<br />

⎠<br />

1 1<br />

<strong>Equation</strong> 7<br />

Finally, the most general transport equation<br />

in x direction is:<br />

∂C<br />

∂t<br />

=<br />

−<br />

∂J<br />

∂x<br />

<strong>Equation</strong> 8<br />

10

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