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Derivation of Basic Transport Equation (A. Ertürk)

Derivation of Basic Transport Equation (A. Ertürk)

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⎛<br />

⎜<br />

⎝<br />

∂C<br />

⎞<br />

⎟<br />

∂t<br />

⎠<br />

reaction<br />

Dimensional Analysis <strong>of</strong><br />

kinetics<br />

[M·L -3 ]·[T -1 ]=[M·L -3 ·T -1 ]<br />

Components<br />

= ∑k<br />

⋅ C<br />

⎛<br />

⎜<br />

⎝<br />

∂C<br />

⎞<br />

⎟<br />

∂t<br />

⎠<br />

sedimentation<br />

= −υ<br />

sedimentation<br />

[L·T -1 ]·[M·L -3·L -1 ]=[M·L -3 ·T -1 ]<br />

⋅<br />

∂C<br />

∂z<br />

⎛<br />

⎜<br />

⎝<br />

∂C<br />

∂t<br />

⎞<br />

⎟<br />

⎠<br />

external<br />

= ±<br />

external<br />

sources<br />

and<br />

sinks<br />

Must be given in [M·L -3 ·T -1 ]<br />

39

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