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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Δx<br />
I<br />
II<br />
Q<br />
=<br />
C<br />
⋅<br />
Δx<br />
⋅<br />
A<br />
Number <strong>of</strong><br />
particles passing<br />
from I to II in Δt<br />
x<br />
Division by cross-section area:<br />
Q<br />
A ⋅ Δt<br />
=<br />
J<br />
ADV<br />
=<br />
Δx<br />
Δt<br />
⋅ C<br />
Particle<br />
Division by time:<br />
Q<br />
Δt<br />
=<br />
C<br />
⋅ Δx<br />
⋅<br />
Δt<br />
A<br />
Number <strong>of</strong><br />
particles<br />
passing from I<br />
to II in unit time<br />
Number <strong>of</strong> particles passing from I to II<br />
in unit time per unit area = FLUX<br />
J<br />
ADV<br />
=<br />
lim<br />
Δt→0<br />
⎛<br />
⎜<br />
⎝<br />
Δx<br />
Δt<br />
⋅<br />
C<br />
⎞<br />
⎟<br />
⎠<br />
=<br />
∂x<br />
∂t<br />
⋅<br />
C<br />
Advective<br />
flux<br />
17<br />
<strong>Equation</strong> 12
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