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 <strong>Transport</strong> <strong>Equation</strong><br />
We are living in a 3 dimensional space,<br />
where the same rules for the general mass<br />
balance and transport are valid in all<br />
dimensions. Therefore<br />
C<br />
∂t<br />
∂<br />
3<br />
=<br />
−<br />
∑<br />
i= 1 ∂<br />
∂<br />
x<br />
i<br />
J<br />
i<br />
x 1 = x<br />
x 2 = y<br />
x 3 = z<br />
<strong>Equation</strong> 9<br />
∂C<br />
∂t<br />
=<br />
−<br />
⎛<br />
⎜<br />
⎝<br />
∂<br />
∂x<br />
J<br />
x<br />
+<br />
∂<br />
∂y<br />
J<br />
y<br />
+<br />
∂<br />
∂z<br />
J<br />
z<br />
⎞<br />
⎟<br />
⎠<br />
<strong>Equation</strong> 10<br />
11