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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37<br />
The <strong>Transport</strong> <strong>Equation</strong> for non<br />
conservative materials with<br />
sedimentation<br />
<strong>Equation</strong> 34<br />
+ ∑ ⋅<br />
∂<br />
∂<br />
⋅<br />
+<br />
∂<br />
∂<br />
⋅<br />
−<br />
∂<br />
∂<br />
⋅<br />
+<br />
∂<br />
∂<br />
⋅<br />
−<br />
∂<br />
∂<br />
⋅<br />
+<br />
∂<br />
∂<br />
⋅<br />
= −<br />
∂<br />
∂<br />
C<br />
k<br />
z<br />
C<br />
D<br />
z<br />
C<br />
w<br />
y<br />
C<br />
D<br />
y<br />
C<br />
v<br />
x<br />
C<br />
D<br />
x<br />
C<br />
u<br />
t<br />
C<br />
2<br />
2<br />
z<br />
2<br />
2<br />
y<br />
2<br />
2<br />
x<br />
<strong>Equation</strong> 33<br />
z<br />
C<br />
C<br />
k<br />
z<br />
C<br />
D<br />
z<br />
C<br />
w<br />
y<br />
C<br />
D<br />
y<br />
C<br />
v<br />
x<br />
C<br />
D<br />
x<br />
C<br />
u<br />
t<br />
C<br />
sedimentation<br />
2<br />
2<br />
z<br />
2<br />
2<br />
y<br />
2<br />
2<br />
x<br />
∂<br />
∂<br />
⋅<br />
−<br />
⋅<br />
+<br />
∂<br />
∂<br />
⋅<br />
+<br />
∂<br />
∂<br />
⋅<br />
−<br />
∂<br />
∂<br />
⋅<br />
+<br />
∂<br />
∂<br />
⋅<br />
−<br />
∂<br />
∂<br />
⋅<br />
+<br />
∂<br />
∂<br />
⋅<br />
= −<br />
∂<br />
∂<br />
∑<br />
υ