Derivation of Basic Transport Equation (A. Ertürk)

36
The Advection-Dispersion Equation
for non conservative materials
Equation 32
+ ∑ ⋅
∂
∂
⋅
+
∂
∂
⋅
−
∂
∂
⋅
+
∂
∂
⋅
−
∂
∂
⋅
+
∂
∂
⋅
= −
∂
∂
C
k
z
C
D
z
C
w
y
C
D
y
C
v
x
C
D
x
C
u
t
C
2
2
z
2
2
y
2
2
x
Equation 33
2
2
z
2
2
y
2
2
x
z
C
D
z
C
w
y
C
D
y
C
v
x
C
D
x
C
u
t
C
∂
∂
⋅
+
∂
∂
⋅
−
∂
∂
⋅
+
∂
∂
⋅
−
∂
∂
⋅
+
∂
∂
⋅
= −
∂
∂