Chemistry Reference
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solid wall
x
y
bulk suspension
u
(
x
,
y
)
developing concentration layer
membrane
V
W
(
X
)
Figure 7.16
Schematic representation of ultrafiltration through one wall in a flat plate
system.
channel ultrafiltration module with one porous wall, the appropriate governing
equations are [142, 143]
Continuity equation:
∂
u
x
+
∂v
y
=
0
,
(7.38)
∂
∂
η
ρ
Momentum equation:
u
∂
u
x
+
v
∂
u
1
ρ
∂
p
∂
∂
∂
u
y
=−
x
+
,
(7.39)
∂
∂
∂
y
∂
y
D
∂
Mass balance:
u
∂
x
+
v
∂
c
c
∂
∂
c
y
=
.
(7.40)
∂
∂
y
∂
y
It is worth noting here that
u
and
are the bulk flow velocities; i.e. the con-
vective transport of the fluid and particles is the same. Notice that the proper-
ties of the nano-fluid, viscosity, density and diffusion coefficient, are included
in these equations. Which equations are subject to the following boundary
conditions:
v
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