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Topics in Current Chemistry (2019) 377:22
In the case of a series flow pattern configuration, the average outlet concentration of the previous annular channel is the inlet condition for the next channel.
Equation  (36) was numerically solved applying the finite difference method,
whereas the gas velocity profile was solved analytically. The LSRPA on the
reactor walls was calculated from a surface lamp emission model, considering
a radiation transmission model on the photocatalytic film and support [2]. The
heterogeneous surface reaction rate of perchlorethylene (PCE) had been previously determined in a laboratory-scale, flat-plate photoreactor, and corresponds
to Eq.  (16) of Table  3. Figure  8 shows PCE radial concentration profiles in the
single-annular reactors A, B, and C at different axial positions. The evident concentration radial gradients indicate the existence of important diffusive resistance under the operating conditions in this study. The reported methodology has
allowed us to determine that the optimal photoreactor configuration in terms of
pollutant conversion is the multi-annular series flow reactor.
For continuous wall photoreactors, the plug flow hypothesis is commonly
applied [19, 21, 26, 32, 46, 56, 58]. Then, the species i conservation equation
becomes:
where a v is the ratio of catalytic area to reactor volume.
Figure 9 shows the predictions of acetaldehyde and formaldehyde outlet concentrations versus air flow rate employing the plug flow model in a continuous
flat-plate wall photoreactor, applying a heterogeneous reaction rate corresponding
(40)
⟨
v z
⟩ C i
z
= a v r i ,
Reactor A
R eactor B
Reactor C
2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
C
PCE
/C
in
PCE
radius [cm]
1.6 1.8 2.0 2.2 2.4 2.6
0.0
0.2
0.4
0.6
0.8
1.0
radius [cm]
3.3 3.6 3.9
0.0
0.2
0.4
0.6
0.8
1.0
radius [cm]
Fig. 8 Predicted dimensionless PCE concentration radial gradients. (—) z = 0; (– – –) z = 1/3 Z R ; (- - -)
z = 2/3 Z R ; (· · ·) z = Z R . Reprinted with permission from [53]. Copyright 2007 Elsevier
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