Kinetics and Energetics of Photosynthetic Micro-Organisms in Photobioreactors
193
1.0
~d
t,l
,",'
0.8
--o
>.,,,
Z
,,, ~
0.4
--Z
Z.~
0.2
0,
~v~
...... ___~ ~ ~-------- ._I~
Numerica; gridding for L : .05 m
.... NumeMcal gMdding for L = .08 m
0
0,5
1.0
1.5
BIOMASS
CONCENTRATION
(kg.m -3)
Fig. 8. Calculated vs experimental values of the dimensionless volumetric rate of radiant energy
absorbed vs Spirulina biomass concentration obtained in two rectangular photobioreactors of
different optical thicknesses. Solid and dotted lines stand for the numerical three-dimensional
gridding for the determination of the volumetric rate of radiant energy absorbed with a finite
element method (resolution of the general form of the equation of radiative transfer, Eq. 95).
(Permission from AIChE)
1.0
i,i
m,
_. ~ o.o
~ ~
0.6
,--1
~ '"
0.4
-J
Z'~
o~ <
0.2
Z~
""'~'ry
Mass coefficients for each wavelength
/
._____ 9 Mean mass coefficients
0
I
i
t
0
0.5
1.0
i .5
2.0
BIOMASS
CONCENTRATION
(kg.m -3)
Fig. 9. Numerical three-dimensional calculation of the dimensionless volumetric rate of radiant
energy absorbed vs Spirulina biomass concentration for a cylindrical photobioreactor. Comparison
between the utilization of absorption and scattering mass coefficients for each wavelength (solid line),
and mean global mass coefficients ( dotted lines). (Permission from AIChE)