Part B | 9.6
292 Part B Tools and Methods in Marine Biotechnology
f
Fractional photoperiod for illumination, h light
on (24 h)
1
F A
Molar flow rate of CO 2 in the inlet aeration gas,
mol CO 2 h
1
H
Henry’s law constant for dissolved CO 2 in seawater medium, atm L mol
1
k c
Light attenuation constant for liquid cell suspension culture, L (g cells cm)
1
k L a
Volumetric mass transfer coefficient for CO 2 ,
h
1
k w
Light attenuation constant for transparent or
translucent vessel wall material, cm
1
K A
Dissolved CO 2 concentration at half saturation,
mol L
1
K i
Photoinhibition constant, m
2 s mol
1 photons
K N
Dissolved limiting nutrient concentration at half
saturation, mol L
1
I
Light intensity incident to photosynthetic cell,
mol photons m
2 s
1
I k
Light intensity at half saturation, mol photons m
2 s
1
I m
Mean light intensity delivered to liquid suspension culture, mol photons m
2 s
1
I o
Light intensity incident to liquid suspension
culture inside vessel, mol photons m
2 s
1
I
0
o
Light intensity incident to outer vessel wall surface, mol photons m
2 s
1
I.z/
Light intensity distribution in response to light
attenuation, mol photons m
2 s
1
L
Light penetration path length for planar photobioreactor, or length of tubing in the tubular
section, cm or m
l w
Wall thickness of transparent or translucent vessel material, cm or m
P A
Partial pressure of CO 2 in the aeration gas, Pa
or atm
Q A
Volumetric consumption rate of dissolved CO 2
by cell suspension culture, mol L
1 h
1
r
Radial position within cylindrical vessel, cm or
m
R
Outer radius of cylindrical vessel, cm or m
R p
Recycle ratio in continuous flow tubular recycle
photobioreactor, v o =v p
r X
Biomass production rate, g cells L
1 h
1
t
Cultivation time, h or day
u gs
Superficial gas velocity, volumetric aeration gas
flow rate divided by bioreactor cross-sectional
area, m s
1
v
Bulk linear velocity of the liquid culture flowing
through the tube (volumetric flow rate divided
by cross-sectional area), m s
1
v a
Volumetric flow rate of the aeration gas, L h
1
v m
Fresh medium addition to continuous flow tubular recycle photobioreactor, L h
1
v o
Volumetric flow rate of liquid suspension culture through tubular section (tubular photobioreactor), L s
1
v o
Volumetric flow rate of liquid medium added to
continuous photobioreactor, L h
1
v p
Volumetric flow rate of product suspension
withdrawn from continuous flow tubular recycle photobioreactor, L h
1
V
Total liquid volume of culture, L
V a
Liquid volume of culture in aeration tank of
tubular photobioreactor, L
V t
Liquid volume of culture in tubular section of
tubular photobioreactor, L
Y c
Specific chlorophyll content of biomass,
mg chl a g
1 cells
Y X=CO2 Biomass yield coefficient based on CO 2 consumption, g cells mol
1 CO 2
Y X=N Biomass yield coefficient based on limiting nutrient consumption, g cells mol
1 nutrient
z
Position along light path in planar photobioreactor or axial position down length of tubing for
tubular photobioreactor, m
Greek Letters.
˛
Number of illumination planes
Specific growth rate of liquid suspension culture,
h
1
0
Specific growth rate defined in (9.12), h
1
c Apparent viscosity of liquid suspension culture,
g cm
1 sec
1
max Specific growth rate of liquid suspension culture
at saturation light intensity, h
1
c Apparent density of liquid suspension culture,
g cm
3
tube Residence time of culture inside tubular section,
h
292 Part B Tools and Methods in Marine Biotechnology
f
Fractional photoperiod for illumination, h light
on (24 h)
1
F A
Molar flow rate of CO 2 in the inlet aeration gas,
mol CO 2 h
1
H
Henry’s law constant for dissolved CO 2 in seawater medium, atm L mol
1
k c
Light attenuation constant for liquid cell suspension culture, L (g cells cm)
1
k L a
Volumetric mass transfer coefficient for CO 2 ,
h
1
k w
Light attenuation constant for transparent or
translucent vessel wall material, cm
1
K A
Dissolved CO 2 concentration at half saturation,
mol L
1
K i
Photoinhibition constant, m
2 s mol
1 photons
K N
Dissolved limiting nutrient concentration at half
saturation, mol L
1
I
Light intensity incident to photosynthetic cell,
mol photons m
2 s
1
I k
Light intensity at half saturation, mol photons m
2 s
1
I m
Mean light intensity delivered to liquid suspension culture, mol photons m
2 s
1
I o
Light intensity incident to liquid suspension
culture inside vessel, mol photons m
2 s
1
I
0
o
Light intensity incident to outer vessel wall surface, mol photons m
2 s
1
I.z/
Light intensity distribution in response to light
attenuation, mol photons m
2 s
1
L
Light penetration path length for planar photobioreactor, or length of tubing in the tubular
section, cm or m
l w
Wall thickness of transparent or translucent vessel material, cm or m
P A
Partial pressure of CO 2 in the aeration gas, Pa
or atm
Q A
Volumetric consumption rate of dissolved CO 2
by cell suspension culture, mol L
1 h
1
r
Radial position within cylindrical vessel, cm or
m
R
Outer radius of cylindrical vessel, cm or m
R p
Recycle ratio in continuous flow tubular recycle
photobioreactor, v o =v p
r X
Biomass production rate, g cells L
1 h
1
t
Cultivation time, h or day
u gs
Superficial gas velocity, volumetric aeration gas
flow rate divided by bioreactor cross-sectional
area, m s
1
v
Bulk linear velocity of the liquid culture flowing
through the tube (volumetric flow rate divided
by cross-sectional area), m s
1
v a
Volumetric flow rate of the aeration gas, L h
1
v m
Fresh medium addition to continuous flow tubular recycle photobioreactor, L h
1
v o
Volumetric flow rate of liquid suspension culture through tubular section (tubular photobioreactor), L s
1
v o
Volumetric flow rate of liquid medium added to
continuous photobioreactor, L h
1
v p
Volumetric flow rate of product suspension
withdrawn from continuous flow tubular recycle photobioreactor, L h
1
V
Total liquid volume of culture, L
V a
Liquid volume of culture in aeration tank of
tubular photobioreactor, L
V t
Liquid volume of culture in tubular section of
tubular photobioreactor, L
Y c
Specific chlorophyll content of biomass,
mg chl a g
1 cells
Y X=CO2 Biomass yield coefficient based on CO 2 consumption, g cells mol
1 CO 2
Y X=N Biomass yield coefficient based on limiting nutrient consumption, g cells mol
1 nutrient
z
Position along light path in planar photobioreactor or axial position down length of tubing for
tubular photobioreactor, m
Greek Letters.
˛
Number of illumination planes
Specific growth rate of liquid suspension culture,
h
1
0
Specific growth rate defined in (9.12), h
1
c Apparent viscosity of liquid suspension culture,
g cm
1 sec
1
max Specific growth rate of liquid suspension culture
at saturation light intensity, h
1
c Apparent density of liquid suspension culture,
g cm
3
tube Residence time of culture inside tubular section,
h