A
bstr a ctS
a r ah L
ot hm
a n, P.E.C
om
pa r is o n ofO
xy ge n T r a n sf
e rB
etw e e n a n In tegr ated F
ix ed
-F
i lm A
ct iv ated
S lu dg
e(
I FA S
)
P
r o c e s s a n d aC
o n v e nt io n al A
cti
v ated S
lud
ge Pr o c e s s(
ASP
)
Un de r t he
d
ir e cti
o n of D
r. Die
goR
o s s o a n dD
r .M
i
ch
a elA
i t ke nT h
eT
.Z .O
sb
orn
e(
T Z O
) W
ate r R e cl
am
ati
o n Fa ci l i
ty(W
R
F)
l
o c ated i
nG
r e e n sb
o r o ,N C i
s a 4 0m
i l l i
o n gal l
o n pe rd
ay(M
G D
)
w
a stew
ate r tr e atm
e nt pl
a nt th
ati
n cl
ud
e sb i
olo
gi
c al
n utri
e ntr e
m
o v al w i
th
s u rfa c e
-wate r
d is c
h
a rge. Se v e r al
pr o c e s s al
te rn ativ e s
a r eb
ei
ng e v alu a
ted
a sstr ateg
i
e s tom
e etf
o rth
c om i
ng n utri
e ntl i
m
i
ts. Integr ated fi
x ed fi l m
a cti
v ated
sl
ud
ge(
I FA S
)
i
so n e o
f
th
e alt
e r n ati
v e sb
ei
ng
c o n si d
e r ed f
o ri m p l
em
e ntati
o n . D u e to th
el i
m
i
ted
n um b
e r of fi
iU
-s c a
le
ope r atin
g IF A S
tr e atm
e ntf
a ci l
iti
e si
n th
eU
ni
ted St
ate s a nd
th
eC i
ty
of G
r e e n sb
o r o 'sd
e sir e
to e x pe rie n c e
op
e r ati
ng th
e pr o c e s s, a th
o r o u gh
ye a r -l
o ng stu
d
yw
a s c o nd
u cted
toq
u a nti f
y th
e ni
tri f
i c ati
o nk i
n etic s
, a e r ati
o n r equi
r em
e nts, pr o c e s s pe rf
o rm
a n c e, and
pote nti
al
ope r at
io n a
l i
s s u e s. A s pa rt of the ful l-s cale e v alu atio n
, a n of f
-ga s te st was perfo rmed in a c c o r
d
a n c ew ith the A meric a n So ciety of C iv i l Eng in e e r s '
(
A SC E)
Pr oto c ol. Pr ev io u sl y, o nl y o n e of f
-ga s te st had
be e n perfo rmed, a nd it wa s c o ndu cted b y a n other I F A S ma n ufa ctu r e r. To o u r kn ow led ge, the te sting
de s c r ibed in th is r epo rt is the f ir st indepe nde nt of f
-ga s te st o n a n I F A S system to date Re sults of the
te sting ind ic ate that the I F A S pr o c e s s ha s h i g he r air f lu x a nd air u s e pe r u nit lo ad tre ated c om pared to
the a ctivated slud ge proce ss
(
A S P)
, l ikel y du e to elev ated m ixin g requir ements a nd h i g h d iss olv edo xy ge n
(
D O)
spe ci fi ed b y the pro c e ss manufacturer, w ith a s s o ciated lower o xy ge n tr a nsfer ef fi cie n cy.T he r elativ e air u s e of the I F A S pr o c e s s is in the r a nge of 1.3 to o v e r 3.0 ti me s that of the A S P, a nd the
T
A
B L EO
F CO N
T E N T SL I ST
O F T A B
LE S
vL
I ST O F F I G U R E S
vi
1.
0
In tr odu cti
on1
.1
P
u rpo s e of
theS
tud
y 22
.0
B
a ck g
r o u nd
2
.1
IF A S
Te ch
nol
og y 42
.2
N
om
e n cla
tu r e a nd N
otatio n6
2
.3
Te chn
i
c al
D e s c ri
ptio
n9
2.
3
.1
A
nal ysi
s Th
e o ry1 1
2.
3
.2 F low
W
ei
g
h
ted A
v e r agi
ng 15
2
.3
.3
C
or r e ctio
n toSt
a nd
a rd C
o nd i
tio ns 18
3
.0
M
eth
ods3
.1
O f f
-ga s Te stin g 2 2
3
.2
P l
a ntO p
er ati
o n2 7
4.
0
R
e s ul ts a nd
Dis c u s s
i
o n4.
1
O f f
-ga s Te st Re s u
lt
s3 0
4.
2
N
utrie
n tP
r of
il
e s 47
4.
3
M
ixin
gC
o n si d
e r ati
o n s5
15.
0
S
um
m
a r y,C
o n clu sio n s
, an dR
e c om m
e n dat io n sR E F E R E N C
ES
A
PP
EN
D IC E S
A
pp
e nd i
xA
: Raw D
ataL I S T O F
A
B B R EV
IA
T IO N S
A SC E
A
m
eri
c a nSo c
i
et y of C i
vi l
Engi
n e e r sA SP
A
cti
v ated
Slu
d
geP
r o c e s sB
N R
B
iolog ic al N
utrie nt Rem
o v al
D O
D i
s s ol
v ed O
xy ge nI F A S Integr ate
d
Fi
x ed F i lm
A
cti
v ated
Sl
ud
geM
O
DM
i l l i
o nG
al l
o n sp
e r D ayO T E
O
xy ge n Tr a n sf
e r Ef f
i cie n c
yO T
RO
x y ge n Tr a n sf
e r RateO U R
Oxy ge nU
ptak
e RateS O T E
St
a nd
a rd
Oxy ge n Tr a n sf
e r Ef f
i ci
e n cyS O T R
S ta nd
a rd O
xy genT
r a n sf
e rR
ateL I S
T O
F TA
B LE
ST
ab le
1
P l
a ntO p
e r atingC
o nd it
i
o n sD
u rin
g Te stin
g2 8
T
ab le
2
SC A
DA
Dataf
r om T
e stin
g
Day 29
Tab le 3 Su
m m
a ry of Ja n
ua ry Re s ults fo r Tank
1 13 0
T
ab l
e 4S
um m
a ry of
Ja n u a ry Re s ult
sf
o r T a nk
1 23
1T
ab l
e5
Su
m
m
a ry of Ju
n eR
e s ult
sf
o r Ta nk 1
13
2T
ab l
e6
Su
m m
a ry of
Jun e Re sult
sf
o r Ta nk
1 23 3
L I S T O F F I G
U
R ES
F i
gu r e 1O f f
-ga s te st
i
ng l
ayo ut 23
F
i g
u r e 2 T e sti
ngH
o od P
o si
tio n s
2 6F
i
gu r e 3 Di
s s olv ed
o xy ge n pr of i l
e sf
o r th
eA S
P and I
FA S
pr o c e s si
n th
eJ
a n u a ry te st .34
F
i
gu r e 4 Di
s s ol
v ed
o xy ge n pr ofi l
e sf
o r th
eA S
P a nd
I FA S
pr o c e s si
n th
eJu n e
te st34
F i
gu r e5
O T E p
r of
ile s
f
o r th
eA S P
a nd I
FA S p
r o c e s si
n th
e Ja n u a ry te st3 5
F
i
gu r e6
O T E pr ofi l
e sf
o r th
eA S
P and I F A S
pr o c e s si
n th
e Ju n e te st 3 5F i
gu r e7
aS O T E
pr ofi
l
e sf
o r th
eA SP
a nd I F A S
pr o c e s sin
th
eJa n u a r
y
test36
F i g
u r e8
aSO T E p
r ofi
l
esf
o r th
eA SP
a nd I F A S p
r o c e s sin
th
eJu n e
te st3 7
F i
gur e9
R
el
ati
ve aSO T
E pr ofi l
e sf
o r th
eA
S P and
I FA S p
r o c e s si
n th
e Jan ua ry te st ...3 8
F
i
gu r e 10
Rel
ati
v e aS
OT E
pr ofi le s
f
o r th
eA SP
a nd
IF A S
pr o c e s si
n th
eJ
u n e te st3 9
F
i
gu r e1
1O U
Rp
r ofi l
e sf
o r th
eA SP
a nd I F A S
pr o c e s si
n th
eJ
a n u a ry te st 40
F
i
gu r e 1 2 O U Rp
r ofi l
e sf
o r theA SP
a nd
I F AS
pr o c e s si
n th
eJ
u n e te st 40
F
i g
u r e 13
Rel
ati
v eO U R p
r ofi l
e sf
o r theA SP
a nd IF A S
pr o c e s sin
theJa n u a r
y te st4 1
F i
gu r e 1 4 Rel
ati
v e O U R pr ofi l
e sf
o r th
eA SP
and
IF A S pr o c e s sin
th
e Ju n e te st 41
F i
gu r e 1 5A i
rfl
u xp
r ofi l
e sf
o r th
eA S
P a nd
IF A S
pr o c es sin
the Ja n u a ry te st 42
F i
gu r e 16
A i
rfl
u x pr ofi l
e sf
o r th
eA S
P a nd
I FA S
pr o c e s si
n th
e Ju n e te st 43
F i
gu r e17
Rela
tiv e
ai
rfl
u x o r ai
rfl
ow
r atep
r ofi
le sf
o r th
eA
S P and
I FA
S pr o c e s sin
theJa n u a r
y te st4 3
F
i
gu r e 18
R
ela
tiv e
ai
rfl
u x o r ai
rfl
ow
r ate pr ofi l
e sf
o r th
eA SP
a nd
I FA
Sp
r o c e s sin
th
eJu n e
te st 44
F
i
gu r e 2 0A i
r u s e pr of
il
e sf
o r theA
S P a nd
I FA
S pr o c e s si
n th
e Ju n e te st 4 5F
i
gu r e 2 1 Rel
ati
v e ai
r u s ep
r ofi l
e sf
o r th
e AS
P a nd
I F AS p
r o c e s si
n th
eJ
a n u a ry
te st4 6
F
i
gu r e 2 2 Rel
ati
v e ai
r u s e pr ofi l
e sf
o r th
eA SP
a nd
I FA S p
r o c e s si
n th
eJ
u n e te st 46
F
i
gu r e2 3
A m
m
o nium
-N
Pr ofi l
e of
th
e Ja n u a ry te st 4 7
F i gu r e 2 4
A
m m
o n ium
-N
Pr o
fi l
e of
th
e Ju n e te st 48
F i gu r e 2 5
N i
tr ate-N
Pr ofi le o
f
theJ
a n u a ry te st 48
F i
gu r e 26
N i
tr ate-N
Pr ofi l
e of
th
eJ
u n e te st 49
F
i
gu r e 2 7N i
tri
te-N
Pr o
fi l
e of
th
eJ
a n u a ry te st 49
F
i
gu r e 28
N i
tri
te-N P
r ofi l
e of
theJ
u n e te st50
F i
gu r e2 9
O
rth
oph
o sp h
ate-P -Pr o
fi l
e of
th
eJ
a n u a ry te st5 0
F i gu r e 3
0
O
rth
oph
o sph
ate-P Pr ofi l
e of
the Ju n e te st 5 1F
i
gu r e 3 1A i
rfl
u x pr ofi l
e sf
o r th
eA SP
(
Ta nk
1 1)
i
n th
e Ja n u a ry te st5
2F i
gu r e3 2
A i
rfl
u xp
r ofi l
e sf
o r th
eA SP
(
T
a nk 1 1
)
i
n theJ
u n e te st5 2
F
i
gu r e 3 3A i
rfl
u x pr ofi l
e sf
o r th
e I FA S
(
Ta nk
1 2)
i
n th
e Ja n u a ry te st 53
F
i
gu r e3 4
A i
rfl
u x pr ofi l
e sf
o r theI F A S
(
T
a nk
12)
i
n theJ
u n e te st 53
F
i
gu r e3
5A i
r u s e pr ofi l
e sf
o r th
eA SP
(
T
a nk
1 1)
i
n th
eJ
a n u a ry te st5
4F i
gu r e3 6
A i
r u s e pr ofi l
e sf
o r theA SP
(
T
a nk 1
1)
i
n th
eJ
u n e te st 54F
i
gu r e3
7A i
r u s e pr ofi l
e sf
o r theI F A S
(
T a nk
1 2)
i
n th
e Ja n u a r y te st5 5
F
i
gu r e 3 8A i
r u s e pr ofi l
e sf
o r th
e I FA S
(
Ta nk
1 2)
i
n th
e Ju n e te st 5 5F
i
gu r e3 9
N
etm
i
xi
n g ai
rfl
u xi
n th
eJ
a n u a ry te st56
F
i
gu r e 40
N
etm i
xi
ng air fl u xi
n th
e Ju n e te st 5 6F
i
gu r e 4 1N
etm i
xi
ng
ai
r u s e in th
eJ
anu a ry te st 5 7A C K N O
W
L E DG
EM
EN
T ST
h i
s pr oj
e ct c o ul d
n oth
a v eb
e e n c om p l
eted w i
tho ut th
eC i
t y of G
r e e n sb
o r o,N
o rth C
a r ol i
n a.I
a
m
g
r atef
ul
to th
eC i
t y'
s s
h
a rp
and
gi
vi
ng staf f
,D
onH
ow
a rd
,M
i k
eA d
c o ck
,W
al l y K l i
ng
, a nd
M
i k
e Bu ck
.T h
a nk
yo u al
s o to Dr. Di
ego R o s s o,A
s si
sta nt Pr of
e s s o r atU C
-Ir v
i
n e,f
o rb
ei
ng a ne n o r
m
o u s r e s o u r c e a nd m
e nto r a nd
H a z e n a nd S
aw
ye r, P.C
.f
o r e n c o u r agi
n g a nd
s up p
o rti
ngm
eC h
ap
t
er1
I
nt
r odu c
t
i
o nT
h
e T .Z . Osb
o r n e(
T
Z O) W
ate r Re cla
m
ati
o n Fa ci l i
ty(W
RP
)
l
o c ated i
n Gr e e n sb
o r o,N
Ci
s a4 0
m
i l l io n gal lo n pe r day(M
G
D)
w
a stew
ate r tr e atm
e nt p la nt that in clude sb
iolog ic al n utrie ntr e
m
o v al w i
th
su rf
a c e-w
ate r
d i
s ch
a rge. Se v e r al
pr o c e s s al
te r n ati
v e s a r eb
ein
g e v al
u ated
a sstr ateg
ie s
tom
e etf
o rth
c om in
g n utri
e ntl i
m
i
ts. Integ
r ated f
i xed fi l m
a cti
v ated
slu
d g
e(
I FA S
)
i
so n e o
f
th
e al
te r n ativ e s
b
ein
g
c o n si d
e r ed f
o ri m
pl
em
entati
o n. Du e to th
el i m i
ted
n um b
e r of f
ul l
-s c a
l
e op
e r ati
ng
I FA S
tr e atm
e ntf
a ci l i
ti
e sin
th
eU
ni
ted S
tate s a nd
th
eC i
ty of G
r e e n sb
o r o 's
d
e si
r e to e xpe ri
e n c e op
e r ati
ng the pr o c e s s, a th
o r o ugh
ye a r -l
o ng stu
d
yw
a s c o nd
u cted
toqu a nt
i f
y th
e nit
ri fi
c ati
o nk i
n eti
c s, a e r atio n
r equir e
m
e nts,p
r o c e s sp
e rf
o rm
a n c e, a nd
pote ntia
l
o
p
e r ati
o n al i
s s u e s.T h i
s te ch
nol
og y d
em
o n str atio nw
a s c o nd
u cted
a s a c o op
e r ati
v e te am
ef f
o rtb
etw
e e nH
a z e n a nd S
aw
y e r,C
DM
, a nd
th
eC i
ty of G
r e e n sb
o r o . An of f
-ga s te st
w
a s pe rf
o rm
ed
i
n a c c o rd
a n c ew i
th
th
eA
m
e ri
c a n So ci
ety of C i
vi l E
ng i
n e e r s'(
A SC E
)
Pr oto c ol i
n ad d i
ti
o n tot
h
e pi lo
t te stin
g s am
pl in
g a nd
a n al
ysi
s.T h
e of f
-ga s te st
i
n gw
a s c o nd
u cted
atT
ZO
o n Ja n u a ry 1 8, 2 010
a nd Ju n e
16
-
17
,
2 0
10
pe rA S C E S
ta nd
a rd 18
-9 6
,
S
ta nd
a rd G
ui d
el i
n e sf
o rI
n-Pr o c e s s
O
xy ge n Tr a n s
f
e r Te stin
g(
19 9 7
)
.T h
e go al
of
th
ei
ni
ti
al Ja n u a r
y te stw
a s tod
ete rm i
n e th
e c om p
a r ativ e
o xyg
e n tr a n sf
e r ef fi
ci
e n cyo
f
th
e a ctiv a
ted
slu
d
ge pr o c e s s(
A S
P)
and
th
ei
ntegr ated fi
x ed
-fi l m
a cti
v ated
sl
ud
ge
(
I FA S
)
pr o c e s s. T
h
eJ
u n e te stw
a s a r epet
i
ti
o n of
th
e of f
-ga s te st c o n
d
u cted i
nJ
a n u a ry 2 010
to c o nfi
rm
t
h
e r e s ult
sd
u ri
n g th
ew
a rm
s e a s o n .T h
e pla n
th
a s12
a e r ati
o n ta nk
s, a
l l
of w h i
ch
a r e eq
ui
pp
ed
w i
th fi
n e-b
ub
b led i f f
u s e r s . Th
e I FA S
pr o c e s si
s ope r ated i
nT
a nk 1
2, si d
e -b
y
-s
i d
e to th
eA SP i
n Ta nk 1
1.O f f
-g
a s te sti
ng of
th
e I FA S
a nd A S
Pb
a si
n sw
a s pe rf
o rm
ed i
n o rd
e r tob
et te r u nd
e r sta nd
th
eope r at
i
o n al
c o sti m
p li
c ati
o n s of
e a ch
te ch
n ol
og y, to ai d
th
e C i t y of
Gr e e n sb
o r oi
n s ele cti
ng ap
r o c e s s toh
el
p th
em m
e et th
ei
rf
utu r e n utri
e ntl i m i
ts.1
.1 Pu rp
o s e of
th
eS
tud
y
T h
e I FA S
m
anuf
a ctu r e r,A
n o xK
al d
n e s, r equi
r ed
that a c o a r s e-
b
ub b l
ed i ff
ii s e r syste
m
b
ei
n stal led i
n t he I FA S
c el
ls. T hed
e si gn of
the c o a r s e-
b
ub b
led i f f
u s e r gr
i d f
o r th
e I FA
S r e a cto rc e
l l
sw
a sp
e rf
o rm
ed b
y th
em
a n uf
a ctu r e r. Th
em
a n uf
a ctu r e r al
s o spe ci f i
ed
th
at th
e system
s
h
o ul d
op
e r atew i
th
a ni
n c r e a s ed d i
s s ol
v ed
o xy ge n(
DO
)
c o n c e ntr ati
o n r el
ati
v e to th
e a ctiv ated
s
l
ud g
eb
a si
n s, tof
a ci l i
tate ab
ul k
-l i
qu
i d D O d i f f
usi
o ng
r ad i
e nt thr o ug h
th
eb i
of i l m
s u ch
th
at theb i
of
il m i
sf
ul l
y a e r ob i
c.T h
ei d
e a th
at th
e IF A S m
ed i
a s e r v e s to spl i
t ap
a rt th
e c o a r s eb
ub b l
e si
ntofi
n eb
ub b l
e s a nd i
n c r e a s e s o xy ge n tr a n sf
e ri
n th
e system h
a sb
e e nh
y poth
e si
z ed b
y th
em
a n uf
a ctu r e r sb
uth
a s n otb
e e n pr o v e n.F
u rth
e rm
o r e, th
e ef f
e cts of
op
e r ati
n g a nI
FA S
system
atvar
i
o u sd i
s s ol
v ed
o xy
ge n c o n c e ntr ati
o n sh
a s n otb
e e n stud i
ed
.T h
e pu rp
o s e of
th i
s stud
yw
a s tob
e th
efi
r sti
nd
epe nd
e nti
n v e sti
gati
o n toi d
e nti f
y o xy ge n tr a n sf
e r ef fi
ci
e n c y, ai
r u s e, a nd
o xy ge nupta
k
e of
a n I FA S b
a si
n r el
ati
v e to a n ad
j
oi
ni
ng a cti
v ated
sl
ud
geb
a si
n. Pr e vi
o u sl
y , o n e of f
-ga s
te st
w
a sp
e rf
o rm
ed b
y a n oth
e r IF
AS m
a n uf
a ctu r e r, Infi l
c oD
egr em
o nt(
V i
sw
a n ath
a n,2
00 8
)
.T
oo u r
k
now l
ed
ge, th i
si
s the o nl
y pr e c ed
e nt th
ati
s pub l i
sh
ed i
nl i
te r atu r e.O
u r te sti
s th
efi
r sti
nd
ep
end
e n t of f
-g
a s te st o n an I FA S
system
tod
ate.T h
e o n e-ye a r te c
hn
ol
og
yd
em
o n str ati
o n, c o nd
u cted
a s pa rt of
th
e o ng
oi
ng
M
a ste r Pl
a n ,n o
in
f
o rm
atio n
is
c u r r e ntl
yk
now
n ab
o uti
ts o x y ge n tr a n sfe r ef
fi c ie n cy
in c om
p
a ris o n to th
ec o n v e nt
i
o n al
a ctiv a
ted
sl
ud g
ep
r o c e s s. En e rg y u s eis
a gr ow i
ng c o n c e r n atw
a stew
ate rtr e at
m
e ntf
a ci l i
ti
e s a nd
a e r atio n
h
a sb
e e ni d
e nti f
i ed
a s o n e of
th
em
o st e n e rg
yin
te n si
v epr o c e s s e s o n site
(
R
o s s o a nd
Ste n str om
, 20
0 5)
. Fu rth
e rm
o r e,i
n the c a s e of T
ZO
, a e r atio n
e n e rg y
m
ay be the de cid
ingf
a cto r in cho o sin gb
etw
e e n I FA S
o r e xpa n sio n
of
the e xi
sti
ngA S P
w h
e n the pl
an ti
s up gr ad
ed
. Iti
s th
e r ef
o r e c ri
tic a
l
to ch
a r a cte ri
z e th
e c u r r e nt system
ef f
i ci
e n cya n
d
e v al
u ate th
e pote nti
al
to op
ti m iz e
a e r ati
o ni
n a t tem
p ts tom
a xi m i
z e e n e rgy
c o n s e r v atio nan
d m in
i m i
z e ope r atio n a
l
c o sts. Th
e o v e r al l
go a
l
of
th
e te sti
n gis
toi
n c r e a s e ou r u nd
e r sta nd i
ngo
f
o x y ge n tr a n sf
e r r ate si
n I FA S
system
s a nd
ul
ti m
at el
y u s e th
ek
n ow l
ed
ge gai
n ed i
n th
ed
e ci
si
o nm
ak in
g pr o c e s sf
o rf
ul l
- s c al
e I FA S i m
C h
ap
t
e r2
B
a ck g
r o u nd
2
.1
I F A S
T e chnol
og
yT
h
e c o n c ept of
integr ati
ngi m
m
obi l
iz ed bi
om
a s s in s u spe nd
ed b
iol
og ic al r e a cto r s date s a s e a rl ya s t
h
e 19
40
's
(
M
etc al f
a nd E d d
y,2
00 3
)
.O
n e of
th
em
o r e r e c e nt ap pl i
catio n s o
f
th i
si d
e ai
s th
ei
ntegr ated f
i x ed fi l m
a cti
v ated
slu
d
ge(
I FA
S) (
Se n
et al
, 199
4 ;R
a nd
al l
a nd S
e n,19 9 6
)
. I FA S
i
n v olv e s
th
e ad d i
ti
o n of fi
x ed
o rf
r e e-f l
o at
i
n gm
ed i
a, ei
th
e r pla s
ti
c o rf
ab
ri
c, to a n a ctiv a
ted
s
l
ud
geb
asi
n. Th
eI F A S p
r o c e s si m p
r o v e s up
o n th
e a cti
v ated
sl
ud
ge pr o c e s sb
yp
r o vi d i
ng ala r
g
e rb i
om
a s sin v e n
to ryi
n th
e a e r ati
on tank b
yf
a ci l i
tati
ngb i
ofi l m
gr ow
th
o n th
em
ed i
ain
a
d d i
ti
on to s u spe nd
ed
s ol i d
sw h i
ch
a r ep
r e s e ntin
th
e a ctiv a
ted
sl
ud g
ep
r o c e s s.T h
eh i
gh
e rb
iom
a s si
n v e nto ryi
nc r e a s e s tr e atm
e nt c ap
a ci
ty.T h
e e nh
a n c ed
r em
o v al
of
ch
em i
c al
o xy g
e nd
em
and
(
C O D
)
a nd
n utri
e ntsh
a sb
e e nd
em
o n str ated i
nI F A S
ap
pl i
c atio n s
(
Ra nd
al
l et al.,
19 9 6
)
.A
s c o nd i
tio
ns al l
ow
, atta c
h
ed b i
om
a s sg
r ow
s a s ab i
ofi l m
o n th
e s u rf
a c e of
th
em
ed i
as
i
m
ul
ta n e ousl
yw
ith
s u spe nd
ed b
iom
a s s(
m ix e
d
li
qu o r)
i
n th
e a cti
v ated
sl
ud g
eb
a sin
. T hea
m
o u nt of b i
om
a s s th
atis
d
e v el
oped
o n th
em
ed i
ad
epe nd
s o n ah
o st of f
a cto r s,i
n clu
d i
ng
l
o ad i
ng
,d i
s sol
v ed
o xyg
e n c onc entr ati
on, tem
pe r atur e,m i
xi
ng en ergy
, s u sp
e nd
ed
-p
h
a s eb i
om
a s s c o n c e ntr ati
o n , a nd
s ol i d
s r eten ti
o n ti m
e. Bio
m
a s s a c c um
ula
te s o n th
em
ed i
a u nti l
a na
p p
r o xi
m
ateb
al
an ce(
ste ad y
state)
i
s r e ach
ed b
etw
e e nb i
ofi l
m
g
r ow
th
r ate a nd
th
e r ate atw h i
ch
s o
l i d
s a r ed
eta ch
ed f
r om
th
eb i
ofi l m
D eta ch
m
e nti
sh i
gh l
yd
epe nd
e nt o nm
ix
in
g tu rb
ul
e n c ea n
d
ab
r a si
o nb
y oth
e rm
ed i
a.I f b i
ofi l m
s ol i d
sg
r ow
m
o r e slo
w l
y th
a n th
ed
eta ch
m
e nt r ate, th
eat ta c
h
ed b i
om
a s sw i l l d
e c r e a s e. If b i
ofi l
m
s ol i d
s gr ow m
o r e r api d l y
th
a n th
ey
a r ed
eta ch
ed
, th
eIn a
d d i
ti
o n to th
e atta ch
ed
gr ow
th
o n th
em
ed i
a,b i
om
a s sw i l l
al
s od
e v el
opi
n th
e s u spe nd
ed
p h
a s e(
m i
x ed l i
qu o r)
, si m i l
a r to c o n v e nti
o n al
s u spe nd
ed
gr ow
th
sy stem
s. Be c a u s e apo rt
i
o n of
t
h
e total b i
om
a s si
s atta ch
ed
gr ow
th
a nd
r etain ed i
n th
e a e r ati
o nb
a si
n, o nl
y th
em i
x ed l i
qu o rs u spe nded s o l i ds r e a ch the f
i
n al cla ri fi e r s. Th
e r efo r e, the total bi
om
a s s c o n c e ntr atio n a ch ie v ed
i
n a nI
FA S
system w i l l
e x c e ed
th
e ef f
e cti
v eb i
om
a s s c o n c e ntr ati
o n a ch i
e v ab l
eb
y s u spe nd
ed
p h
a s e o nl
y a nd i
n c r e a s e th
e c apaci
t y of
th
e system
i
n th
e sam
e r e a cto r v ol
um
e.I F A S syste
m
s c om
ew i
th
s e v e r al
ph
ysi
c al
r equi
r em
e nts th
atm
u stb
e a c c o un ted f
o ri
n th
esy ste
m
:•
M
i
xi
ng
-A d
eq
u atem
i
xi
ngm
u stb
ep
r o vi d
ed f
o rf
r e e-f l
o ati
ng syste
m
s to e n s u r e th
at th
em
ed i
a r em
ai
n s u ni f
o rm l y d i
stri b
uted
th
r o ugh
o ut th
e r e a cto r a nd d
o n ot gath
e r o rc o n c e ntr ate at t
h
e ef f l
u e nt e nd
of
pl
ug f l
ow
ta nk
s.A d d i
ti
o n al l
y ,fr
ee-
f l
o ati
ng
m
ed i
ai
ss
l i
gh
tl
yl
e s sd
e n s e th
anw
ate r, r e s ul
ti
ng i
nf l
otati
o nw h
e n a e r ati
o n system
s a r e tu r n ed
o
ff
.M
i
xi
ng e n e rg ym
u stb
e ad
equ ate to r ed i
stri b
ute th
ef l
o ati
ngm
ed i
a upo n sta rtup.T h
em i
xi
ng r equi
r em
e nt app l i
e sm
ai
nl
y tof
r e e-fl
o ati
ng
m
ed i
a.• Tu r
b
ul
e n c e/
sl
ough i
ng
e n e rg
y -I
nf
r e e-fl
o ati
ng
m
ed i
a sy stem
sl i k
e th
e o n e at th
e T .Z
.O
sb
o r n eW
R F, th
em
i
xi
ng a nd
a e r ati
o n pr o vi d
ed b
y th
e a e r ati
o n system i
s u s u al l
ya
d
equ atef
o r th
e sl
oug h i
ng of b i
ol
ogi
c al m
ate ri
al f
r om
th
eb i
om
a s s a nd f
o rm
ai
ntai
ni
ng
a t
h i
n, vi
ab l
eb i
ofi l m
.•
A
e r ati
o n -T h
eb
ui l d
up
of b i
om
a s s o n th
em
ed i
a req
ui
r e s ah i
g
h
e rd i
s s ol
v ed
o xy ge nc o n c e ntr at
i
o ni
n th
e s u sp
e nd
ed
ph
a s e to e n s u r e th
at th
eb i
of
il m i
s ae r ob i
c th
r o ug h
o uti
tsthe
m
ed i
a pe rf
o rm
th
em
aj
ori
ty of n itri fi c atio n in an I FA
S system
. I FA
Sm
ed i
am
a n ufa c
tu r e r sh
a v ei d
e nti f
i ed
ta rgetd i
s s ol
v ed
o xy ge n c o n c e ntr atio n s o
f
am i
ni m
um
of
3 m g /
L a nd
ap
r ef
e r ab l
e ta rget of 4
m
g / L
.•
E f fl
u e nt s c r e e n s -F
o rf
r e e-fl
o ati
ng syste
m
s, ef fl
u e nt s c r e e n sm
u stb
ein s
tal le
d
toc o ntain
m
ed iaw
ith in the r e a cto r s. Fo r a e r ob
ic sy stem
s, th i
sis u s u a
l
l y in thef
o rm
of
s u
b
m
e rged
, cyl i
nd
ri
c al
s c r e e n s. Fo r a n o xic s
ystem
s, t
h i
si
s u s u al l
y v e rtic al w
ed
ge -w i
r es c r e e n s. T
h
e s e ef fl
u ent s c r e e n s a r ed
e si g
n ed f
o rm in
i
m
al h
e ad lo
s s.•
F
o am
r em
o v al /
a c c um
ula
ti
o n - B e c a u s e of
th
e n eed
to r etain
th
em
ed i
aw i
th in theI F A
Sc e
l l
s, a c c um
ula
tio
n of f
o am i
n sit
u atio n s
w h
e r ef
o am
c a n o c c u ri
s a c om
m
o ni
s s u ew i
thI F A S
sy stem
sd
u e to th
ed
e c r e a s ed
ab i l i
ty
to c ol l
e ct a nd w
a stef
o am
-c a u sin
g
b
a cte ria
.M
o st of te
n, ch l
o ri
nated w
ate r spr ays a r e u s ed
to r ed
u c e a nd
c o ntr ol fo a
m
.T h
e u s e of
s c r e e n sto r eta
i
n th
em
ed i
a c a n al lo
w
th
em
aj
o ri
ty of
thefo a
m
to pa s s th
r o ugh
tod
ow
n str e am
c el ls a n
d
o n to th
efi
n al
cl
a ri fi
e r s,w h
e r ei
t c a nb
e r em
o v ed f
r om
thesyste
m
.2
.2
N
om
e n clatu r e a nd N
otati
onT
hef
ol l
ow i
ng d
ef
i ni
tio n s a nd
spe ci
al
te rm
s a r e u s ed i
n th is r ep
o rt:T h
ei
r u s eis c o
nsi
ste ntw i
th
t
h
eA
m
e ric a
n So ci
ety of C i
vi l
Engin e e r s
(
A
SCE
)
Sta nd
a rd
(
A S
C E, 2 0 0 7)
.•
D O
~ Di
s s ol
v ed
o xy g
e n c o n c e ntr atio nin
m
g/L
.•
O T E
=O
xy
ge n tr a n sf
e r ef f
i ci
e n cyi
np
e r c e nt.T h i
sis
th
e pe r c e ntag
e of
th
e o xy ge nm
a s str an s
f
e r r ed f
r om
th
eg
a s ph
a s e to thel i
qui d p h
a s ef
r om
th
e ri
si
ng ai
rb
ub b l
e s.I
ti
ste
m
pe r atu r e,b
a r om
etri
c pr e s s u r e, s al
t c o n c e ntr ati
o n , a nd
othe r c o n stitu e nts in thew
a stew
ate r.T h i
s tr a n sf
e r effi
ci
e n cyi
sw h
ati
s a ctu al l
ym
e a s u r ed i
n a n off
-ga s te st.
•
S O T E
=St
and
a rd
o xy ge n tr a n sf
e r ef fi
ci
e n cyi
np
e r c e nt.T h i
si
s th
e pe r c e ntag
e of
theo xy ge n
m
a s s tr a n sf
e r r ed f
r om
th
e ga s ph
a s e to th
e li q
ui d
ph
a s ef
r om
th
e ri
si
ng ai
rbub
b
le s at sta nd
a rd
c o nd
iti
o n sf
o r di
s s olv ed
o xy ge n(
D O)
c o n c e ntr ati
o n , tem
pe r atu r e,b
a r om
etri
cp
r e ssu re, s al
t c o n c e ntr ati
o n , a nd
cl
e a nw
ate r.O
n e n e v e r ob
tai
n s th
eSO T E i
na ctu a
l
pr o c e s s ope r ati
o n .S O T
Ei
sd
ete rm i
n ed b
y a cl
e a nw
ate r te st, a sd
e s c ri b
ed b
yA SC E
(
2 0 0 7
)
.• O T R =
O
xy ge n tr a n sf
e r r atei
n po u nd
s of
o xy ge np
e rh
o u r.T
hi
s is th
e r ate of
tr ansf
e r of
o xy ge n
m
a s sf
r om
the ga sp h
a s e to th
el i q
ui d p h
a s e. Itd
ep
e nd
s upo n th
e pr o c e s sc o n
d i
ti
ons, such
a sd i
s s ol
v ed
o xy ge n(
D O
)
c onc en tr ati
o n, tem p
e r atu r e,b
a r om
etri
cp
r e s s u r e, s alt
c o n c e ntr ati
o n, a nd
oth
e rw
a stew
ate r c o n sti
tu e nts. Th i
s tr a n sf
e r r ate c a nb
ec a
l
c ul
ated f
r om
theO T E
a nd
th
e ai
rfl
ow
r ate,w h i
ch i
s n o rm
al l y m
e a s u r ed i
n an of f
-gas
te st.
•
S O
TR
= Sta nd
a rd
o xy ge n tr a n sfe r r ate in po u nds of
o xy ge n pe rh
o u r. Th i
si
s the r ate of
tr a n s
f
e r of
o xy g
e nm
a s sf
r om
the ga s ph
a s e to th
el i
qui d p h
a s e at sta nd
a rd
c o nd i
ti
o n sf
o rd i
s s ol
v ed
o xy ge n(
D O
)
c o n c e ntr ati
o n , tem p
e r atu r e,b
a r om
etri
cp
res s u r e, s al
tc o n c e ntr at
i
o n , a nd
cl
e a nw
ate r.O
n e n e v e r ob
tai
n s th
eS O T R
i
n a ctu al
pr o c e s sope r at
i
o n. SO
TR i
sd
ete rm
in ed b
y a c
l
e a nw
ate r te st, a sd
e s c ri b
ed b
y ASC E
(
2 0 0 7
)
.•
K
t a =V
ol
um
etri
cm
a s s tr ansf
e r c o ef f
i ci
e nti
n u ni
ts of h
o u r s'
^
T h i
si
s am
ath
em
ati
c al
p
a r am
ete r c al
c ul
ated f
r om
tr a n sf
e rd
ata tod
e s c ri b
e th
e r ate of
o xy ge n tr an sf
e rf
r om
thega s p
h
a s e to th
e aq
u e o u s ph
a s e.T h
eSO T E
c anb
e c al
c ul
ated f
r om
the v al
u e of K
t a a nd
v i c e-v e r s a
•
Q
c o * = Eq
ui l i b
ri
um
DO
c o n c en tr atio n. T h is is the D O c o n c e ntr ati
o n thati
s a ch
ie v ed inc
l
e a nw
ate r aft
e rb
ei
ng a e r ated f
o r a v e ryl
o n g ti m
ei
n o rd
e rf
o r the system
to r e a ch
e
q
ui l i b
ri
um
(
n o ch
a ng
esi
n co nd i
ti
o n s o v e r ti m
e)
.I
ti
s t yp i
c al l y l
a rg
e r th
a n th
es atu r at
i
o n c o n c e ntr ati
o nl i
sted i
nh
a ndb
o ok
s,w h i
ch
r e sul
tsb
e c a u s e of
thei
n c r e a s ed
h y dr o static pr e s s u r e of the
w
ate r c olum
n o n the risingb
ub b le s,a
f
a cto r o r a Ff
a cto r =T h
e af
a cto ri
s th
e r ati
o of
th
e v al
u e of K
t am
e a s u r ed i
np
r o c e s sw
ate r to theK
t am
e a s u r ed i
n cl
e anw
ate r. Th
e sm
all
e r the v al
u e of
th
e af
a cto r th
eg
r e ate r th
e r ed
u cti
o ni
n tr a n sf
e r r ated
u e to c o n tam
i
n a ntsi
n th
ep
r o c e s sw
ate r.W
h
e n the te rm
a Fi
s u s ed
,i
t r ef
e r s todi f f
u s e r s th
ath
a v eb
e eni
n s e r vi
c ef
o r a pe ri
od
of
t
i m
e,w h i
ch
u su al l
yh
a v e ad d i
ti
o n al
r ed
u cti
o ni
n tr ansf
e r ef f
i ci
e n cyd
u e tob i
of
o ul i
ng
o rc
h
a n ge si
nd i f f
ii s e rm
ate ri
al
pr ope rti
e s, s u ch
a sm
em
b
r a n eh
a rd
e ni
ng
o r s oft
e ni
ng.a
S O
TE
o r a FSO
T E =O
x y ge n tr a n sf
e r ef fi
ci
e n cy(
O T
E)
c o r r e cted f
o r all
pr o c e s sc o n
d i
ti
o n s s u ch
a s DO
, s al i
ni
t y,b
a r om
etri
cp
r e s s u r e, etc., e x c ep
tf
o r th
e af
a cto r.T h i
si
s the sin
g l
em
o st u s ef
ul pa r am
ete r tod
e s c ri b
e the pe rf
o rm
a n c e of
a n a e r ati
o n system
u n
d
e rp
r o c e s s c o nd it
i
o n s. Th
e aS
O T Ed i
v id
ed b
y th
e SO
T Ei
s equ al
to th
e af
a cto r .A
gai
n,w h
e n a Fi
s u s ed
,it
r ef
e r s to u s ed d i f f
u s e r s.•
p
= s al i
nit
y cor r e cti
onf
a ctor.2
.3
T
e ch
nic a
lD
e s c ri p
t ionO
n e of
th
e ch
al l
e ng
e sw
ith
a e r ob ic
w
a stew
ate r tr e atm
e ntp
r o c e s sd
e si
gni
s th
e c o r r e ctspe c
i fi
c ati
o n of
a e r atio n
c apa ci
ty. A v a ri
ety of
te ch
ni
qu e s e xi
stf
o r e sti m
ati
n g th
e o xy ge ntr a n s
f
e r c apa ci
ty of
a n a e r ati
o n system
.M
ethod
sf
o r e sti m
atin
g tr a n sfe r c a n ge n e r al
l yb
ed i
vi de
d i
nto th
r e e c atego rie s :
•
C l
e a nw
ate r te sti
ng a nd
c o n v e r si
o n tof
i el d
r ate sw i
th
al
p ha,b
eta, a nd
th
eta c o n v e r si
o nf
a cto r s.•
T
e sti
ng
u nd
e r a ctu al fi
el d
c o nd i
ti
ons(
"d ir
t yw
ate r" te sti
ng)
usin
g
m
eth
od
s to a c c o un tf
o r theb i
ol
ogic a
l
c o n s um
p ti
o n of
o xy ge nd
u ri
ng
th
e tr a n sf
e r te st.•
M
ate ri
al b
al
a n c em
eth
od
sw h i
ch
at tem
p t tod
ete rm
i
n ed i f f
e r e n c e sb
etw
e e ni
np
uts a nd
out
p
uts of
o xy
ge n-c o n s um
i
ng m
ate ri
al
.A l l
of
th
e s em
eth
od
sh
a v e ad
v a ntage s a nd d
is ad
v a ntage s.W
h
e n u sing c
l
e a nw
ate r te st r e s ul
tsi
tis v e r
yd i f fi
c ul
t to a c c u r atel
y e stim
ate th
e al ph
af
a cto r(
r atio
of
m
a s s tr a n sf
e r c o ef fi
ci
e nti
nd i
rt yw
ate r toi
ts v alu e
i
n cl
e a nw
ate r)
.D i
rty-
w
ate r te sti
ng r equ
ir e s a c c u r a
te e sti m
ati
o n of
th
eo xy
g
e n c o n s um p
ti
o n r ate,w h i
ch i
s oft
e n v e ryd i f fi
c ul
t, e spe ci
al l
yi
n o x y ge n-
l im
i
tin
gc o n
d i
ti
o n s,w h i
ch
o cc urin
o v e rlo a
de
d
tr e atm
e ntp l
a nts.M
ate ri
al
-b
al
a n c e
m
eth
od
sr eq
ui
r el
o n g-te rm k
n ow l
ed
s u s c epti
b l
e to e r r o r fr om
slud ge s et tli
ng in th
e a e r ati
o nb
a si
n o r stri
p pi
ng of v olati
le o xy ge n-c o n s u
m
i
ng
c om
po u nd
s.A
te ch
ni q
u ew h i
ch h
a s n o n e of
the ab
o v e sh
o rtc om
ing
si
s of f
-ga s a n a
l
y si
s. Th i
sm
eth
od
r equ
i
r e s th
e c aptu r e of
a r epr e s en tati
v e s am
pl
e of
th
e ga sw h i
ch
e xi
ts th
e a e r atio nb
asi
n s u rf
a c e,ty
p i
c al l
y u si
ng af l
o ati
ng
"h
o od
"that
p
r o vi d
e s a s e al b
etw
e e n th
el i q
ui d
s u rf
a c e a nd
th
eh
e ad
spa c e. Th
e of f
-ga s
i
s anal yz ed f
o r o xy ge n , c a rb
o nd i
o xi d
e, a nd w
ate r v apo r c o nte nt. B yk
n ow i
ng
th
ef l
ow
r ate s of g
a s e nte ri
ng a nd
e xi
ti
ng
th
el i
qui d
,m
a s s tr a n sf
e r ef fi
ci
e n cy
c a nb
ec a
l
c ul
ated
. If f l
ow
r ate s a r e n otk
now
n, t
h
em
a s s tr a n sf
e r ef f
i ci
e n cy c a n sti l l b
ed
ete rm i
n ed b
yk
now i
ng
th
e pa rti
al
v ol
um
e s of
the r e a cti
n g o r ch
a ngi
ng ga s c o n stit
u e n ts(
o xy ge n, c a rb
o nd i
o xi d
e, a nd w
ate r v apo r)
a nd
a s sum
i
ng th
at th
ei
n e rt ga s c onsti
t ue nts(
ni
tr oge n, a rgo n)
r em
ai
nc o n sta nt. It
m
u stb
ef
u rth
e r a s s um
ed
th
at th
e tr a n sf
e r at th
ef l
ui d
s u rf
a c e a nd
th
e atm
o sph
e r ei
sn eg
l i
gi b l
ew h
en c om
pa r ed
to th
e tr a n sf
e r c a u s ed b
y th
e a e r ati
o n system
, a nd
th
at ste ad
y-state
c o n
d i
ti
o n s e xi
std
u ri
n g th
e te st. Both
a s s um
pti
o n s a r e v e ry g
o od f
o rw
a stew
ate r tr e atm
e ntsyste
m
s, e sp
e ci
al l
y o v e r th
e sh
o rtd
u r ati
o n of
of f
-ga s te st
i
ng.T h
e c o n c ept of
of f
-ga s a n a
l
ysi
si
s n ot n ew
a nd w
a s o ri
gi
n al l y d
e s c ri b
ed i
n 19
39 b
yS
aw
ye r a nd
N i
ch
ol
s(
19 3 9
)
.A
n um b
e r of l
ate ri
n v e sti
gato r s conti
n u ed
th
ed
e v el
opm
e nt of
of f
-ga s an a
l
ysi
s,i
n cl
ud i
ngH
o v e r et. al
.(
19 54
)
,P
a ul i
n g et al
(
19 6 8
)
,P
ri
t a nd C
al l
ow
(
19 5 8)
a nd
Dow
ni
ng(
19 6 0
)
.C
o nw
ay a nd K
um k
e(
19 6 6
)
and
L e a ry et al.(
1 96 8
)
h
a v e al
s o u s ed
of f
-ga s a n a
l
y si
s.T
h
eA S
C E/
E PA
s ub
c om
m
i
tte e o n o x y ge n tr a n sf
e r te sti
ng
a sk
ed E w i
ng E
ngi
n e e ri
ng
(
Red m
onet a
l
.,19 8 3
)
tof
u rth
e rd
e v el
op
th
e te ch
ni
qu e. Th
ei
r r e s ult
s r ep
o rted
at th
e 1983 m e eti
ng of
th
eo
f f
-g
a s tech
ni
qu ei
s a n a c c u r ate a nd
pr e ci
s ew
ay of
e sti m
ating
a e r atio n ef f
i ci
e n cy u nd
e r pr o c e s sc o n
d i
ti
o n s.N
ew d
e v el
opm
e ntsw h i
ch m
ak
e th i
sm
eth
od m
o r ep
r e ci
s e a r e ad
v a n c e si
n o xyg
e na n a
l y
z e r s, and
th
e u s e of
la rge of f
-ga s c o
l l
e cti
o nh
o od
sw h i
ch
c aptu r em
o r e r epr e s e ntati
v es a
m
pl
e s.O f f g
a s a n al
y si
s c a nb
e u s ed f
o r a ny sub
s u rf
a c e a e r ati
o n system
r eg
a rd l
e ss of
th
e o xyg
e nupta
k
e r ate a nd
pr o c e s s c o nd i
ti
o n s.E f f
i ci
e n ci
e s of
o xy ge n-
l
im
i
te
d
system
s c a n al
s ob
ed
ete rm i
n ed, al
th
o ugh
th
e tr a n sf
e r r atem
ayb
ed i f f
e r e nt th
a n th
e tr a n sf
e r r ate u nd
e r n o rm
al
ope r at
i
o n . Ith
a sb
e e nd
o c um
e nted
th
at al
ph
af
a cto r s c a n v a ry gr e atl
y(
S
tenstr om
a nd G i l b
e rt,
19 8 1
)
.2.
3
.1A
nal ysisT
he o ryT o
d
ete rm i
n e o xyg
e n tr a n sf
e r ef fi
ci
e n c y u si
ng
of f
-ga s a n a
l
ysis, am
a s sb
al
a n c em
u stb
eper
f
o rm
ed
o n th
e ga s e nte ri
ng
and
e xi
ti
ng
thel i q
ui d
. Th
ef
ol l
ow i
ng d
e s c ri p
ti
o ni
s pr o vi d
ed
, a nd
i
sb
a s ed l
a rgel
y o n th
e a n al
ysi
sb
y Red m
o n et al
.(
1 9 83
)
. If
th
ef l
ow
r ate s of
ga s e nte ri
n g a nd
e x
i
ti
ng
th
ef l
ui d
a r ek
n ow
n , th
e n th
ef
ol l
ow i
ngm
a s sb
al
a n c e c a nb
em
ad
e :V
aP
^
=p
i
q
,Y
,-q
J
J
-K
, a(
C
:
-C
)
V
(
1
)
p
d
e n si
ty of
o xy ge n at tem
pe r atu r e a nd
pr e s s u r e of g
a sf l
ow
,q i,qQ
= tota
l
v ol
um
etri
cga s
fl
ow
r ate s of i
nl
et a nd
o utl
et ga s s e s,Y r ,Yo
g
=
m
ol
ef
r a cti
o n s(
equ
i
v al
e nt to v ol
um
etri
cf
r a cti
o n s)
of
o xyg
e ni
nt
h
ei
nl
et(
R , r ef
e r e n c e)
a nd
e xi
tg
a s s e s(
og
, of f
-g
a s)
,K
La = v o
l
um
etri
c o x y ge n tr a n sf
e r c o ef f
i ci
e nt.*
Coo "= e
qu
i l i b
ri
um d i
s s ol
v ed
o xy ge n c o n c e ntr ati
o ni
n th
e te stl i q
ui d
at t
h
eg i
v e n c o nd i
ti
o n s,C
=d i
s s olv ed
o xy ge n c o n c e ntr at
i
o n ,V
=l i q
ui d
v ol
um
e, a nd
V q = ga s
h
ol d
-up v o
l
um
e.A
t ste ad
y state th
e eq
u ati
on r ed
u ce s to :p
(
q
,Y
,-
q
X
^
)
=
K
, a