math modelling of ww treatment technologies in industrial water
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8/13/2019 Math Modelling of Ww Treatment Technologies in Industrial Water
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Mathematical modelling of wastewater treatmenttechnologies in industrial water circuits
, ,
P. Grau, I. Lizarralde and L. Sancho
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8/13/2019 Math Modelling of Ww Treatment Technologies in Industrial Water
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DatabasesStudy by
dynamic/ steady-state simulations:Steady-state model
SOFTWARE TOOL
Dynamic model library
• Water treatmenttechnologies
• Integrated watercircuits
Optimum watercircuits
rary
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Water – Solids separation
Unit ProcessesSettlerDAF
Biological Unit Processes
Activated Sludge unitMBRMBBR
MF, UFNF, RO3FM
FACTEvapoconcentratorElectrodialysis
Anaerobic unit (UASB)DenutritorChemical Unit processes
AOPsDisinfection (O3, Cl2, UV)Coagulation-flocculation
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:
: , , : ( 4= )
1 (1 )
1 (1 )
1970
BH S S
S
H
H X S K
S Y +
= · ρ
BH H X b ·= ρ
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Mass balance
l / mg3500TSS max ≈
d8SRT ≈
CSTR SETTLERInflow Effluent
Waste
CSTR SETTLERInflow Effluent
Waste
+
+
+−+
+−
= SRT·Xf
SRT·XSRT·b1
)BODBOD·(Y·SRT·SRT·b·f
SRT·b1)BODBOD·(Y·SRT
·TSS
1HRT 0,II
TSS_COD
0,IH
ef 0HHend
H
ef 0H
maxmin
( )[ ]( ) ( )nsHH
Hnsseff f 1bSRT
b·SRTf 1KBOD
−−−µ+−
=( ) ( )−+−= LM,BHHend
CODHASUreq X·b·f 1
HRTS·Y1
·1000V
DO
SRTV
Q ASUw =
inf
minASU Q
HRTV =
uen ua yar a es re a e w cos s
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Mass balance
l / mg10000TSS max ≈
d35SRT ≈
+
+
+−+
+−
= SRT·Xf
SRT·XSRT·b1
)BODBOD·(Y·SRT·SRT·b·f
SRT·b1)BODBOD·(Y·SRT
·TSS
1HRT 0,II
TSS_COD
0,IH
ef 0HHend
H
ef 0H
maxmin
( )[ ]( ) ( )nsHH
Hnsseff f 1bSRT
b·SRTf 1KBOD
−−−µ+−
=( ) ( )−+−= LM,BHHend
CODHMBRreq X·b·f 1
HRTS·Y1
·1000V
DO
SRTV
Q MBRw =
inf
minMBR Q
HRTV =
uen ua yar a es re a e w cos s
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0.80
1.00
1.20
1.40
1.60
1.80
2.00
e f ( m g
C O D / l )
ASU
MBR
Effluent Quality Variables related with costs
0.30
0.40
0.50
0.60
0.70
0.80
H R T ( d )
ASU
MBR
0.00
0.20
0.40
0.60
0 5000 10000 15000 20000 25000 30000
Mass Flux (kg/d)
B O D
0.00
0.10
0.20
0 5000 10000 15000 20000 25000 30000
Mass Flux (kg/d)
0.00
5000.00
10000.00
15000.00
20000.00
25000.00
30000.00
0 5000 10000 15000 20000 25000 30000
Mass Flux (kg/d)
D O r e q
( g / d )
ASU
MBR
0
1000
2000
3000
4000
5000
6000
7000
8000
0 5000 10000 15000 20000 25000 30000
Mass Flux (kg/d)
S l u d g e p r o
d u c t i o n
( k g / d )
ASU
MBR
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inf
minMBR Q
HRTV =
Mass balance
l / mg10000TSS max >
d30SRT >
CSTR SETTLERInflow Effluent
Waste
CSTR SETTLERInflow Effluent
Waste
( )
( )nsns
HH
nsHnss
eff ,4SO
f 1HRTf
bSRT
HRTf
bSRTf 1K
S
−−
−−µ
++−==
Effluent Quality Variables related with costs
( )
( )nsns
HH
nsHnss
eff ,CODf 1
HRTf
bSRT
HRTf
bSRTf 1K
S−−
−−µ
++−=
inf 44SO_CODSRB SO·f COD ==
SRTV
Q UASBw =
inf
minUASB Q
HRTV =
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( ) ( )
3 (% ) ( )
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f f Q,TSS clarclar Q,TSS
slsl Q,TSS
clar
f f nss_Xclar Q
QTSSf TSS =
( ) slf f nss_Xsl Q
QTSSf 1TSS −=
( ) ( ≈≈≈≈ )
clar
f f nss_Xclar Q
QTSSf TSS =
( )sl
f f float_Xsl QQTSSf 1TSS −=
fX_nss depends on the TSSsetteability
fX_floatdepends on the air/solids ratio (aS):ffloat= 0.66aS + 0.79
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permQ,Permeateinf Q,Inflow A·)FF1(
P·LQ pp +
∆=
TDS·TCS·TSS·FF α+α+α=
−=
100R
1·CC Cf p
( µµµµ )
( µµµµ ) , %
conc,
permEEPE Q·P·KOP = permEEPE Q·P·KOP =
( ) concEEbwash QTDSTCSTSS·P·KOP ++=airairEair Q·P·KOP =
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:
permQ,Permeate
concQ,eConcentrat
inf Q,Inflow
Calculation of Qperm andTDSperm depend on thetechnology used
( )
A·)FF1(
P·LQ p
p +∆Π−∆
=
+=
AQ
B
BCC
pf p
1176.0
·)·273(19.1
−+=∆Π ∑ ∑conc feed
ii mmT
pf p QFz
INCC
ξ−=
compoundsvolatilenonfor0C
compoundsvolatileforCC
p
f p
=
=
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:
: : , , ,
mn
o
t
HRT C k N
N ··ln −=
: , , , , ,
Chloramine-Virus
-8.00
-7.00
-6.00
-5.00
-4.00
-3.00
-2.00
-1.00
0.00
0.00 0.50 1.00 1.50 2.00
C·HRT
l n ( n / n
o )
T=5ºC
T=10ºC
T=15ºC
T=20ºC
T=25ºC