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SPEED
Sustainable Process Synthesis-Intensification
Rafiqul GaniDepartment of Chemical & Biochemical Engineering
Technical University of DenmarkDK-2800 Lyngby, Denmark
1IETS Experts Workshop, Berlin, 4-5 April 2017
mailto:[email protected]
SPEED
IETS Experts Workshop, Berlin, 4-5 April 2017 2
Processes need to be:
Sustainable (Economically feasible; Reduced waste; Utility efficient; Environmentally acceptable); Safe; Operable; …….
Establish sustainable production
Adopt to changing markets
Chemical and bio-based industry faces enormous challenges to achieve and/or respond to:
Demands for innovative products
Survive global
competition
Process
Product(s)
Waste
Raw Materials
Utilities
SPEED
IETS Experts Workshop, Berlin, 4-5 April 2017 3
Target: Intensify (reduce number of operations) as well as operational costs
Methyl acetate in multifunctional reactor (Eastman Chemicals)
Find innovative solutions
SPEED
IETS Experts Workshop, Berlin, 4-5 April 2017 4
Industrial example of process intensification
Deordorization Plant – Alfa Laval, Copenhagen
SPEED
IETS Experts Workshop, Berlin, 4-5 April 2017 5
Concept of 3-stages synthesis-design approachDecompose the problem into stages to manage the complexity
Stage 1Synthesis
Stage 2Design
Stage 3Innovation
Given: set of feedstock & productsFind: processing route
Given: processing route Find: feasible design
Given: feasible design (base case)Find: alternative more sustainable design
Define problem
Generate superstructure
Mathematical formulation
Solve optimization problem
Generate sustainable intensified alternatives
Detailed analyses to identify process bottlenecks
Quaglia et al. (2012)
Carvalho et al. (2013)
Babi et al. (2015)
SPEED
IETS Experts Workshop, Berlin, 4-5 April 2017 6
Raw material
Synthesis stage: find the optimal processing route
Sustainable Product-Process Development
SPEED
IETS Experts Workshop, Berlin, 4-5 April 2017 7
Synthesis problem solution: Biorefinery network
Lipids
Sugar productionSugarcane Sugar
Molasses Citric acid fermentation Citric acid
Lactic acid fermentation Lactic acid
L-lysine fermentation L-lysine acid
Hardwood chips
Switchgrass
Wheat straw
Cassava rhizome
Corn stover
Sugarcane bagasse
Dilute acid pretreatment
Lime pretreatment
Controlled pH pretreatment
ARP pretreatment
AFEX pretreatment
STEX pretreatment Int2
NREL hydrolysis
Conc. acid hydrolysis
Dilute acid hydrolysis
Int3 Ethanol fermentation Int4Ethanol
purification Ethanol
Lignocellulose
Size reduction
Gasification
Int5 Reforming Int6 LT Fischer-Tropsch
HT Fischer-Tropsch
Methanol synthesis Int7
Methanol purification Methanol
Methanol (int) Methanol to gasoline
Gasoline-diesel mix
Gasoline-diesel sep. Gasoline
Diesel
Virgin palm oil
WC palm oil
Microalgae
Alkali-cat. transesterif.
Acid-cat. esterification
Triglycerides Int8
Acid-cat. transesterif.
-
SFEC transesterif.
CSEC transesterif.
Phase separation Organic phase
Aqueous phase
FAME purification
Glycerol purification
Diesel
Glycerol
Open pond cultivation
PBR cultivation
Int9 Flocculation polyelectrolyt.
Flocculation NaOH
Flocculation PGA
Flocculation chitosan
Bio-flocculation
Centri-fugation
Autofloccula-tion (high pH)
Microfilt. + centrifugat.
Microalgae (int)
DR+US
DR+GR+ MW+US
Drying
Int10 GR-assisted LE
US-assisted LE by IL
US+MW- assisted LE
Wet LE
SE (Bligh-Dyer method)
SE (modifed Bligh-Dyer)
Supercritical fluid extract.
Extraction IL mixture
Extraction IL [Bmim][MeSo5]
Alkaline insitu transesterif.
Acidic insitu transesterif.
Enzym. insitu transesterif.-
Dry micro-algae (int)
Residue Enzymatic hydrolysis Int15 Fast pyrolysis
Ethanol fermentation
Anaerobic digestion
GR in liquid nitrogen
Int11
Int12
Int14
- Int13
Bio-oil
Ethanol
Biogas
Oil palm fruit Oil extraction
SPEED
8
Stage-2: Design Stage – CO2 conversion
CO2 Conversion Network
Mixing 1 Intermediate Production Mixing 2 Product 1 Conversion Purification Product 2 Conversion Purification 2 ProductsCapture Step 1Capture MixingFeedstock Capture Step 2 Mixing 3Splitter
Mixing Intermediate
Intermediate Production 2
M3
M1
M3
M1
M2
meohdirsyn
comref meohsynsyn
comref
meohdirsyn
meohsynsyn
dryref meohsyn2syn
dmesyn
S1
dmedirsyn
H2
H2
CH4, H2O
CH4, H2O
CH4
H2O
CO2
MeOH
DME
S2
Purge
Purge
S1
S2
Purge
Purge
S4
S5Purge
Purge
M5
M6
M7
NH3
C2H4O
C3H6O
ureasyn
ecsyn
pcsyn
DMCDirSyn
DMCUreaSyn
DMCECSyn
DMCPCSyn
S6
Purge
S7
Purge
S8
Purge
S9
Purge
NH3
PG
EG
DMC
CapM1 CapABS1 Splitter
M8
coalCO2_1
M2 dryref meohsyn2syn
CH4
M2 dryref
CH4
S3
Purge
M9
M10
M11
M4
H2
S3
Purge
M4
H2
MEA, H2O
Flue gas
MEA, H2O
CapDES1
M3
M1
meohdirsyn
comref meohsynsyn
S1
H2
CH4, H2O
S2
Purge
Purge
M2 dryref meohsyn2syn
CH4
S3
Purge
M4
H2
dryref*
dryref*
dryref*
dryref*
meohsynsyn*
meohsynsyn*
dmedirsyn* dmedirsyn**
meohsynsyn*
BP
BP
BP
Model and Solver
Number of equations 450663
Number of variables 444505
Discrete variables 176
Problem type MIP
Solver CPLEX
Superstructure for stage -1
IETS Experts Workshop, Berlin, 4-5 April 2017
SPEED
IETS Experts Workshop, Berlin, 4-5 April 2017 9
Sustainable Product-Process Development
Design targets:more profit; lessenergy consumption; less waste; lowerenvironmental impact; …..
SPEED Biodiesel production: 2-stage analysis
IETS Experts Workshop, Berlin, 4-5 April 2017 10
MIX-100
P-101
E-100
MIX-101
P-102
P-103
MIX-103
R-101
T-101
E-103RCY-1
E-104
Cutter-1
V-101
Flash-2Cutter-2
E-106
T-102
RCY-2
T-103
T-104
RCY-3
E-105
E-107OP 3
E-101
E-102
Flash-1
V-100
OP 4CP 2
Path MVA Probability Path TVA Probability
OP3 –14174.30098 High OP3 –14898.0917 High
OP4 –2047.234859 High - - -
C 2 496.6545095 High C2 496.6545095 High
SPEED
11
Stage-2: Design analysis
Absorber Desorber
Flue gas
MEA
F-EO
F-CO2
R-EC synthesisV-101
R-GAS
F-EC
F-MEOH
R-DMC synthesisEC route V-202
V-203
V-204
V-201
CAPTURE STEP 1
CAPTURE STEP 2
INTERMEDIATE PRODUCTION
MIXING 1
MIXING 3
PRODUCT 2 CONVERSION
PURIFICATION 2
F-MIX 2 PROD-1
PROD-2 P-DMC
Excess Feed
P-EGEG
PURGE
RECYCLE
Clean flue gas
CO2
H-101
E-101
C-102
R-103
E-103
Natural gas
HP steam
HP steam
C-101
T-101 T-102
Water
F-101
Dry syngas
E-102Air
Flue gas
Fuel gas
R-101 R-102
Purge
F-102
C-103
Recycle
Off-gas
P-101
P-102
E-104
Bottleneck: energy intensive separation
Parameter Value Unit
CAPEX 20.39 Million $
OPEX 13.41 Million $/year
Net CO2 4.97 kgCO2/kgDMC
Indirect CO2 (energy) 4.76 kgCO2/kgDMC
CO2 utilized 1.79 kgCO2/kgDMC
CO2 direct 2.00 kgCO2/kgDMC
IETS Experts Workshop, Berlin, 4-5 April 2017
SPEED
IETS Experts Workshop, Berlin, 4-5 April 2017 12
Innovative, sustainable & intensfied designs for stage 3
Note: for existing process, stage-1 is not necessary and we start with stage-2 to define the targets for
sustainable & innovative design
SPEED
IETS Experts Workshop, Berlin, 4-5 April 2017 13
Sustainable Product-Process Development
Design targets:more profit; lessenergy consumption; less waste; lowerenvironmental impact; …..
SPEED Tasks to Phenomena (SPB)
IETS Experts Workshop, Berlin, 4-5 April 2017 14
SPB Interconnection Phenomena In OutSPB.1 M 1..n(L) 1(L)SPB2 M=R 1..n(L) 1(L)SPB.7 M=R=2phM=PC=PT(VL) 1..n(L,VL) 1(V/L)SPB.8 M=R=2phM=PC=PT(VL)=PS(VL) 1..n(L,VL) 2(V;L)SPB.9 M=R=2phM=PC=PT(PVL)=PS(VL) 1..n(L,VL) 2(V;L)
SPB.58 D 1(L;VL,V) 1..n(L;V; VL)
SPB Interconnection Phenomena In OutM=R=H=C 1..n(L) 1(L)
SPB Interconnection Phenomena In OutSPB.7 M=R=2phM=PC=PT(VL) 1..n(L,VL) 1(V/L)
SPB Interconnection Phenomena In OutSPB.8 M=R=2phM=PC=PT(VL)=PS(VL) 1..n(L,VL) 2(V;L)SPB.9 M=R=2phM=PC=PT(PVL)=PS(VL) 1..n(L,VL) 2(V;L)
Reduced from 4017→58 using connectivity rules
Connectivity Rules:1. H+C should not exist in
the same SPB2. PC phenomena exists
together with PT phenomena
3. SPB can contain simultaneous R and separation
R, Ml, MT, MR MV, 2phM, PC(V-L), PT(V-L), PT(P:V-L), PS (V-L), D, H, C 13 in total
Lutze et al. (2013)
Table 3
ϕ/ϑLoStOpPc
Reaction Present*
Reaction is inside the 1st unit operation (Unit-Op)*
The product purity is defined so in the base case design the reactor effluent is connected to a separation sequence*
EFFiciencyDo not integrate phenomena which inhibit each other’s performance*
Add phenomena and stages in the flowsheet in which it has the highest efficiency*
EnergyDo not connect phenomena to a series with alternating heat addition and heat removal*
Remove options in which phenomena are heated/cooled leading to a decrease of the efficiency*
Flowsheet SimplificationRemove options with redundant stages*
Do not use recycle streams if not necessary*
WasteDo not use two different solvents in one process*
$ DMC/ton DMCAllow a fixed number of Unit-Ops. Maximum number of Unit-Ops=2*
Ensure that phenomena are connected to ensure the best use or recycle of raw materials*
Raw materials are pure*
Yield ≥90%*
PI screening criteria: Novel equipment*
Analysis of split factors
CompoundMolar flow in ηi,in [mol/s]Molar flow out, ηi,out [mol/s]Split factor σsep,i
PCa6.5
MeOH13
DMC-
PDi-
Identification of Phenomena
Unit OperationPhenomena
ReactorR (V), M (V), C (V)
Distillation columnM (V-L), PC (V-L), PT (V/L), PS (V/L)
Liquid-Liquid SeparatorM (L), PC (L-L), PS (L/L)
DecanterPS (L/L)
V-Vapour, L-Liquid
T.BP
ComponentTB [K]Tm[K]
HOAc391.15289.75
MeOH338.15175.55
MeOAc330.05175.15
H20373.15273.15
EthOAc350.25189.55
DMSO462.00291.65
Azeotrope Search
Binary PairAzeotrope T(K), x (mole %)
MeOAC/H2O329.8K, 92.8% MeAc
MeOAc/MeOH326.4K, 68.6% MeAc
HOAc/H2O371.8K, 15.7% HOAc
Collection & Analysis of PCP
ComponentTB [K]
HOAc391.15
MeOH338.15
MeOAc330.05
H20373.15
EthOAc350.25
DMSO462.00
ComponentMolecular Weight (MW) [kg/kmol]TB [K]TM [K]log (Ws) i.e. log (mg/l)log (Kow)Radius of gyration, Rg [Å]Molar Volume, VM [m3/kmol]Van der Waals Volume, VdV [m3/kmol]Solubility Parameter δSP [MPa0.5]
H2O18.00373.15273.155.45-1.380.620.060.0147.80
MeOH32.04337.95175.555.030.011.560.040.0229.59
HOAc60.05391.05289.755.25-0.172.610.180.0419.01
MeOAc74.08329.95175.154.880.333.020.080.0519.35
Estimated from Marrero‐Gani‐Approach
Estimated from ASPEN
PropertyH2O /MeOHH2O /HOAcH2O /MeOAcMeOH /HOAcMeOH /MeOAcHOAc /MeOAc
TB [K]1.1040.9541.1310.8641.0241.185
TM [K]1.5560.9431.5600.6061.0021.654
log (Ws) i.e. log (mg/l)1.0831.0381.1170.9581.0311.076
log (Kow)-138.0008.118-4.182-0.0590.030-0.515
Radius of gyration, Rg [Å]0.3940.2360.2040.5990.5170.864
Molar Volume, VM [m3/kmol]1.2560.3110.6880.2480.5482.211
Van der Waals Volume, VdV [m3/kmol]0.5700.2910.2740.5100.4800.941
Solubility Parameter δSP [MPa0.5]1.6152.5142.4701.5571.5290.982
Enthalpy of Formation
CompoundΔHf [kJ/mol]ν
H2O-285.831
MeOH-239.11-1
HOAc-484.09-1
MeOAc-442.791
ΔHf [kJ/mol]-5.42
-4
Equilibrium Caculation
X0.000218781
nA0.0002961
nB0.0041454
Keq45
Keqcalc45.0289141127
nA-X0.000077319
ConvA0.7388753794
nB-X0.003926619
ConvB0.0527768128
Table9
Unit-OpPhenomenaOperating Window
ReactorReaction (R)Tlow=175.15K (Lowest Melter)
Thigh=378,15 (Maximum T for reactor operation)
Vapour Mixing (MV)Tlow=330,05K (Lowest boiler)
Thigh=391,05 (Highest Boiler)
All concentrations are below the dew point line
DistillationMldTlow=175.55K (Lowest Melter)
Thigh=391,05 (Highest Boiler)
Vapour Mixing (MV)Tlow=326,41K (Lowest boiling azeotrope)
Phase Contact (PC) V-LV-L present
Phase Transition (PT)Tlow=326,41K (Lowest boiling azeotrope)
Thigh=391,05 (Highest Boiler)
Phase Separation (PS)V-L present
All concentrations are below the dew point line
LLSMIdTlow=175.55K (Lowest Melter)
Thigh=391,05 (Highest Boiler)
Phase Contact (PC) L-LL-L present
Phase Separation (PS)L-L present
DecanterPhase Separation (PS)L-L present
Table 10
Limitation/Bottleneck
Necessary TaskRRRRSSS
Desireable TaskSHSMRRMS
Separation is not sufficient
limiting equilibrium
azeotrope
high energy demand
limited mass transfer
limited heat transfer
driving forces too low
Reaction is not sufficient
contact problems of educts; limited mass transfer
product reacts further/is intermediate
activation problems
degradation by T
degradation by pH
difficulties to control conditions, reaction too exotherm/endotherm
limiting equilibrium
R-reaction, S-Separation, HS-Heat Supply, M-mixing
Particular intensified option is reported to overcome this limitation
The activation of an option through a knowledge search
Table 11&12-modified
Separation TypeImportant PCPReaction is not sufficientMeOAc/HOAc+ MeOH+H2OH2O/HOAc+ MeOH+MeOAcMeOAc+H2O/HOAc+MeOHReaction of co-product-H2O
V-LTb***
S-LTM**
L-Llog (Kow), δSP**
L-separationVM, Rg, δSP, VdV**
L-pervaporationVM, Rg, δSP, VdV**
V-permeationVM, Rg, δSP, VdV**
G-LTb, δSP***
R-
Separation TypeImportant PCPReaction is not sufficientMeOAc/HOAc+ MeOH+H2OH2O/HOAc+ MeOH+MeOAcMeOAc+H2O/HOAc+MeOHReaction of co-product-H2O
V-LTb***
S-LTM**
L-Llog (Kow), δSP**
L-separationVM, Rg, δSP, VdV**
L-pervaporationVM, Rg, δSP, VdV**
V-permeationVM, Rg, δSP, VdV**
G-LTb, δSP***
R-
Table13
ClassMixingPhase TransitionPhase SeparationPhase ContactDividerEnergy TransferReaction
Sub-class1-Phase2-PhaseV-LV-LV:VL:LV-LV:VL:L-Thermal-
PhenomenaMIDMFl,tubMFl,recMV2phMPT (V-L)PT (P:V-L)PS (V-L)PS (V:V)PS (L:L)PC (V-L)PC (V:V)PC (L:L)DHCR
Selection use for belows2s10s11s1/s3s4/s5/s8s5/s6/s7s12s6/s7/s12s13/s14s9s5/s6/s12s13/s14s8/s9s1/s6/s11/s15s1/s6/s11/s16s1
Mixing1-PhaseMIDI
MFl,tubI
MFl,recI
MVI/s1s1
2-Phase2phMI/s5/s8s5s8
Phase TransitionV-LPT(V-L)I/s5/s7s7s5
PT(P:V-L)I
Phase SeparationV-LPS(V-L)s6s12I/s6/s12
V:VPS(V:V)I/s14s14
L:LPS(L:L)I/s8s8
Phase ContactV-LPC(V-L)s6s12I/s6/s12
V:VPC(V:V)s13I/s13
L:LPC(L:L)s9I/s9
Divider-Dccccccccccccccc
Energy TransferThermalHs6s12I/s1/s6/s12s1
Cs6s12I/s1/s6/s12s1
Reaction-RI
NotesFor Mixing the inlet could be either liquid of vapour
ClassMixingPhase TransitionPhase SeparationPhase ContactDividerEnergy TransferReaction
Sub-class1-Phase2-PhaseV-LV-LV-L-Thermal-
PhenomenaMIDMFl,tubMFl,recMV2phMPT(V-L)PT(P:V-L)PS(V-L)PC(V-L)DHCR
Selection use for below123457.17.2861011129
Mixing1-PhaseMID+xxxx
MFl,tub+xxxx
MFl,rec+xxxx
MV+x
2-Phase2phM+xxx
Phase TransitionV-LPT(V-L)+x
PT(P:V-L)+x
Phase SeparationV-LPS(V-L)+
Phase ContactV-LPC(V-L)xx+
Divider-DAAAAAAAAA+AAA
Energy TransferThermalHx+x
Cx+x
Reaction-Rx+
Table14
No.PhenomenaOperating Window (OPW)
PB.1MID (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.2MFl,tub (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.3MFl,rec (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.4MV (Concentrations above boiling point line)Tlow=326,4K (Lowest boiling azeotrope)
PB.52phM (Concentrations in V‐L regions between dew and boiling point lines.)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.6PT(V-L) (Concentrations in V‐L regions between dew and boiling point lines)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.7PT(P:V-L)Tlow=175.55 (Melting point of Methanol)
Thigh=GET VALUE (Membrane Stability)
PB.8PS(V-L)V-L present
PB.9PS(V:V)V-V present
PB.10PS(L:L)L-L present
PB.11PC(V-L)V-L present
PB.12PC(V:V)V-V present
PB.13PC(L:L)L-L present
PB.14D-
PB.15H-
PB.16C-
PB.17RTlow=175.55 (Lowest Melter)
Thigh= 393K (Catalyst degradation T)http://goo.gl/w9UiS
No.PhenomenaOperating Window (OPW)
PB.1MID (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.2MFl,tub (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.3MFl,rec (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.4MV (Concentrations above boiling point line)Tlow=326,4K (Lowest boiling azeotrope)
PB.52phM (Concentrations in V‐L regions between dew and boiling point lines.)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.6PT(V-L) (Concentrations in V‐L regions between dew and boiling point lines)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.7PT(P:V-L)Tlow=175.55 (Melting point of Methanol)
Thigh=GET VALUE (Membrane Stability)
PB.8PS(V-L)V-L present
PB.9PC(V-L)V-L present
PB.10D-
PB.11H-
PB.12C-
PB.13RTlow=175.55 (Lowest Melter)
Thigh= 393K (Catalyst degradation T)
Table14_modified
No.PhenomenaOperating Window (OPW)
PB.1MID (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.2MFl,tub (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.3MFl,rec (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.4MV (Concentrations above boiling point line)Tlow=326,4K (Lowest boiling azeotrope)
PB.52phM (Concentrations in V‐L regions between dew and boiling point lines.)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.6PT(V-L) (Concentrations in V‐L regions between dew and boiling point lines)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.7PT(P:V-L)Tlow=175.55 (Melting point of Methanol)
Thigh=GET VALUE (Membrane Stability)
PB.8PS(V-L)V-L present
PB.9PS(L:L)L-L present
PB.10PC(V-L)V-L present
PB.11PC(L:L)L-L present
PB.12D-
PB.13H-
PB.14C-
PB.15RTlow=175.55 (Lowest Melter)
Thigh= 393K (Catalyst degradation T)http://goo.gl/w9UiS
NSPB_Calc
ABA!B!A!*B!ABA!B!A!*B!
1113991680013991680012121479001600147900160013
102362880027257600661123991680027983360078
93362880621772802201033628800621772800286
84403202496768049594362880248709120715
755040120604800792854032012048384001287
6672072051840092476504072036288001716
57120504060480079267720504036288001716
482440320967680495581204032048384001287
39636288021772802204016
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reached49243628808709120715
2102362880072576006631063628800217728002868099
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reached
11113991680039916800122112399168007983360078
01214790016004790016001112147900160047900160013
0131622702080062270208001
np,max9
np,tot13np,max10
NSPB4017
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the
divider
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reachednp,tot14
NSPB8100
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the divider
ABA!B!A!*B!
212123
121223
0316617
np,max3
np,tot4
NSPB8
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the divider
ABA!B!A!*B!
13162270208001622702080014
122479001600295800320091
113399168006239500800364
104362880024870912001001A
95362880120435456002002
8640320720290304003003
7750405040254016003432
6872040320290304003003
59120362880435456002002
410243628800870912001001
31163991680023950080036416277
np,max11
np,tot15
NSPB16278
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the divider
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reached
SPB's_rev1
SPBInterconnection Phenomena InOut
SPB.1M1..n(L)1(L)
SPB.2M=R1..n(L)1(L)
SPB.3M=H1..n(L)1(L)
SPB.4M=C1..n(L)1(L)
SPB.5M=R=H1..n(L)1(L)
SPB.6M=R=C1..n(L)1(L)
SPB.7M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.8M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.9M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.10M=R=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.11M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.12M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.13M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.14M=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.15M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.16M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.17M=C=2phM=PC=PT(PVL)=PS(VL)1..n(VL)2(V;L)
SPB.18M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.19M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.20M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.21M=R=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.22M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.23M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.24M=R=C=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.25M1..n(L)1(L)
SPB.26M=R1..n(L)1(L)
SPB.27M=H1..n(L)1(L)
SPB.28M=C1..n(L)1(L)
SPB.29M=R=H1..n(L)1(L)
SPB.30M=R=C1..n(L)1(L)
SPB.31M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.32M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.33M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.34M=R=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.35M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.36M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.37M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.38M=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.39M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.40M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.41M=C=2phM=PC=PT(PVL)=PS(VL)1..n(VL)2(V;L)
SPB.42M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.43M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.44M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.45M=R=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.46M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.47M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.48M=R=C=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.49M1..n(L)1(L)
SPB.50M=R1..n(L)1(L)
SPB.51M=H1..n(L)1(L)
SPB.52M=C1..n(L)1(L)
SPB.53M=R=H1..n(L)1(L)
SPB.54M=R=C1..n(L)1(L)
SPB.55M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.56M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.57M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.58M=R=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.59M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.60M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.61M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.62M=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.63M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.64M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.65M=C=2phM=PC=PT(PVL)=PS(VL)1..n(VL)2(V;L)
SPB.66M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.67M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.68M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.69M=R=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.70M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.71M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.72M=R=C=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB's_rev2
SPBInterconnection Phenomena InOut
SPB.1M1..n(L)1(L)
SPB.2M=R1..n(L)1(L)
SPB.3M=H1..n(L)1(L)
SPB.4M=C1..n(L)1(L)
SPB.5M=R=H1..n(L)1(L)
SPB.6M=R=C1..n(L)1(L)
SPB.7M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.8M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.9M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.10M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.11M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.12M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.13M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.14M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.15M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.16M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.17M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.18M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.19M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.20M1..n(L)1(L)
SPB.21M=R1..n(L)1(L)
SPB.22M=H1..n(L)1(L)
SPB.23M=C1..n(L)1(L)
SPB.24M=R=H1..n(L)1(L)
SPB.25M=R=C1..n(L)1(L)
SPB.26M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.27M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.28M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.29M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.30M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.31M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.32M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.33M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.34M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.35M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.36M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.37M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.38M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.39M1..n(L)1(L)
SPB.40M=R1..n(L)1(L)
SPB.41M=H1..n(L)1(L)
SPB.42M=C1..n(L)1(L)
SPB.43M=R=H1..n(L)1(L)
SPB.44M=R=C1..n(L)1(L)
SPB.45M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.46M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.47M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.48M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.49M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.50M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.51M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.52M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.53M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.54M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.55M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.56M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.57M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.58D1(L;VL,V)1..n(L;V; VL)
SPBInterconnection Phenomena InOut
SPB.1M1..n(L)1(L)
SPB2M=R1..n(L)1(L)
SPB.7M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.8M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.9M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.58D1(L;VL,V)1..n(L;V; VL)
SPBInterconnection Phenomena InOut
SPB.1M=R=H=C1..n(L)1(L)
SPBInterconnection Phenomena InOut
SPB.7M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPBInterconnection Phenomena InOut
SPB.8M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.9M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPBInterconnection Phenomena InOut
SPB.8M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)Process OptionStage1Stage 2Stage 3
1M=RM=RM=R=C=2phM=PC=PT(VL)=PS(VL)
Process OptionStage1Stage 2Stage 3
1MMM=H=2phM=PC=PT(L=>V)
2MMM=C=2phM=PC=PT(V=>L)
3M=R=2phM=PC=PT(PVL)=PS(VL)M=R=2phM=PC=PT(PVL)=PS(VL)M=R=2phM=PC=PT(PVL)=PS(VL)
Figures5&6
ACM NameNew NameDuty [W]Duty [kW]
Condenser1.QcT1.cond2517324.19432517.3241942669
Condenser2.QcT2.cond5686907.72975686.9077296983
Condenser3.QcT3.cond9194730.99649194.730996449
Condenser4.QcT4.cond1229990.15711229.9901571143
Reboiler1.QhT1.reb2769550.68542769.5506854236
Reboiler2.QhT2.reb5736528.56435736.5285642791
Reboiler3.QhT3.reb5748382.83325748.3828331897
Reboiler4.QhT4.reb1276645.64081276.6456408204
DMC_Cooler.QcDMC.cool289403.3666289.4033665544
PDO_Cooler.QcPDO.cool440295.8373440.2958373021
PC_Cooler.QcPC.cool201485.93201.4859287002
Heater_Feed2.Q_exFeed.heat365456.47365.4564711572
Heater_PS.Q_exPressure Swing.heat431976.77431.9767679506
T1.condT2.condT3.condT4.cond2517324.19426693125686907.72969832189194730.99644899551229990.1571143158T1.rebT2.rebT3.rebT4.reb2769550.68542361915736528.56427907945748382.83318965231276645.6408204371DMC.coolPDO.coolPC.cool289403.36655436386440295.83730209945201485.9287001518Feed.heatPressure Swing.heat365456.47115721332431976.76795063878T1.condT2.condT3.condT4.condDMC.coolPDO.coolPC.cool2517324.19426693125686907.72969832189194730.99644899551229990.1571143158289403.36655436386440295.83730209945201485.9287001518T1.rebT2.rebT3.rebT4.rebFeed.heatPressure Swing.heat2769550.68542361915736528.56427907945748382.83318965231276645.6408204371365456.47115721332431976.76795063878
Analysis of SPB's
SPB'sSPBCoCrossflowCounter current
SPB.1, SPB.20, SPB.39, SPB.58MNo reactionNo reactionNo reaction
SPB.3, SPB.23, SPB.42M=CNo reactionNo reactionNo reaction
SPB.2, SPB.21, SPB.40M=R0.729/inf1 phase1 phase
SPB.5, SPB.24, SPB.43M=R=H0.725/inf1 phase1 phase
SPB.6, SPB.25, SPB.42M=R=C0.733/inf1 phase1 phase
SPB.7, SPB.26, SPB.45M=Mv=R=2pM=PC=PT(VL)0.729/infno separate phasesno separate phases
SPB.8, SPB.27, SPB.46M=Mv=R=2pM=PC=PT(VL)=PS(VL)
Reaction Analysis
Heat Capacity Data, obtained from ICAS
Expression=A+B*T+C*T^2+D*T^3+E*T^4J/kmolK
HOAc139640-320.80.8985
MeOH105800-362.230.9379
MeOAc61260270.9
Water276370-2090.18.125-0.0141169.37E-06
Tref=303.15KT0=303.15T0=313.15T0=323.15
Xe(T)XEB(T)XEB(T)XEB(T)
TXeXEBXEBXEB
303.150.73699386160
304.150.73658152240.063896894
305.150.73617147480.1284984414
306.150.73576370070.1937937385
307.150.7353581820.2597705869
308.650.73475409410.3599838129
309.150.734553840.3937134824
310.150.73415498170.461648383
311.150.73375830870.5302024899
312.150.73336380390.5993566993
313.150.73297145050.669090459
3140.7326396290.72880342340
314.060.73261626430.73303330810.0593519558
314.150.73258123160.73938175380.0652517854
315.150.73219313070.81020709520.1311613016
316.150.73180713130.88154151450.197712032
317.150.73142321710.95335856060.2648860501
318.150.7310413721.0256303030.332664001
319.150.730661581.09832733850.4010250865
320.150.73028382541.17141880440.4699470536
321.150.72990809241.24487239540.5394061877
322.150.72953436561.31865438790.6093773096
323.150.72916262961.39272966770.67983377750
323.850.72890359070.72942709770.046634863
324.150.72879286910.75074749360.0667120247
325.150.72842506920.82208891560.1340199229
330.150.72661496010.4786570939
332.150.72590412880.6197814048
333.150.72555148780.6909220764
333.630.72538287130.725192799
334.150.72520067790.7624035615
335.150.72485168570.8341905546
Kremser Example
Example taken from Page 170, SEPARATION PROCESS PRINCIPLES 2ND ED
[email protected], 400 psiaA=L0/KiV0Si=1/AphiA
C16.650.0310150376
C21.640.1257621951
C30.5840.3531678082
nC40.1951.05769230770.9454545455
nC50.07132.89270687240.3456969697
Oil0.00010.0004848485
CompOil composition [lbmol/h]CompFeed gas Composition [lbmol/h]
C40.05C1160
C50.78C2370
Oil164.17C3240
L0165nC425
nC55
V0800
M=R=2phM=PC(VL)=PT(VL)=PS(VL)
InitialAnalysis of M=Mv=R=2pM=PC=PT(VL)=PS(VL)ConversionCalcuation of xi initial
xHOAcxMeOHxMeOAcxH2OT[K]xHOAcxMeOHxMeOAcxH2OyHOAcyMeOHyMeOAcyH2OKHOAcKMeOHKMeOAcKH2OWalWBlWClCheckWAVWBVWCVCheckV [kmol/hr]L [kmol/hr]XMeOHXHOAcFeed1kmol/hr
0.09090909090.909090909100339.48863.49E-040.75735480.02339480.21890164.17E-050.82251870.09558310.08185651.19E-011.08604144324.08565578680.37394199042.32E-027.63E-012.14E-011.00E+008.73E-028.38E-017.48E-021.00E+000.93439560.06560440.84710194120.9993201765Molar Ratio1.56HOAc:MeOH
0.13043478260.869565217400339.9187.33E-040.67016120.03216060.29694519.19E-050.74809380.14275750.10905671.25E-011.11628933464.43889417490.36726216393.18E-026.80E-012.88E-011.00E+001.25E-017.80E-019.55E-021.00E+000.88709390.11290610.76734971590.998740252NHOAc0.609375kml/hr
0.16666666670.833333333300340.47071.23E-030.58553570.03741370.37581861.66E-040.67880110.18510490.13592841.34E-011.15928217534.94751655140.36168619653.72E-026.00E-013.63E-011.00E+001.56E-017.29E-011.15E-011.00E+000.87311970.12688030.7169059840.9981946015xHOAc0.609375
0.20.800340.86931.82E-030.51272390.0411640.44428992.62E-040.61538640.22639180.15796011.44E-011.20022959735.49975221070.3555338534.12E-025.31E-014.28E-011.00E+001.85E-016.86E-011.29E-011.00E+000.85488150.14511850.66507014390.9975592475xMeOH0.390625
0.23076923080.769230769200341.25352.48E-030.44606810.0429040.50854353.84E-040.55664120.26515480.17781961.55E-011.24788389936.18018832740.3496644834.34E-024.68E-014.89E-011.00E+002.10E-016.49E-011.41E-011.00E+000.8420630.1579370.6181539850.9968970281
0.25925925930.740740740700341.62293.20E-030.38517510.0429990.56862625.38E-040.50207910.30167350.19570981.68E-011.30350871597.01582594940.34418006064.42E-024.09E-015.47E-011.00E+002.32E-016.17E-011.51E-011.00E+000.83222720.16777280.57382822370.9962035029
0.28571428570.714285714300341.8613.98E-030.3324790.04268410.62085827.22E-040.45140020.33780060.2100771.82E-011.35768033477.91396796470.33836550764.46E-023.58E-015.97E-011.00E+002.53E-015.90E-011.57E-011.00E+000.81906210.18093790.52842719080.9954099074
0.31034482760.689655172400342.20654.78E-030.28218180.04068280.67235179.54E-040.40379170.37054040.2247141.99E-011.43096294669.10803582840.33422091444.35E-023.09E-016.48E-011.00E+002.71E-015.65E-011.65E-011.00E+000.81244080.18755920.48674649910.9946115711
0.31972789120.680272108800342.31885.13E-030.26398650.03988420.69100331.06E-030.38560.38349740.22984282.07E-011.46068075459.61527121020.33262185584.31E-022.91E-016.66E-011.00E+002.78E-015.55E-011.67E-011.00E+000.80907110.19092890.46980140650.9942569355
0.38650306750.613496932500343.08278.59E-031.47E-010.03330460.81096592.34E-030.25403860.4803950.26322292.73E-011.726558730114.42428373260.32457949224.02E-021.73E-017.87E-011.00E+003.26E-014.95E-011.79E-011.00E+000.78170.21830.33553943790.9904066232
0.43502824860.564971751400343.67710.01461130.07931470.02959030.87648354.84E-030.15560450.55494860.28461133.31E-011.961862050818.75440938420.32471951844.23E-021.04E-018.53E-011.00E+003.59E-014.56E-011.86E-011.00E+000.75802910.24197090.22144950430.9834469194
0.47089947090.529100529100344.16160.02844150.04096040.03029920.90029880.01024020.0847890.60815360.2968173.60E-012.070023730220.0716058510.32968721055.55E-026.73E-028.77E-011.00E+003.82E-014.28E-011.90E-011.00E+000.73645380.26354620.13310994370.9680673172
0.48979591840.510204081600344.37310.04850320.02686610.03550510.88912550.01692030.05372850.63115650.29819473.49E-011.9998622817.77650253060.33537976367.75E-025.75E-028.65E-011.00E+003.93E-014.16E-011.91E-011.00E+000.71939420.28060580.09528534660.9473604333
0.49238578680.507614213200344.62140.05250230.02503780.03607370.88638610.01836850.05014540.63054060.30094543.50E-012.002787784917.47923279290.33951953898.14E-025.61E-028.62E-011.00E+003.94E-014.13E-011.94E-011.00E+000.72066010.27933990.09104296850.9433301427
0.50.500344.91250.06719850.02118410.04035940.87125790.02275130.04111376.34E-010.30227883.39E-011.940781057515.70529046520.34694526169.71E-025.56E-028.47E-011.00E+003.96E-014.07E-011.96E-011.00E+000.71476620.28523380.08179732540.9291417125
0.50738916260.492610837400345.24930.08519150.01840860.04624270.8501570.02760860.03427320.63479690.30332123.24E-011.861803722213.72750509810.35678257071.16E-015.71E-028.27E-011.00E+003.98E-014.02E-011.99E-011.00E+000.70805120.29194880.07666855680.9124540652
0.52153110050.478468899500345.63060.12805920.01560040.06481340.79152690.03664820.02583480.63761160.29990532.86E-011.65603446079.83765085620.37889464021.62E-016.74E-027.71E-011.00E+004.03E-013.96E-012.01E-011.00E+000.6827320.3172680.07984123720.8741206707
0.52606635070.473933649300346.0520.14288090.01471130.07022350.77218420.04012110.02384650.63353460.30249782.81E-011.62096483669.02168932050.39174305821.76E-017.00E-027.54E-011.00E+004.03E-013.93E-012.05E-011.00E+000.67953770.32046230.08167511920.8611358781
0.57081545060.429184549400348.02960.27492430.0109520.13614360.577980.0656180.0146050.62352190.2962552.39E-011.33354638424.57988403420.51256963912.91E-011.04E-016.04E-011.00E+004.08E-013.78E-012.14E-011.00E+000.57448250.42551750.15452993790.7290166317
0.6093750.39062500350.30610.36221568.06E-030.16206930.46765110.09028030.01065220.60652250.29254492.49E-011.3209688083.74236514870.62556230493.44E-011.12E-015.44E-011.00E+004.11E-013.64E-012.26E-011.00E+000.49322440.50677560.22370995430.6256976823
0.61538461540.384615384600350.9010.37654387.54E-030.1619880.45392320.0959660.01007510.59996790.29399082.55E-011.33533642853.70377990960.64766638943.50E-011.10E-015.40E-011.00E+004.10E-013.60E-012.30E-011.00E+000.48825760.51174240.22832005660.6107319703
0.62962962960.370370370400351.52680.402026.87E-030.16818670.42292630.10420069.20E-030.5972550.28934492.59E-011.33969182743.55114286680.6841496973.63E-011.11E-015.25E-011.00E+004.12E-013.56E-012.31E-011.00E+000.45274990.54725010.25975431190.5756516468
0.66666666670.333333333300354.12550.47165365.01E-030.16807690.35526060.13452097.07E-030.57374560.28466222.85E-011.41175425393.41358985080.8012771473.90E-011.06E-015.04E-011.00E+004.15E-013.40E-012.45E-011.00E+000.39302260.60697740.31439415210.4912707554
0.750.2500360.04160.60783362.48E-030.1488780.24081040.21576214.10E-030.51586930.26426813.55E-011.65480600823.46504721991.09741149054.31E-018.62E-024.83E-011.00E+004.23E-013.00E-012.77E-011.00E+000.2676080.7323920.44053769970.3294504933
0.80.200364.3680.68786561.49E-030.12592540.18471760.28531412.82E-030.46399030.2478714.15E-011.89388036983.68464424171.34189162274.49E-017.02E-024.81E-011.00E+004.28E-012.67E-013.05E-011.00E+000.21385850.78614150.49799627710.247779325
0.83333333330.166666666700367.27090.73703961.04E-030.11043940.15148520.33833282.16E-030.42757560.23193164.59E-012.08530522013.87158568411.53105121824.59E-016.03E-024.81E-011.00E+004.34E-012.43E-013.23E-011.00E+000.17341610.82658390.54997193870.198523094
0.85714285710.142857142900370.45940.78228046.94E-040.09155210.12547290.40091441.61E-030.37811640.21935945.12E-012.31783244884.13006801591.74826117834.66E-014.92E-024.84E-011.00E+004.38E-012.13E-013.49E-011.00E+000.1760490.8239510.5300252750.1656684868
0.88888888890.111111111100373.99350.83059514.16E-040.07310920.095880.47945651.09E-030.32478070.19467435.77E-012.61855273294.44240533342.03039528584.75E-013.86E-024.87E-011.00E+004.46E-011.81E-013.74E-011.00E+000.14894810.85105190.56143689910.1244196182
0.90.100375.26150.84676783.39E-040.06681850.08607430.50982949.29E-040.30498640.18425526.02E-012.73721939534.56440057772.1406529014.77E-013.51E-024.87E-011.00E+004.49E-011.69E-013.82E-011.00E+000.13755410.86244590.57755155230.1106438426
0.90909090910.090909090900376.57910.86234752.73E-040.06011450.07726480.54235167.82E-040.28247390.17439236.29E-012.86419508984.69893120632.25707307864.80E-013.14E-024.89E-011.00E+004.52E-011.55E-013.93E-011.00E+000.13694820.86305180.57188004490.0996228988
Feed, from the RD paper by Pöpken, the ration or HOAC:MeOH should be 1.56
Rectifying Section
Need to convert to groupsAbsorption: Water is removed from the V phase
GroupsC2H2OCH4OH2Oalpha
ABC
C2H2OCH4OH2O
C2H4O2101
CH4O010ReactionAC+B=AB+C
C3H6O2110
H2O001
Formular Matrix
C2H4O2CH4OC3H6O2H2O
A1010
B0110
C1001
,max
,
1
,
(1)!
1
(1)!!
p
n
ptot
k
ptot
n
nkk
=
éù
-
+
êú
--
êú
ëû
å
,max,1,(1)!1(1)!!pnptotkptotnnkk
Table 3
ϕ/ϑLoStOpPc
Reaction Present*
Reaction is inside the 1st unit operation (Unit-Op)*
The product purity is defined so in the base case design the reactor effluent is connected to a separation sequence*
EFFiciencyDo not integrate phenomena which inhibit each other’s performance*
Add phenomena and stages in the flowsheet in which it has the highest efficiency*
EnergyDo not connect phenomena to a series with alternating heat addition and heat removal*
Remove options in which phenomena are heated/cooled leading to a decrease of the efficiency*
Flowsheet SimplificationRemove options with redundant stages*
Do not use recycle streams if not necessary*
WasteDo not use two different solvents in one process*
$ DMC/ton DMCAllow a fixed number of Unit-Ops. Maximum number of Unit-Ops=2*
Ensure that phenomena are connected to ensure the best use or recycle of raw materials*
Raw materials are pure*
Yield ≥90%*
PI screening criteria: Novel equipment*
Analysis of split factors
CompoundMolar flow in ηi,in [mol/s]Molar flow out, ηi,out [mol/s]Split factor σsep,i
PCa6.5
MeOH13
DMC-
PDi-
Identification of Phenomena
Unit OperationPhenomena
ReactorR (V), M (V), C (V)
Distillation columnM (V-L), PC (V-L), PT (V/L), PS (V/L)
Liquid-Liquid SeparatorM (L), PC (L-L), PS (L/L)
DecanterPS (L/L)
V-Vapour, L-Liquid
T.BP
ComponentTB [K]Tm[K]
HOAc391.15289.75
MeOH338.15175.55
MeOAc330.05175.15
H20373.15273.15
EthOAc350.25189.55
DMSO462.00291.65
Azeotrope Search
Binary PairAzeotrope T(K), x (mole %)
MeOAC/H2O329.8K, 92.8% MeAc
MeOAc/MeOH326.4K, 68.6% MeAc
HOAc/H2O371.8K, 15.7% HOAc
Collection & Analysis of PCP
ComponentTB [K]
HOAc391.15
MeOH338.15
MeOAc330.05
H20373.15
EthOAc350.25
DMSO462.00
ComponentMolecular Weight (MW) [kg/kmol]TB [K]TM [K]log (Ws) i.e. log (mg/l)log (Kow)Radius of gyration, Rg [Å]Molar Volume, VM [m3/kmol]Van der Waals Volume, VdV [m3/kmol]Solubility Parameter δSP [MPa0.5]
H2O18.00373.15273.155.45-1.380.620.060.0147.80
MeOH32.04337.95175.555.030.011.560.040.0229.59
HOAc60.05391.05289.755.25-0.172.610.180.0419.01
MeOAc74.08329.95175.154.880.333.020.080.0519.35
Estimated from Marrero‐Gani‐Approach
Estimated from ASPEN
PropertyH2O /MeOHH2O /HOAcH2O /MeOAcMeOH /HOAcMeOH /MeOAcHOAc /MeOAc
TB [K]1.1040.9541.1310.8641.0241.185
TM [K]1.5560.9431.5600.6061.0021.654
log (Ws) i.e. log (mg/l)1.0831.0381.1170.9581.0311.076
log (Kow)-138.0008.118-4.182-0.0590.030-0.515
Radius of gyration, Rg [Å]0.3940.2360.2040.5990.5170.864
Molar Volume, VM [m3/kmol]1.2560.3110.6880.2480.5482.211
Van der Waals Volume, VdV [m3/kmol]0.5700.2910.2740.5100.4800.941
Solubility Parameter δSP [MPa0.5]1.6152.5142.4701.5571.5290.982
Enthalpy of Formation
CompoundΔHf [kJ/mol]ν
H2O-285.831
MeOH-239.11-1
HOAc-484.09-1
MeOAc-442.791
ΔHf [kJ/mol]-5.42
-4
Equilibrium Caculation
X0.000218781
nA0.0002961
nB0.0041454
Keq45
Keqcalc45.0289141127
nA-X0.000077319
ConvA0.7388753794
nB-X0.003926619
ConvB0.0527768128
Table9
Unit-OpPhenomenaOperating Window
ReactorReaction (R)Tlow=175.15K (Lowest Melter)
Thigh=378,15 (Maximum T for reactor operation)
Vapour Mixing (MV)Tlow=330,05K (Lowest boiler)
Thigh=391,05 (Highest Boiler)
All concentrations are below the dew point line
DistillationMldTlow=175.55K (Lowest Melter)
Thigh=391,05 (Highest Boiler)
Vapour Mixing (MV)Tlow=326,41K (Lowest boiling azeotrope)
Phase Contact (PC) V-LV-L present
Phase Transition (PT)Tlow=326,41K (Lowest boiling azeotrope)
Thigh=391,05 (Highest Boiler)
Phase Separation (PS)V-L present
All concentrations are below the dew point line
LLSMIdTlow=175.55K (Lowest Melter)
Thigh=391,05 (Highest Boiler)
Phase Contact (PC) L-LL-L present
Phase Separation (PS)L-L present
DecanterPhase Separation (PS)L-L present
Table 10
Limitation/Bottleneck
Necessary TaskRRRRSSS
Desireable TaskSHSMRRMS
Separation is not sufficient
limiting equilibrium
azeotrope
high energy demand
limited mass transfer
limited heat transfer
driving forces too low
Reaction is not sufficient
contact problems of educts; limited mass transfer
product reacts further/is intermediate
activation problems
degradation by T
degradation by pH
difficulties to control conditions, reaction too exotherm/endotherm
limiting equilibrium
R-reaction, S-Separation, HS-Heat Supply, M-mixing
Particular intensified option is reported to overcome this limitation
The activation of an option through a knowledge search
Table 11&12-modified
Separation TypeImportant PCPReaction is not sufficientMeOAc/HOAc+ MeOH+H2OH2O/HOAc+ MeOH+MeOAcMeOAc+H2O/HOAc+MeOHReaction of co-product-H2O
V-LTb***
S-LTM**
L-Llog (Kow), δSP**
L-separationVM, Rg, δSP, VdV**
L-pervaporationVM, Rg, δSP, VdV**
V-permeationVM, Rg, δSP, VdV**
G-LTb, δSP***
R-
Separation TypeImportant PCPReaction is not sufficientMeOAc/HOAc+ MeOH+H2OH2O/HOAc+ MeOH+MeOAcMeOAc+H2O/HOAc+MeOHReaction of co-product-H2O
V-LTb***
S-LTM**
L-Llog (Kow), δSP**
L-separationVM, Rg, δSP, VdV**
L-pervaporationVM, Rg, δSP, VdV**
V-permeationVM, Rg, δSP, VdV**
G-LTb, δSP***
R-
Table13
ClassMixingPhase TransitionPhase SeparationPhase ContactDividerEnergy TransferReaction
Sub-class1-Phase2-PhaseV-LV-LV:VL:LV-LV:VL:L-Thermal-
PhenomenaMIDMFl,tubMFl,recMV2phMPT (V-L)PT (P:V-L)PS (V-L)PS (V:V)PS (L:L)PC (V-L)PC (V:V)PC (L:L)DHCR
Selection use for belows2s10s11s1/s3s4/s5/s8s5/s6/s7s12s6/s7/s12s13/s14s9s5/s6/s12s13/s14s8/s9s1/s6/s11/s15s1/s6/s11/s16s1
Mixing1-PhaseMIDI
MFl,tubI
MFl,recI
MVI/s1s1
2-Phase2phMI/s5/s8s5s8
Phase TransitionV-LPT(V-L)I/s5/s7s7s5
PT(P:V-L)I
Phase SeparationV-LPS(V-L)s6s12I/s6/s12
V:VPS(V:V)I/s14s14
L:LPS(L:L)I/s8s8
Phase ContactV-LPC(V-L)s6s12I/s6/s12
V:VPC(V:V)s13I/s13
L:LPC(L:L)s9I/s9
Divider-Dccccccccccccccc
Energy TransferThermalHs6s12I/s1/s6/s12s1
Cs6s12I/s1/s6/s12s1
Reaction-RI
NotesFor Mixing the inlet could be either liquid of vapour
ClassMixingPhase TransitionPhase SeparationPhase ContactDividerEnergy TransferReaction
Sub-class1-Phase2-PhaseV-LV-LV-L-Thermal-
PhenomenaMIDMFl,tubMFl,recMV2phMPT(V-L)PT(P:V-L)PS(V-L)PC(V-L)DHCR
Selection use for below123457.17.2861011129
Mixing1-PhaseMID+xxxx
MFl,tub+xxxx
MFl,rec+xxxx
MV+x
2-Phase2phM+xxx
Phase TransitionV-LPT(V-L)+x
PT(P:V-L)+x
Phase SeparationV-LPS(V-L)+
Phase ContactV-LPC(V-L)xx+
Divider-DAAAAAAAAA+AAA
Energy TransferThermalHx+x
Cx+x
Reaction-Rx+
Table14
No.PhenomenaOperating Window (OPW)
PB.1MID (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.2MFl,tub (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.3MFl,rec (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.4MV (Concentrations above boiling point line)Tlow=326,4K (Lowest boiling azeotrope)
PB.52phM (Concentrations in V‐L regions between dew and boiling point lines.)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.6PT(V-L) (Concentrations in V‐L regions between dew and boiling point lines)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.7PT(P:V-L)Tlow=175.55 (Melting point of Methanol)
Thigh=GET VALUE (Membrane Stability)
PB.8PS(V-L)V-L present
PB.9PS(V:V)V-V present
PB.10PS(L:L)L-L present
PB.11PC(V-L)V-L present
PB.12PC(V:V)V-V present
PB.13PC(L:L)L-L present
PB.14D-
PB.15H-
PB.16C-
PB.17RTlow=175.55 (Lowest Melter)
Thigh= 393K (Catalyst degradation T)http://goo.gl/w9UiS
No.PhenomenaOperating Window (OPW)
PB.1MID (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.2MFl,tub (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.3MFl,rec (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.4MV (Concentrations above boiling point line)Tlow=326,4K (Lowest boiling azeotrope)
PB.52phM (Concentrations in V‐L regions between dew and boiling point lines.)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.6PT(V-L) (Concentrations in V‐L regions between dew and boiling point lines)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.7PT(P:V-L)Tlow=175.55 (Melting point of Methanol)
Thigh=GET VALUE (Membrane Stability)
PB.8PS(V-L)V-L present
PB.9PC(V-L)V-L present
PB.10D-
PB.11H-
PB.12C-
PB.13RTlow=175.55 (Lowest Melter)
Thigh= 393K (Catalyst degradation T)
Table14_modified
No.PhenomenaOperating Window (OPW)
PB.1MID (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.2MFl,tub (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.3MFl,rec (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.4MV (Concentrations above boiling point line)Tlow=326,4K (Lowest boiling azeotrope)
PB.52phM (Concentrations in V‐L regions between dew and boiling point lines.)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.6PT(V-L) (Concentrations in V‐L regions between dew and boiling point lines)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.7PT(P:V-L)Tlow=175.55 (Melting point of Methanol)
Thigh=GET VALUE (Membrane Stability)
PB.8PS(V-L)V-L present
PB.9PS(L:L)L-L present
PB.10PC(V-L)V-L present
PB.11PC(L:L)L-L present
PB.12D-
PB.13H-
PB.14C-
PB.15RTlow=175.55 (Lowest Melter)
Thigh= 393K (Catalyst degradation T)http://goo.gl/w9UiS
NSPB_Calc
ABA!B!A!*B!ABA!B!A!*B!
1113991680013991680012121479001600147900160013
102362880027257600661123991680027983360078
93362880621772802201033628800621772800286
84403202496768049594362880248709120715
755040120604800792854032012048384001287
6672072051840092476504072036288001716
57120504060480079267720504036288001716
482440320967680495581204032048384001287
39636288021772802204016
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reached49243628808709120715
2102362880072576006631063628800217728002868099
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reached
11113991680039916800122112399168007983360078
01214790016004790016001112147900160047900160013
0131622702080062270208001
np,max9
np,tot13np,max10
NSPB4017
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the
divider
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reachednp,tot14
NSPB8100
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the divider
ABA!B!A!*B!
212123
121223
0316617
np,max3
np,tot4
NSPB8
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the divider
ABA!B!A!*B!
13162270208001622702080014
122479001600295800320091
113399168006239500800364
104362880024870912001001
95362880120435456002002
8640320720290304003003
7750405040254016003432
6872040320290304003003
59120362880435456002002
410243628800870912001001
31163991680023950080036416277
np,max11
np,tot15
NSPB16278
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the divider
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reached
SPB's_rev1
SPBInterconnection Phenomena InOut
SPB.1M1..n(L)1(L)
SPB.2M=R1..n(L)1(L)
SPB.3M=H1..n(L)1(L)
SPB.4M=C1..n(L)1(L)
SPB.5M=R=H1..n(L)1(L)
SPB.6M=R=C1..n(L)1(L)
SPB.7M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.8M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.9M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.10M=R=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.11M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.12M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.13M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.14M=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.15M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.16M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.17M=C=2phM=PC=PT(PVL)=PS(VL)1..n(VL)2(V;L)
SPB.18M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.19M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.20M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.21M=R=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.22M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.23M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.24M=R=C=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.25M1..n(L)1(L)
SPB.26M=R1..n(L)1(L)
SPB.27M=H1..n(L)1(L)
SPB.28M=C1..n(L)1(L)
SPB.29M=R=H1..n(L)1(L)
SPB.30M=R=C1..n(L)1(L)
SPB.31M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.32M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.33M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.34M=R=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.35M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.36M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.37M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.38M=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.39M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.40M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.41M=C=2phM=PC=PT(PVL)=PS(VL)1..n(VL)2(V;L)
SPB.42M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.43M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.44M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.45M=R=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.46M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.47M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.48M=R=C=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.49M1..n(L)1(L)
SPB.50M=R1..n(L)1(L)
SPB.51M=H1..n(L)1(L)
SPB.52M=C1..n(L)1(L)
SPB.53M=R=H1..n(L)1(L)
SPB.54M=R=C1..n(L)1(L)
SPB.55M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.56M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.57M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.58M=R=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.59M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.60M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.61M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.62M=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.63M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.64M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.65M=C=2phM=PC=PT(PVL)=PS(VL)1..n(VL)2(V;L)
SPB.66M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.67M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.68M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.69M=R=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.70M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.71M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.72M=R=C=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB's_rev2
SPBInterconnection Phenomena InOut
SPB.1M1..n(L)1(L)
SPB.2M=R1..n(L)1(L)
SPB.3M=H1..n(L)1(L)
SPB.4M=C1..n(L)1(L)
SPB.5M=R=H1..n(L)1(L)
SPB.6M=R=C1..n(L)1(L)
SPB.7M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.8M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.9M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.10M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.11M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.12M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.13M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.14M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.15M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.16M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.17M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.18M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.19M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.20M1..n(L)1(L)
SPB.21M=R1..n(L)1(L)
SPB.22M=H1..n(L)1(L)
SPB.23M=C1..n(L)1(L)
SPB.24M=R=H1..n(L)1(L)
SPB.25M=R=C1..n(L)1(L)
SPB.26M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.27M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.28M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.29M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.30M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.31M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.32M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.33M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.34M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.35M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.36M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.37M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.38M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.39M1..n(L)1(L)
SPB.40M=R1..n(L)1(L)
SPB.41M=H1..n(L)1(L)
SPB.42M=C1..n(L)1(L)
SPB.43M=R=H1..n(L)1(L)
SPB.44M=R=C1..n(L)1(L)
SPB.45M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.46M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.47M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.48M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.49M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.50M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.51M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.52M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.53M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.54M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.55M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.56M=R=C=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.57M=R=C=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.58D1(L;VL,V)1..n(L;V; VL)
SPBInterconnection Phenomena InOut
SPB.1M=R=H=C1..n(L)1(L)
SPB.7M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.8M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.9M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPBInterconnection Phenomena InOut
M=R=H=C1..n(L)1(L)
Figures5&6
ACM NameNew NameDuty [W]Duty [kW]
Condenser1.QcT1.cond2517324.19432517.3241942669
Condenser2.QcT2.cond5686907.72975686.9077296983
Condenser3.QcT3.cond9194730.99649194.730996449
Condenser4.QcT4.cond1229990.15711229.9901571143
Reboiler1.QhT1.reb2769550.68542769.5506854236
Reboiler2.QhT2.reb5736528.56435736.5285642791
Reboiler3.QhT3.reb5748382.83325748.3828331897
Reboiler4.QhT4.reb1276645.64081276.6456408204
DMC_Cooler.QcDMC.cool289403.3666289.4033665544
PDO_Cooler.QcPDO.cool440295.8373440.2958373021
PC_Cooler.QcPC.cool201485.93201.4859287002
Heater_Feed2.Q_exFeed.heat365456.47365.4564711572
Heater_PS.Q_exPressure Swing.heat431976.77431.9767679506
T1.condT2.condT3.condT4.cond2517324.19426693125686907.72969832189194730.99644899551229990.1571143158T1.rebT2.rebT3.rebT4.reb2769550.68542361915736528.56427907945748382.83318965231276645.6408204371DMC.coolPDO.coolPC.cool289403.36655436386440295.83730209945201485.9287001518Feed.heatPressure Swing.heat365456.47115721332431976.76795063878T1.condT2.condT3.condT4.condDMC.coolPDO.coolPC.cool2517324.19426693125686907.72969832189194730.99644899551229990.1571143158289403.36655436386440295.83730209945201485.9287001518T1.rebT2.rebT3.rebT4.rebFeed.heatPressure Swing.heat2769550.68542361915736528.56427907945748382.83318965231276645.6408204371365456.47115721332431976.76795063878
Analysis of SPB's
SPB'sSPBCoCrossflowCounter current
SPB.1, SPB.20, SPB.39, SPB.58MNo reactionNo reactionNo reaction
SPB.3, SPB.23, SPB.42M=CNo reactionNo reactionNo reaction
SPB.2, SPB.21, SPB.40M=R0.729/inf1 phase1 phase
SPB.5, SPB.24, SPB.43M=R=H0.725/inf1 phase1 phase
SPB.6, SPB.25, SPB.42M=R=C0.733/inf1 phase1 phase
SPB.7, SPB.26, SPB.45M=Mv=R=2pM=PC=PT(VL)0.729/infno separate phasesno separate phases
SPB.8, SPB.27, SPB.46M=Mv=R=2pM=PC=PT(VL)=PS(VL)
Reaction Analysis
Heat Capacity Data, obtained from ICAS
Expression=A+B*T+C*T^2+D*T^3+E*T^4J/kmolK
HOAc139640-320.80.8985
MeOH105800-362.230.9379
MeOAc61260270.9
Water276370-2090.18.125-0.0141169.37E-06
Tref=303.15KT0=303.15T0=313.15T0=323.15
Xe(T)XEB(T)XEB(T)XEB(T)
TXeXEBXEBXEB
303.150.73699386160
304.150.73658152240.063896894
305.150.73617147480.1284984414
306.150.73576370070.1937937385
307.150.7353581820.2597705869
308.650.73475409410.3599838129
309.150.734553840.3937134824
310.150.73415498170.461648383
311.150.73375830870.5302024899
312.150.73336380390.5993566993
313.150.73297145050.669090459
3140.7326396290.72880342340
314.060.73261626430.73303330810.0593519558
314.150.73258123160.73938175380.0652517854
315.150.73219313070.81020709520.1311613016
316.150.73180713130.88154151450.197712032
317.150.73142321710.95335856060.2648860501
318.150.7310413721.0256303030.332664001
319.150.730661581.09832733850.4010250865
320.150.73028382541.17141880440.4699470536
321.150.72990809241.24487239540.5394061877
322.150.72953436561.31865438790.6093773096
323.150.72916262961.39272966770.67983377750
323.850.72890359070.72942709770.046634863
324.150.72879286910.75074749360.0667120247
325.150.72842506920.82208891560.1340199229
330.150.72661496010.4786570939
332.150.72590412880.6197814048
333.150.72555148780.6909220764
333.630.72538287130.725192799
334.150.72520067790.7624035615
335.150.72485168570.8341905546
Kremser Example
Example taken from Page 170, SEPARATION PROCESS PRINCIPLES 2ND ED
[email protected], 400 psiaA=L0/KiV0Si=1/AphiA
C16.650.0310150376
C21.640.1257621951
C30.5840.3531678082
nC40.1951.05769230770.9454545455
nC50.07132.89270687240.3456969697
Oil0.00010.0004848485
CompOil composition [lbmol/h]CompFeed gas Composition [lbmol/h]
C40.05C1160
C50.78C2370
Oil164.17C3240
L0165nC425
nC55
V0800
M=R=2phM=PC(VL)=PT(VL)=PS(VL)
InitialAnalysis of M=Mv=R=2pM=PC=PT(VL)=PS(VL)ConversionCalcuation of xi initial
xHOAcxMeOHxMeOAcxH2OT[K]xHOAcxMeOHxMeOAcxH2OyHOAcyMeOHyMeOAcyH2OKHOAcKMeOHKMeOAcKH2OWalWBlWClCheckWAVWBVWCVCheckV [kmol/hr]L [kmol/hr]XMeOHXHOAcFeed1kmol/hr
0.09090909090.909090909100339.48863.49E-040.75735480.02339480.21890164.17E-050.82251870.09558310.08185651.19E-011.08604144324.08565578680.37394199042.32E-027.63E-012.14E-011.00E+008.73E-028.38E-017.48E-021.00E+000.93439560.06560440.84710194120.9993201765Molar Ratio1.56HOAc:MeOH
0.13043478260.869565217400339.9187.33E-040.67016120.03216060.29694519.19E-050.74809380.14275750.10905671.25E-011.11628933464.43889417490.36726216393.18E-026.80E-012.88E-011.00E+001.25E-017.80E-019.55E-021.00E+000.88709390.11290610.76734971590.998740252NHOAc0.609375kml/hr
0.16666666670.833333333300340.47071.23E-030.58553570.03741370.37581861.66E-040.67880110.18510490.13592841.34E-011.15928217534.94751655140.36168619653.72E-026.00E-013.63E-011.00E+001.56E-017.29E-011.15E-011.00E+000.87311970.12688030.7169059840.9981946015xHOAc0.609375
0.20.800340.86931.82E-030.51272390.0411640.44428992.62E-040.61538640.22639180.15796011.44E-011.20022959735.49975221070.3555338534.12E-025.31E-014.28E-011.00E+001.85E-016.86E-011.29E-011.00E+000.85488150.14511850.66507014390.9975592475xMeOH0.390625
0.23076923080.769230769200341.25352.48E-030.44606810.0429040.50854353.84E-040.55664120.26515480.17781961.55E-011.24788389936.18018832740.3496644834.34E-024.68E-014.89E-011.00E+002.10E-016.49E-011.41E-011.00E+000.8420630.1579370.6181539850.9968970281
0.25925925930.740740740700341.62293.20E-030.38517510.0429990.56862625.38E-040.50207910.30167350.19570981.68E-011.30350871597.01582594940.34418006064.42E-024.09E-015.47E-011.00E+002.32E-016.17E-011.51E-011.00E+000.83222720.16777280.57382822370.9962035029
0.28571428570.714285714300341.8613.98E-030.3324790.04268410.62085827.22E-040.45140020.33780060.2100771.82E-011.35768033477.91396796470.33836550764.46E-023.58E-015.97E-011.00E+002.53E-015.90E-011.57E-011.00E+000.81906210.18093790.52842719080.9954099074
0.31034482760.689655172400342.20654.78E-030.28218180.04068280.67235179.54E-040.40379170.37054040.2247141.99E-011.43096294669.10803582840.33422091444.35E-023.09E-016.48E-011.00E+002.71E-015.65E-011.65E-011.00E+000.81244080.18755920.48674649910.9946115711
0.31972789120.680272108800342.31885.13E-030.26398650.03988420.69100331.06E-030.38560.38349740.22984282.07E-011.46068075459.61527121020.33262185584.31E-022.91E-016.66E-011.00E+002.78E-015.55E-011.67E-011.00E+000.80907110.19092890.46980140650.9942569355
0.38650306750.613496932500343.08278.59E-031.47E-010.03330460.81096592.34E-030.25403860.4803950.26322292.73E-011.726558730114.42428373260.32457949224.02E-021.73E-017.87E-011.00E+003.26E-014.95E-011.79E-011.00E+000.78170.21830.33553943790.9904066232
0.43502824860.564971751400343.67710.01461130.07931470.02959030.87648354.84E-030.15560450.55494860.28461133.31E-011.961862050818.75440938420.32471951844.23E-021.04E-018.53E-011.00E+003.59E-014.56E-011.86E-011.00E+000.75802910.24197090.22144950430.9834469194
0.47089947090.529100529100344.16160.02844150.04096040.03029920.90029880.01024020.0847890.60815360.2968173.60E-012.070023730220.0716058510.32968721055.55E-026.73E-028.77E-011.00E+003.82E-014.28E-011.90E-011.00E+000.73645380.26354620.13310994370.9680673172
0.48979591840.510204081600344.37310.04850320.02686610.03550510.88912550.01692030.05372850.63115650.29819473.49E-011.9998622817.77650253060.33537976367.75E-025.75E-028.65E-011.00E+003.93E-014.16E-011.91E-011.00E+000.71939420.28060580.09528534660.9473604333
0.49238578680.507614213200344.62140.05250230.02503780.03607370.88638610.01836850.05014540.63054060.30094543.50E-012.002787784917.47923279290.33951953898.14E-025.61E-028.62E-011.00E+003.94E-014.13E-011.94E-011.00E+000.72066010.27933990.09104296850.9433301427
0.50.500344.91250.06719850.02118410.04035940.87125790.02275130.04111376.34E-010.30227883.39E-011.940781057515.70529046520.34694526169.71E-025.56E-028.47E-011.00E+003.96E-014.07E-011.96E-011.00E+000.71476620.28523380.08179732540.9291417125
0.50738916260.492610837400345.24930.08519150.01840860.04624270.8501570.02760860.03427320.63479690.30332123.24E-011.861803722213.72750509810.35678257071.16E-015.71E-028.27E-011.00E+003.98E-014.02E-011.99E-011.00E+000.70805120.29194880.07666855680.9124540652
0.52153110050.478468899500345.63060.12805920.01560040.06481340.79152690.03664820.02583480.63761160.29990532.86E-011.65603446079.83765085620.37889464021.62E-016.74E-027.71E-011.00E+004.03E-013.96E-012.01E-011.00E+000.6827320.3172680.07984123720.8741206707
0.52606635070.473933649300346.0520.14288090.01471130.07022350.77218420.04012110.02384650.63353460.30249782.81E-011.62096483669.02168932050.39174305821.76E-017.00E-027.54E-011.00E+004.03E-013.93E-012.05E-011.00E+000.67953770.32046230.08167511920.8611358781
0.57081545060.429184549400348.02960.27492430.0109520.13614360.577980.0656180.0146050.62352190.2962552.39E-011.33354638424.57988403420.51256963912.91E-011.04E-016.04E-011.00E+004.08E-013.78E-012.14E-011.00E+000.57448250.42551750.15452993790.7290166317
0.6093750.39062500350.30610.36221568.06E-030.16206930.46765110.09028030.01065220.60652250.29254492.49E-011.3209688083.74236514870.62556230493.44E-011.12E-015.44E-011.00E+004.11E-013.64E-012.26E-011.00E+000.49322440.50677560.22370995430.6256976823
0.61538461540.384615384600350.9010.37654387.54E-030.1619880.45392320.0959660.01007510.59996790.29399082.55E-011.33533642853.70377990960.64766638943.50E-011.10E-015.40E-011.00E+004.10E-013.60E-012.30E-011.00E+000.48825760.51174240.22832005660.6107319703
0.62962962960.370370370400351.52680.402026.87E-030.16818670.42292630.10420069.20E-030.5972550.28934492.59E-011.33969182743.55114286680.6841496973.63E-011.11E-015.25E-011.00E+004.12E-013.56E-012.31E-011.00E+000.45274990.54725010.25975431190.5756516468
0.66666666670.333333333300354.12550.47165365.01E-030.16807690.35526060.13452097.07E-030.57374560.28466222.85E-011.41175425393.41358985080.8012771473.90E-011.06E-015.04E-011.00E+004.15E-013.40E-012.45E-011.00E+000.39302260.60697740.31439415210.4912707554
0.750.2500360.04160.60783362.48E-030.1488780.24081040.21576214.10E-030.51586930.26426813.55E-011.65480600823.46504721991.09741149054.31E-018.62E-024.83E-011.00E+004.23E-013.00E-012.77E-011.00E+000.2676080.7323920.44053769970.3294504933
0.80.200364.3680.68786561.49E-030.12592540.18471760.28531412.82E-030.46399030.2478714.15E-011.89388036983.68464424171.34189162274.49E-017.02E-024.81E-011.00E+004.28E-012.67E-013.05E-011.00E+000.21385850.78614150.49799627710.247779325
0.83333333330.166666666700367.27090.73703961.04E-030.11043940.15148520.33833282.16E-030.42757560.23193164.59E-012.08530522013.87158568411.53105121824.59E-016.03E-024.81E-011.00E+004.34E-012.43E-013.23E-011.00E+000.17341610.82658390.54997193870.198523094
0.85714285710.142857142900370.45940.78228046.94E-040.09155210.12547290.40091441.61E-030.37811640.21935945.12E-012.31783244884.13006801591.74826117834.66E-014.92E-024.84E-011.00E+004.38E-012.13E-013.49E-011.00E+000.1760490.8239510.5300252750.1656684868
0.88888888890.111111111100373.99350.83059514.16E-040.07310920.095880.47945651.09E-030.32478070.19467435.77E-012.61855273294.44240533342.03039528584.75E-013.86E-024.87E-011.00E+004.46E-011.81E-013.74E-011.00E+000.14894810.85105190.56143689910.1244196182
0.90.100375.26150.84676783.39E-040.06681850.08607430.50982949.29E-040.30498640.18425526.02E-012.73721939534.56440057772.1406529014.77E-013.51E-024.87E-011.00E+004.49E-011.69E-013.82E-011.00E+000.13755410.86244590.57755155230.1106438426
0.90909090910.090909090900376.57910.86234752.73E-040.06011450.07726480.54235167.82E-040.28247390.17439236.29E-012.86419508984.69893120632.25707307864.80E-013.14E-024.89E-011.00E+004.52E-011.55E-013.93E-011.00E+000.13694820.86305180.57188004490.0996228988
Feed, from the RD paper by Pöpken, the ration or HOAC:MeOH should be 1.56
Rectifying Section
Need to convert to groupsAbsorption: Water is removed from the V phase
GroupsC2H2OCH4OH2Oalpha
ABC
C2H2OCH4OH2O
C2H4O2101
CH4O010ReactionAC+B=AB+C
C3H6O2110
H2O001
Formular Matrix
C2H4O2CH4OC3H6O2H2O
A1010
B0110
C1001
,max
,
1
,
(1)!
1
(1)!!
p
n
ptot
k
ptot
n
nkk
=
éù
-
+
êú
--
êú
ëû
å
,max,1,(1)!1(1)!!pnptotkptotnnkk
Table 3
ϕ/ϑLoStOpPc
Reaction Present*
Reaction is inside the 1st unit operation (Unit-Op)*
The product purity is defined so in the base case design the reactor effluent is connected to a separation sequence*
EFFiciencyDo not integrate phenomena which inhibit each other’s performance*
Add phenomena and stages in the flowsheet in which it has the highest efficiency*
EnergyDo not connect phenomena to a series with alternating heat addition and heat removal*
Remove options in which phenomena are heated/cooled leading to a decrease of the efficiency*
Flowsheet SimplificationRemove options with redundant stages*
Do not use recycle streams if not necessary*
WasteDo not use two different solvents in one process*
$ DMC/ton DMCAllow a fixed number of Unit-Ops. Maximum number of Unit-Ops=2*
Ensure that phenomena are connected to ensure the best use or recycle of raw materials*
Raw materials are pure*
Yield ≥90%*
PI screening criteria: Novel equipment*
Analysis of split factors
CompoundMolar flow in ηi,in [mol/s]Molar flow out, ηi,out [mol/s]Split factor σsep,i
PCa6.5
MeOH13
DMC-
PDi-
Identification of Phenomena
Unit OperationPhenomena
ReactorR (V), M (V), C (V)
Distillation columnM (V-L), PC (V-L), PT (V/L), PS (V/L)
Liquid-Liquid SeparatorM (L), PC (L-L), PS (L/L)
DecanterPS (L/L)
V-Vapour, L-Liquid
T.BP
ComponentTB [K]Tm[K]
HOAc391.15289.75
MeOH338.15175.55
MeOAc330.05175.15
H20373.15273.15
EthOAc350.25189.55
DMSO462.00291.65
Azeotrope Search
Binary PairAzeotrope T(K), x (mole %)
MeOAC/H2O329.8K, 92.8% MeAc
MeOAc/MeOH326.4K, 68.6% MeAc
HOAc/H2O371.8K, 15.7% HOAc
Collection & Analysis of PCP
ComponentTB [K]
HOAc391.15
MeOH338.15
MeOAc330.05
H20373.15
EthOAc350.25
DMSO462.00
ComponentMolecular Weight (MW) [kg/kmol]TB [K]TM [K]log (Ws) i.e. log (mg/l)log (Kow)Radius of gyration, Rg [Å]Molar Volume, VM [m3/kmol]Van der Waals Volume, VdV [m3/kmol]Solubility Parameter δSP [MPa0.5]
H2O18.00373.15273.155.45-1.380.620.060.0147.80
MeOH32.04337.95175.555.030.011.560.040.0229.59
HOAc60.05391.05289.755.25-0.172.610.180.0419.01
MeOAc74.08329.95175.154.880.333.020.080.0519.35
Estimated from Marrero‐Gani‐Approach
Estimated from ASPEN
PropertyH2O /MeOHH2O /HOAcH2O /MeOAcMeOH /HOAcMeOH /MeOAcHOAc /MeOAc
TB [K]1.1040.9541.1310.8641.0241.185
TM [K]1.5560.9431.5600.6061.0021.654
log (Ws) i.e. log (mg/l)1.0831.0381.1170.9581.0311.076
log (Kow)-138.0008.118-4.182-0.0590.030-0.515
Radius of gyration, Rg [Å]0.3940.2360.2040.5990.5170.864
Molar Volume, VM [m3/kmol]1.2560.3110.6880.2480.5482.211
Van der Waals Volume, VdV [m3/kmol]0.5700.2910.2740.5100.4800.941
Solubility Parameter δSP [MPa0.5]1.6152.5142.4701.5571.5290.982
Enthalpy of Formation
CompoundΔHf [kJ/mol]ν
H2O-285.831
MeOH-239.11-1
HOAc-484.09-1
MeOAc-442.791
ΔHf [kJ/mol]-5.42
-4
Equilibrium Caculation
X0.000218781
nA0.0002961
nB0.0041454
Keq45
Keqcalc45.0289141127
nA-X0.000077319
ConvA0.7388753794
nB-X0.003926619
ConvB0.0527768128
Table9
Unit-OpPhenomenaOperating Window
ReactorReaction (R)Tlow=175.15K (Lowest Melter)
Thigh=378,15 (Maximum T for reactor operation)
Vapour Mixing (MV)Tlow=330,05K (Lowest boiler)
Thigh=391,05 (Highest Boiler)
All concentrations are below the dew point line
DistillationMldTlow=175.55K (Lowest Melter)
Thigh=391,05 (Highest Boiler)
Vapour Mixing (MV)Tlow=326,41K (Lowest boiling azeotrope)
Phase Contact (PC) V-LV-L present
Phase Transition (PT)Tlow=326,41K (Lowest boiling azeotrope)
Thigh=391,05 (Highest Boiler)
Phase Separation (PS)V-L present
All concentrations are below the dew point line
LLSMIdTlow=175.55K (Lowest Melter)
Thigh=391,05 (Highest Boiler)
Phase Contact (PC) L-LL-L present
Phase Separation (PS)L-L present
DecanterPhase Separation (PS)L-L present
Table 10
Limitation/Bottleneck
Necessary TaskRRRRSSS
Desireable TaskSHSMRRMS
Separation is not sufficient
limiting equilibrium
azeotrope
high energy demand
limited mass transfer
limited heat transfer
driving forces too low
Reaction is not sufficient
contact problems of educts; limited mass transfer
product reacts further/is intermediate
activation problems
degradation by T
degradation by pH
difficulties to control conditions, reaction too exotherm/endotherm
limiting equilibrium
R-reaction, S-Separation, HS-Heat Supply, M-mixing
Particular intensified option is reported to overcome this limitation
The activation of an option through a knowledge search
Table 11&12-modified
Separation TypeImportant PCPReaction is not sufficientMeOAc/HOAc+ MeOH+H2OH2O/HOAc+ MeOH+MeOAcMeOAc+H2O/HOAc+MeOHReaction of co-product-H2O
V-LTb***
S-LTM**
L-Llog (Kow), δSP**
L-separationVM, Rg, δSP, VdV**
L-pervaporationVM, Rg, δSP, VdV**
V-permeationVM, Rg, δSP, VdV**
G-LTb, δSP***
R-
Separation TypeImportant PCPReaction is not sufficientMeOAc/HOAc+ MeOH+H2OH2O/HOAc+ MeOH+MeOAcMeOAc+H2O/HOAc+MeOHReaction of co-product-H2O
V-LTb***
S-LTM**
L-Llog (Kow), δSP**
L-separationVM, Rg, δSP, VdV**
L-pervaporationVM, Rg, δSP, VdV**
V-permeationVM, Rg, δSP, VdV**
G-LTb, δSP***
R-
Table13
ClassMixingPhase TransitionPhase SeparationPhase ContactDividerEnergy TransferReaction
Sub-class1-Phase2-PhaseV-LV-LV:VL:LV-LV:VL:L-Thermal-
PhenomenaMIDMFl,tubMFl,recMV2phMPT (V-L)PT (P:V-L)PS (V-L)PS (V:V)PS (L:L)PC (V-L)PC (V:V)PC (L:L)DHCR
Selection use for belows2s10s11s1/s3s4/s5/s8s5/s6/s7s12s6/s7/s12s13/s14s9s5/s6/s12s13/s14s8/s9s1/s6/s11/s15s1/s6/s11/s16s1
Mixing1-PhaseMIDI
MFl,tubI
MFl,recI
MVI/s1s1
2-Phase2phMI/s5/s8s5s8
Phase TransitionV-LPT(V-L)I/s5/s7s7s5
PT(P:V-L)I
Phase SeparationV-LPS(V-L)s6s12I/s6/s12
V:VPS(V:V)I/s14s14
L:LPS(L:L)I/s8s8
Phase ContactV-LPC(V-L)s6s12I/s6/s12
V:VPC(V:V)s13I/s13
L:LPC(L:L)s9I/s9
Divider-Dccccccccccccccc
Energy TransferThermalHs6s12I/s1/s6/s12s1
Cs6s12I/s1/s6/s12s1
Reaction-RI
NotesFor Mixing the inlet could be either liquid of vapour
ClassMixingPhase TransitionPhase SeparationPhase ContactDividerEnergy TransferReaction
Sub-class1-Phase2-PhaseV-LV-LV-L-Thermal-
PhenomenaMIDMFl,tubMFl,recMV2phMPT(V-L)PT(P:V-L)PS(V-L)PC(V-L)DHCR
Selection use for below123457.17.2861011129
Mixing1-PhaseMID+xxxx
MFl,tub+xxxx
MFl,rec+xxxx
MV+x
2-Phase2phM+xxx
Phase TransitionV-LPT(V-L)+x
PT(P:V-L)+x
Phase SeparationV-LPS(V-L)+
Phase ContactV-LPC(V-L)xx+
Divider-DAAAAAAAAA+AAA
Energy TransferThermalHx+x
Cx+x
Reaction-Rx+
Table14
No.PhenomenaOperating Window (OPW)
PB.1MID (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.2MFl,tub (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.3MFl,rec (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.4MV (Concentrations above boiling point line)Tlow=326,4K (Lowest boiling azeotrope)
PB.52phM (Concentrations in V‐L regions between dew and boiling point lines.)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.6PT(V-L) (Concentrations in V‐L regions between dew and boiling point lines)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.7PT(P:V-L)Tlow=175.55 (Melting point of Methanol)
Thigh=GET VALUE (Membrane Stability)
PB.8PS(V-L)V-L present
PB.9PS(V:V)V-V present
PB.10PS(L:L)L-L present
PB.11PC(V-L)V-L present
PB.12PC(V:V)V-V present
PB.13PC(L:L)L-L present
PB.14D-
PB.15H-
PB.16C-
PB.17RTlow=175.55 (Lowest Melter)
Thigh= 393K (Catalyst degradation T)http://goo.gl/w9UiS
No.PhenomenaOperating Window (OPW)
PB.1MID (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.2MFl,tub (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.3MFl,rec (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.4MV (Concentrations above boiling point line)Tlow=326,4K (Lowest boiling azeotrope)
PB.52phM (Concentrations in V‐L regions between dew and boiling point lines.)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.6PT(V-L) (Concentrations in V‐L regions between dew and boiling point lines)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.7PT(P:V-L)Tlow=175.55 (Melting point of Methanol)
Thigh=GET VALUE (Membrane Stability)
PB.8PS(V-L)V-L present
PB.9PC(V-L)V-L present
PB.10D-
PB.11H-
PB.12C-
PB.13RTlow=175.55 (Lowest Melter)
Thigh= 393K (Catalyst degradation T)
Table14_modified
No.PhenomenaOperating Window (OPW)
PB.1MID (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.2MFl,tub (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.3MFl,rec (Concentrations below dew point line)Tlow=175.55K (Lowest Melter)
Thigh=391,15K (Highest Boiler)
PB.4MV (Concentrations above boiling point line)Tlow=326,4K (Lowest boiling azeotrope)
PB.52phM (Concentrations in V‐L regions between dew and boiling point lines.)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.6PT(V-L) (Concentrations in V‐L regions between dew and boiling point lines)Tlow=326,4K (Lowest boiling azeotrope)
Thigh=391,15K (Highest Boiler)
PB.7PT(P:V-L)Tlow=175.55 (Melting point of Methanol)
Thigh=GET VALUE (Membrane Stability)
PB.8PS(V-L)V-L present
PB.9PS(L:L)L-L present
PB.10PC(V-L)V-L present
PB.11PC(L:L)L-L present
PB.12D-
PB.13H-
PB.14C-
PB.15RTlow=175.55 (Lowest Melter)
Thigh= 393K (Catalyst degradation T)http://goo.gl/w9UiS
NSPB_Calc
ABA!B!A!*B!ABA!B!A!*B!
1113991680013991680012121479001600147900160013
102362880027257600661123991680027983360078
93362880621772802201033628800621772800286
84403202496768049594362880248709120715
755040120604800792854032012048384001287
6672072051840092476504072036288001716
57120504060480079267720504036288001716
482440320967680495581204032048384001287
39636288021772802204016
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reached49243628808709120715
2102362880072576006631063628800217728002868099
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reached
11113991680039916800122112399168007983360078
01214790016004790016001112147900160047900160013
0131622702080062270208001
np,max9
np,tot13np,max10
NSPB4017
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the
divider
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reachednp,tot14
NSPB8100
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the divider
ABA!B!A!*B!
212123
121223
0316617
np,max3
np,tot4
NSPB8
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the divider
ABA!B!A!*B!
13162270208001622702080014
122479001600295800320091
113399168006239500800364
104362880024870912001001
95362880120435456002002
8640320720290304003003
7750405040254016003432
6872040320290304003003
59120362880435456002002
410243628800870912001001
31163991680023950080036416277
np,max11
np,tot15
NSPB16278
Deenesh K. Babi: Deenesh K. Babi:+1 where it represents the divider
Deenesh K. Babi: Deenesh K. Babi:The sum is taken here because np,max has been reached
SPB's_rev1
SPBInterconnection Phenomena InOut
SPB.1M1..n(L)1(L)
SPB.2M=R1..n(L)1(L)
SPB.3M=H1..n(L)1(L)
SPB.4M=C1..n(L)1(L)
SPB.5M=R=H1..n(L)1(L)
SPB.6M=R=C1..n(L)1(L)
SPB.7M=R=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.8M=R=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.9M=R=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.10M=R=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.11M=H=2phM=PC=PT(VL)1..n(L,VL)1(VL)
SPB.12M=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.13M=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.14M=H=2phM=PC=PT(VV)=PS(VV)1..n(L,VL)2(V;L)
SPB.15M=C=2phM=PC=PT(VL)1..n(VL)1(VL)
SPB.16M=C=2phM=PC=PT(VL)=PS(VL)1..n(VL)2(V;L)
SPB.17M=C=2phM=PC=PT(PVL)=PS(VL)1..n(VL)2(V;L)
SPB.18M=R=H=2phM=PC=PT(VL)1..n(L,VL)1(V/L)
SPB.19M=R=H=2phM=PC=PT(VL)=PS(VL)1..n(L,VL)2(V;L)
SPB.20M=R=H=2phM=PC=PT(PVL)=PS(VL)1..n(L,VL)2(V;L)
SPB.21