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Water Pinch Analysis Water Pinch Analysis Water Pinch Analysis Water Pinch Analysis Dominic FOO, PhD, PEng Dept of Chem & Env Eng University of Nottingham Malaysia

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Page 1: Water Pinch (Full)

Water Pinch AnalysisWater Pinch AnalysisWater Pinch AnalysisWater Pinch Analysis

Dominic FOO, PhD, PEngDept of Chem & Env Eng

University of Nottingham Malaysia

Page 2: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 2

About myselfAbout myselfAbout myselfAbout myself

� Current position: Associate Professor (University Nottingham Malaysia Campus)

� Qualifications:�BEng (Chemical) (Hons.) (UTM)

�MEng (Chemical) (UTM)

�PhD (Chemical Engineering) (UTM)

� Areas of work:�Research (material recovery, process design &

integration)

�Education (undergraduate/post graduate/ profession training)

�Advice for career & professional development

Page 3: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 3

Talk outlineTalk outlineTalk outlineTalk outline

� Domestic & industrial water usage

� Water pinch analysis

�Graphical targeting for water reuse/recycle

�Nearest neighbour algorithm for network design

�Algebraic targeting for water reuse/recycle & regeneration

� Conclusion

Page 4: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 4

Residential water useResidential water useResidential water useResidential water use

Page 5: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 5

Water usage in our daily lifeWater usage in our daily lifeWater usage in our daily lifeWater usage in our daily life

Flower watering

(3 minutes, 120 Litres)

Teeth brushing

(5 minutes, 45 Litres)

Shower

(5 minutes, 200 Litres)

Hand washing

(2 minutes, 18 Litres)

(Sin Chew Jit Pow, 8 Oct 2003)

Page 6: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 6

Water usage in our daily lifeWater usage in our daily lifeWater usage in our daily lifeWater usage in our daily life

Toilet flushing

(13.5 Litres / flush)

Washing machine

(2 days once, 130 Litres)

Washing plates

(15 minutes, 135 Litres)

Car wash (with host)

(10 minutes, 400 Litres)

(Sin Chew Jit Pow, 8 Oct 2003)

Page 7: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 7

(Smith, 2005)

Water use in process plantWater use in process plantWater use in process plantWater use in process plant

Page 8: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 8

Conventional water networkConventional water networkConventional water networkConventional water network

Process 1

Process 2

Process 3

Process 4

Wastewater

112.5 t/h

Fresh water

112.5 t/h

20.0 t/h

30.0 t/h

37.5 t/h

5.0 t/h

Page 9: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 9

(Wang & Smith, 1994, 1995)

Better water utilisation schemesBetter water utilisation schemesBetter water utilisation schemesBetter water utilisation schemes

Process 1

Process 2

RegenerationProcess 1

Process 2

Regeneration

Regeneration-reuse Regeneration-recycling

Process 1

Process 2

Reuse

Process 1

Recycle

Page 10: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 10

Limiting composite curveLimiting composite curveLimiting composite curveLimiting composite curveLimiting composite curveLimiting composite curveLimiting composite curveLimiting composite curve

2 7 37 41

C (ppm)

∆m (kg/h)

100

400

800

50

456

Process 3

Process 1

Process 2

Process 4

Page 11: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 11

Mass transferMass transferMass transferMass transferMass transferMass transferMass transferMass transfer--------based operationbased operationbased operationbased operationbased operationbased operationbased operationbased operation

Water for vessel washing

Wastewater generated from washing process

Vessel

Washing

Sour gas

Water

Sour water for regeneration

Sweet gasAbsorption

Page 12: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 12

NonNonNonNonNonNonNonNon--------mass transfer processesmass transfer processesmass transfer processesmass transfer processesmass transfer processesmass transfer processesmass transfer processesmass transfer processes

Boiler blowdownBoiler

Cooling tower make-up water

Cooling

tower

Utility make-up & blowdown

O2

NH3

C3H6

AN + H2O

C6H5NO2

Fe

H2O

C6H5NH2 +

Fe3O4

Reactant & by-product formation

Aniline production Acrylonitrile production

Page 13: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 13

An An An An An An An An AcrylonitrileAcrylonitrileAcrylonitrileAcrylonitrileAcrylonitrileAcrylonitrileAcrylonitrileAcrylonitrile ““““““““ANANANANANANANAN”””””””” PlantPlantPlantPlantPlantPlantPlantPlant

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam-jet Ejector

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Page 14: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 14

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam-jet Ejector

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

A poor recycleA poor recycleA poor recycleA poor recycleA poor recycleA poor recycleA poor recycleA poor recycle

Page 15: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 15

FW elimination in scrubber ?FW elimination in scrubber ?FW elimination in scrubber ?FW elimination in scrubber ?FW elimination in scrubber ?FW elimination in scrubber ?FW elimination in scrubber ?FW elimination in scrubber ?

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam-jet Ejector

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Page 16: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 16

FW elimination in the boiler?FW elimination in the boiler?FW elimination in the boiler?FW elimination in the boiler?FW elimination in the boiler?FW elimination in the boiler?FW elimination in the boiler?FW elimination in the boiler?

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam-jet Ejector

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Page 17: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 17

FW elimination in both scrubber FW elimination in both scrubber FW elimination in both scrubber FW elimination in both scrubber FW elimination in both scrubber FW elimination in both scrubber FW elimination in both scrubber FW elimination in both scrubber & boiler ?& boiler ?& boiler ?& boiler ?& boiler ?& boiler ?& boiler ?& boiler ?

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Fresh waterFresh water

Page 18: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 18

Stream segregation?Stream segregation?Stream segregation?Stream segregation?Stream segregation?Stream segregation?Stream segregation?Stream segregation?

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Fresh waterFresh water

Page 19: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 19

Add a purification unit?Add a purification unit?Add a purification unit?Add a purification unit?Add a purification unit?Add a purification unit?Add a purification unit?Add a purification unit?

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Fresh waterFresh water

Separator

Page 20: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 20

Defining separation technologiesDefining separation technologiesDefining separation technologiesDefining separation technologiesDefining separation technologiesDefining separation technologiesDefining separation technologiesDefining separation technologies

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Fresh waterFresh water

Ion Exchange Extraction

Page 21: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 21

Or hybrid separation?Or hybrid separation?Or hybrid separation?Or hybrid separation?Or hybrid separation?Or hybrid separation?Or hybrid separation?Or hybrid separation?

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Fresh waterFresh water

Ion Exchange

Extraction

Page 22: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 22

In different order?In different order?In different order?In different order?In different order?In different order?In different order?In different order?

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Fresh waterFresh water

Ion Exchange

Extraction

Page 23: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 23

The problem statementsThe problem statementsThe problem statementsThe problem statementsThe problem statementsThe problem statementsThe problem statementsThe problem statements

� Is there any possibility of water reuse in this process?

� How to minimise the fresh water usage?

� How much wastewater flowrates can be reduced?

� Where to place a water purifier?

Is there an optimal solution???

Page 24: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 24

Is there a quickIs there a quickIs there a quickIs there a quick----kill solution?kill solution?kill solution?kill solution?

Page 25: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 25

Recent advances in pinch analysisRecent advances in pinch analysisRecent advances in pinch analysisRecent advances in pinch analysis

1970s Synthesis of heat exchanger network (HEN)

1994 Water minimisation (water pinch)

1989 Synthesis of mass exchange network (MEN)

2002 Property integration (property pinch)

2007 Energy planning (carbon pinch)

1987 Synthesis of HEN for batch processes

Page 26: Water Pinch (Full)

Graphical targeting Graphical targeting Graphical targeting Graphical targeting Graphical targeting Graphical targeting Graphical targeting Graphical targeting –––––––– Material Material Material Material Material Material Material Material

Recovery Pinch Diagram Recovery Pinch Diagram Recovery Pinch Diagram Recovery Pinch Diagram Recovery Pinch Diagram Recovery Pinch Diagram Recovery Pinch Diagram Recovery Pinch Diagram

(El-Halwagi et al., 2003; Prakash & Shenoy, 2005)

Page 27: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 27

Water reuse/recycleWater reuse/recycleWater reuse/recycleWater reuse/recycle

Process 1

Process 2

Process 1

Process 2

Regeneration

Process 1

Process 2

Regeneration

Reuse

Regeneration-reuse

Regeneration-recycling

(Wang & Smith, 1994, 1995)

Process 1

Recycle

Current focus

Page 28: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 28

Graphical approach Graphical approach Graphical approach Graphical approach –––– Material Material Material Material recovery pinch diagram (MRPD)recovery pinch diagram (MRPD)recovery pinch diagram (MRPD)recovery pinch diagram (MRPD)

Page 29: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 29

Source: A stream which contains the targeted species. Each source has: �Flowrate Fi�Impurity concentration Ci

�Impurity load:mi = Fi Ci

Source: A stream which contains the targeted species. Each source has: �Flowrate Fi�Impurity concentration Ci

�Impurity load:mi = Fi Ci

Sink/source representationSink/source representationSink/source representationSink/source representationSink/source representationSink/source representationSink/source representationSink/source representation

Sink: An existing process unit/ equipment that can accept a source. Each sink has: �Flowrate Fj�Impurity concentration Cj

where: Cj

min≤ Cj≤ Cjmax

�Load capacity: mi = Fi Ci

Sink: An existing process unit/ equipment that can accept a source. Each sink has: �Flowrate Fj�Impurity concentration Cj

where: Cj

min≤ Cj≤ Cjmax

�Load capacity: mi = Fi Ci

Source iSegregated sources

j = 1

j = 2

Sinks j

?j = 3

i = 1

i = 2

i = 3

(El-Halwagi, 2006)

Page 30: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 30

Water sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN case

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam-jet Ejector

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s Water source ???

Page 31: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 31

Water sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN caseWater sinks & sources for AN case

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam-jet Ejector

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Page 32: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 32

TechnicalTechnicalTechnicalTechnicalTechnicalTechnicalTechnicalTechnical constraints constraints constraints constraints constraints constraints constraints constraints i. Scrubber

� 5.8 ≤ flowrate of wash feed (kg/s) ≤ 6.2

� 0.0 ≤ NH3 content of wash feed (ppm) ≤ 10.0

ii. Boiler feed water � NH3 content = 0.0 ppm

� AN content = 0.0 ppm

iii. Decanter� 10.6 ≤ feed flowrate (kg/s) ≤ 11.1

iv. Distillation column� 5.2 ≤ feed flowrate (kg/s) ≤ 5.7

� 0.0 ≤ NH3 content of feed (ppm) ≤ 30.0

� 80.0 ≤ AN content of feed (wt%) ≤ 100.0

Upper bound

Lower bound

Upper bound

Lower bound

Page 33: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 33

Limiting water data for AN caseLimiting water data for AN caseLimiting water data for AN caseLimiting water data for AN caseLimiting water data for AN caseLimiting water data for AN caseLimiting water data for AN caseLimiting water data for AN case

Water sinks, SKj Flowrate Concentration

j Stream Fj (kg/s) Cj (ppm)

1 Boiler feed water (BFW) 1.2 0

2 Scrubber 5.8 10

Water sources, SRi Flowrate Concentration

i Stream Fi (kg/s) Ci (ppm)

1 Distillation bottoms 0.8 0

2 Off-gas condensate 5.0 14

3 Aqueous layer 5.9 25

4 Ejector condensate 1.4 34

Page 34: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 34

Material recovery pinch diagramMaterial recovery pinch diagramMaterial recovery pinch diagramMaterial recovery pinch diagramMaterial recovery pinch diagramMaterial recovery pinch diagramMaterial recovery pinch diagramMaterial recovery pinch diagram

� Fulfil the following constraints:� Material flowrate

� Impurity load

� Not limited to water network, other applications include gas & property network.

� Steps required:� Arrange water sinks & sources according to their respective

concentration level in ascending order

� Plot flowrate vs. limiting mass load for all water sinks to form sink composite curve

� Plot flowrate vs. limiting mass load for all water sources to form source composite curve

� Shift source composite to the right & below sink composite

Page 35: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 35

Sink composite curveSink composite curveSink composite curveSink composite curveSink composite curveSink composite curveSink composite curveSink composite curve

Sink, SKj Fj (kg/s) Cj (ppm) mj (mg/s)

SK1 1.2 0 0

SK2 5.8 10 58

ΣΣΣΣj 7.0 58

Lim

itin

g m

ass

lo

ad

(m

g/s

)

Flowrate (kg/s)5 10 15

50

100

150

200

250

300

SK1

SK2

Page 36: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 36

Source composite curveSource composite curveSource composite curveSource composite curveSource composite curveSource composite curveSource composite curveSource composite curveSource Fi (kg/s) Ci (ppm) mi (mg/s)

SR1 0.8 0 0

SR2 5.0 14 70.0

SR3 5.9 25 147.5

SR4 1.4 34 47.6

ΣΣΣΣi 13.1 265.1

Lim

itin

g m

ass

lo

ad

(m

g/s

)

Flowrate (kg/s)5 10 15

50

100

150

200

250

300

SR1

SR2

SR3

SR4

Page 37: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 37

Source composite curveSource composite curveSource composite curveSource composite curveSource composite curveSource composite curveSource composite curveSource composite curveSource Fi (kg/s) Ci (ppm) mi (mg/s)

SR1 0.8 0 0

SR2 5.0 14 70.0

SR3 5.9 25 147.5

SR4 1.4 34 47.6

ΣΣΣΣi 13.1 265.1

Lim

itin

g m

ass

lo

ad

(m

g/s

)

Flowrate (kg/s)5 10 15

50

100

150

200

250

300

FFW = 2.1FWW = 8.2

Page 38: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 38

Pure vs. impure fresh sourcePure vs. impure fresh sourcePure vs. impure fresh sourcePure vs. impure fresh sourcePure vs. impure fresh sourcePure vs. impure fresh sourcePure vs. impure fresh sourcePure vs. impure fresh source

Impurity load

Flowrate

Minimum

waste

Maximum

recycle

Pinch

point

Sink

composite

Source

composite

Minimum

fresh

Impurity load

Flowrate

Minimum

waste

Maximum

recycle

Pinch

point

Sink

composite

Source

composite

Minimum

fresh

Impure fresh

locus

Page 39: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 39

Less & over integrationLess & over integrationLess & over integrationLess & over integrationLess & over integrationLess & over integrationLess & over integrationLess & over integration

Impurity load

Flowrate

Minimum

waste

Recycle

Pinch

point

Sink

composite

Source

composite

Minimum

fresh

αααα

αααααααα

Impurity load

Flowrate

WasteRecycle

Infeasible

region

Sink

composite

Source

composite

Fresh

(El-Halwagi, 2006)

Page 40: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 40Copyright@Dominic Foo H84PSD - Process Synthesis & Design Lecture 3 - 40

Significant of the pinch pointSignificant of the pinch pointSignificant of the pinch pointSignificant of the pinch pointSignificant of the pinch pointSignificant of the pinch pointSignificant of the pinch pointSignificant of the pinch point

� The pinch point always located at the pinch causing source

� Some golden rules

�Fresh resource can only be used in lower conc. region

�Sources above the pinch (including fresh feed) should not be fed to sink below the pinch, & may not also mix with sources that are below the pinch concentration.

� The pinch causing source is an exception, as part of it belongs to the region below the pinch.

(Hallale 2002; Manan et al., 2004)

Page 41: Water Pinch (Full)

Network design technique Network design technique Network design technique Network design technique ––––

Nearest Nearest Nearest Nearest NeighbourNeighbourNeighbourNeighbour Algorithm (NNA)Algorithm (NNA)Algorithm (NNA)Algorithm (NNA)

(Prakash & Shenoy, 2005a)

Page 42: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 42

Basic principleBasic principleBasic principleBasic principle

� To satisfy a sink, the source to be chosen are the nearest available neighbors to the sink in terms of impurity concentration.

� A source that is just cleaner and a source that is just dirtier than the sink are mixed to satisfy the sink.

SR1

SK150 ppm

SR3SR2

0 ppm 80 ppm 100 ppm

SR1

SK150 ppm

SR3SR2

0 ppm 20 ppm 100 ppm

Page 43: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 43

Basic principleBasic principleBasic principleBasic principle

� If the required amount of a source is not available, then whatever is available of that source is used completely and the next neighbor source is considered to satisfy the sink.

SR1

SK1150 t/h50 ppm

SR3SR2

100 ton/h

0 ppm

1 ton/h

80 ppm

20 ton/h

100 ppm

Page 44: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 44

Important equationsImportant equationsImportant equationsImportant equations

� Assign a pair of neighbours (sources) for the sink:

�Neighbour 1 (N1) – lower C than the sink

�Neighbour 2 (N2) – higher C than the sink

� Solve the flowrate allocation from source i (i.e. i = N1 & N2) to sink j:

�Overall material balance:

� Impurity balance:

jjj FFF SKSK N2,SK N1, =+

jjjj CFCFCF SKSKN2SK N2,1NSK N1, =+

Page 45: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 45

Main steps for NNAMain steps for NNAMain steps for NNAMain steps for NNA1. Arrange sinks/sources in increasing order of C, and start

from sink with lowest Cj.2. Identify source with the same conc. as the sink, i.e. Ci = Cj �

to Step 3; else to Step 4.3. Feed source to the sink when Ci = Cj:

a) If Fi ≥ Fj , source is sufficient to satisfy the sink; to Step 2 for the next sink

b) If Fi ≤ Fj , feed the whole source to the sink, to Step 4

4. Identify the pair of neighbours for the sink; determine the flowrate using Eqs. (1) and (2).

5. Feed source to the sink:a) If Fi,j ≤ the available Fi, the entire sink requirement is met � to Step 2

for next sink.b) If Fi,j ≥ the available Fi, use the entire source & solve for next pair of

neighbours.

6. Repeat Steps 2 – 5 for all sinks.

Page 46: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 46

Example (Example (Example (Example (PolleyPolleyPolleyPolley & & & & PolleyPolleyPolleyPolley, 2000) , 2000) , 2000) , 2000)

20070SK4

10080SK3

50100SK2

2050SK1

15070SR3

100100SR2

25060SR4

5050SR1

Concentration, C (ppm)

Water flowrate, Fi (t/h)

Sources, SRi

Concentration, C (ppm)

Water flowrate, Fj (t/h)

Sinks, SKj

(Answer: FFW = 70 t/h; FWW = 50 t/h; Cpinch = 150 ppm)

Page 47: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 47

Network design with NNANetwork design with NNANetwork design with NNANetwork design with NNA

SK1F = 50 t/hC = 20 ppmm = 1000

SK2F = 100 t/hC = 50 ppmm = 5000

SK3F = 80 t/hC = 100 ppmm = 8000

SR1

SR2

SR3

SR4

20 t/h 65 t/h 35 t/h

25 t/h

30 t/h 35 t/h

SK4F = 70 t/hC = 200 ppmm = 14000

35 t/h

F = 50 t/h

C = 50 ppm

F = 100 t/h

C = 100 ppm

F = 70 t/h

C = 150 ppm

F = 60 t/h

C = 250 ppm

10 t/h

5 t/h

FW

25 t/h

35 t/h30 t/h

F = 70 t/h

C = 0 ppm

Page 48: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 48

Sink/source matching matrixSink/source matching matrixSink/source matching matrixSink/source matching matrix

SR425060

SR315070

SR2100100

SR15050

FW070

WWSK4SK3SK2SK1SK

j

SRi

Ci(ppm)F

i(t/h)

2001005020Cj(ppm)

50708010050Fj(t/h)

Page 49: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 49

Back to AN case againBack to AN case againBack to AN case againBack to AN case againBack to AN case againBack to AN case againBack to AN case againBack to AN case again

Water sinks, SKj Flowrate Concentration

j Stream Fj (kg/s) Cj (ppm)

1 Boiler feed water (BFW) 1.2 0

2 Scrubber 5.8 10

Water sources, SRi Flowrate Concentration

i Stream Fi (kg/s) Ci (ppm)

1 Distillation bottoms 0.8 0

2 Off-gas condensate 5.0 14

3 Aqueous layer 5.9 25

4 Ejector condensate 1.4 34

Page 50: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 50

Network design with NNANetwork design with NNANetwork design with NNANetwork design with NNA

SK1F = 1.2 kg/sC = 0m = 0

SK2F = 5.8 kg/sC = 10m = 58

SR1

SR2

SR3

SR4

F = 0.8 kg/s

C = 0 ppm

F = 5.0 kg/s

C = 14 ppm

F = 5.9 kg/s

C = 25 ppm

F = 1.4 kg/s

C = 34 ppm

FWF = 2.1 kg/s

C = 0 ppm1.7 kg/s0.4 kg/s

4.1 kg/s

8.2 kg/s

Page 51: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 51

Alternative designAlternative designAlternative designAlternative design

SK1F = 1.2 kg/sC = 0m = 0

SK2F = 5.8 kg/sC = 10m = 58

SR1

SR2

SR3

SR4

F = 0.8 kg/s

C = 0 ppm

F = 5.0 kg/s

C = 14 ppm

F = 5.9 kg/s

C = 25 ppm

F = 1.4 kg/s

C = 34 ppm

FWF = 2.1 kg/s

C = 0 ppm0.9 kg/s1.2 kg/s

4.1 kg/s

8.2 kg/s

Page 52: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 52

Network design for reuse/recycleNetwork design for reuse/recycleNetwork design for reuse/recycleNetwork design for reuse/recycle

Reactor

Decanter

Distillation

Column

O2

Aqueous

layer

ScrubberNH3

C3H6

Steam

Wastewater to Biotreatment

Off-Gas

Condensate

Condensate

Bottoms

Water

AN to sales

6.0 kg H2O/s5.0 kg AN/s

5.1 kg H2O/s

+ Gases Tail gases

to disposal

Boiler

BFW

1.2 kg H2O/s

14 ppm NH3

0.4 kg AN/s

4.6 kg H2O/s

18 ppm NH3

4.6 kg AN/s

6.5 kg H2O/s

10 ppm NH3

4.2 kg AN/s

1.0 kg H2O/s

25 ppm NH3

0.4 kg AN/s

5.5 kg H2O/s

0 ppm NH3

0.1 kg AN/s

0.7 kg H2O/s

1 ppm NH3

3.9 kg AN/s

0.3 kg H2O/s

34 ppm NH3

0.2 kg AN/s

1.2 kg H2O/s

20 ppm NH3

1.1 kg AN/s

12.0 kg H2O/s

Fresh waterFresh water

Page 53: Water Pinch (Full)

Network evolution techniquesNetwork evolution techniquesNetwork evolution techniquesNetwork evolution techniques

(Prakash & Shenoy, 2005b; Ng & Foo, 2006)

Page 54: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 54

Source Shift Algorithm (SSA)Source Shift Algorithm (SSA)Source Shift Algorithm (SSA)Source Shift Algorithm (SSA)

� Objective: To simplify a preliminary networkdesigned by NNA

� 2 main criteria to consider sink-source candidates:

�CSK = CSR

�FSK ≤ FSR

� Main steps:

� Identify the sink-source pairs that fulfil both criteria

�Feed the sink fully with the source

�An equal flowrate of source(s) will be shifted to the sink that was originally fed by the source

Page 55: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 55

SK1F = 100 t/hC = 100 ppm

SK2F = 100 t/hC = 100 ppm

FWF = 50 t/hC = 0 ppm

SR1F = 100 t/hC = 100 ppm

SR2F = 50 t/h

C = 200 ppm

25 25

25 25

50 50(50)

(25)

(25)

(a) (b)

SK2F = 100 t/hC = 100 ppm

SK1F = 100 t/hC = 100 ppm

FWF = 50 t/hC = 0 ppm

SR1F = 100 t/hC = 100 ppm

SR2F = 50 t/h

C = 200 ppm

100

50

50

A simple exampleA simple exampleA simple exampleA simple example

Page 56: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 56

Another configurationAnother configurationAnother configurationAnother configuration

SK1F = 100 t/hC = 100 ppm

SK2F = 100 t/hC = 100 ppm

FWF = 50 t/hC = 0 ppm

SR1F = 100 t/hC = 100 ppm

SR2F = 50 t/h

C = 200 ppm

25 25

25 25

50 50(50)

(25)

(25)

(a) (b)

SK2F = 100 t/hC = 100 ppm

SK1F = 100 t/hC = 100 ppm

FWF = 50 t/hC = 0 ppm

SR1F = 100 t/hC = 100 ppm

SR2F = 50 t/h

C = 200 ppm

100

50

50

Page 57: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 57

Example (Example (Example (Example (PolleyPolleyPolleyPolley & & & & PolleyPolleyPolleyPolley, 2000) , 2000) , 2000) , 2000)

20070SK4

10080SK3

50100SK2

2050SK1

15070SR3

100100SR2

25060SR4

5050SR1

Concentration, C (ppm)

Water flowrate, Fi (t/h)

Sources, SRi

Concentration, C (ppm)

Water flowrate, Fj (t/h)

Sinks, SKj

(Answer: FFW = 70 t/h; FWW = 50 t/h; Cpinch = 150 ppm)

Page 58: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 58

Identifying sinkIdentifying sinkIdentifying sinkIdentifying sink----source pairssource pairssource pairssource pairs

2535SR425060

253510SR315070

6535SR2100100

3020SR15050

53530FW070

WWSK4SK3SK2SK1SK

j

SRi

Ci(ppm)F

i(t/h)

2001005020Cj(ppm)

50708010050Fj(t/h)

Page 59: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 59

Interconnections: 12 Interconnections: 12 Interconnections: 12 Interconnections: 12 ���� 11 11 11 11 ���� 10101010

2535SR425060

253510SR315070

6535SR2100100

3020SR15050

53530FW070

WWSK4SK3SK2SK1SK

j

SRi

Ci(ppm)F

i(t/h)

2001005020Cj(ppm)

50708010050Fj(t/h)

5

15

10

80

40

10

20

25

2560

5010

Page 60: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 60

Water Path Analysis (WPA)Water Path Analysis (WPA)Water Path Analysis (WPA)Water Path Analysis (WPA)

� Definition: a continuous route which starts from a fresh source, linked with the sink-source connections, and end at a waste sink.

� Objective: Generate alternative networks by adding fresh resource penalties.

� Analogy:� Utility path in removing the smallest heat exchanger unit in HEN

(Linnhoff et al., 1982; Smith, 1995, 2005).

� Mass-load path to reduce number of mass exchangers in MEN (El-Halwagi, 1997).

� Heuristic: to minimise water penalty, remove the smallest match among all L-kink connections within all available water paths.

Page 61: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 61

Identifying water pathsIdentifying water pathsIdentifying water pathsIdentifying water paths

5010SR425060

6010SR315070

8020SR2100100

3020SR15050

4030FW070

WWSK4SK3SK2SK1SK

j

SRi

Ci(ppm)F

i(t/h)

2001005020Cj(ppm)

50708010050Fj(t/h)

Page 62: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 62

Remove 2 matches with 10 t/h FWRemove 2 matches with 10 t/h FWRemove 2 matches with 10 t/h FWRemove 2 matches with 10 t/h FW

5010SR425060

6010SR315070

8020SR2100100

3020SR15050

4030FW070

WWSK4SK3SK2SK1SK

j

SRi

Ci(ppm)F

i(t/h)

2001005020Cj(ppm)

50708010050Fj(t/h)

50

60

7010

10

Page 63: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 63

Remove 3 matches with 30 t/h FWRemove 3 matches with 30 t/h FWRemove 3 matches with 30 t/h FWRemove 3 matches with 30 t/h FW

60SR425060

70SR315070

8020SR2100100

3020SR15050

5030FW070

WWSK4SK3SK2SK1SK

j

SRi

Ci(ppm)F

i(t/h)

2001005020Cj(ppm)

50708010050Fj(t/h)

20

50

5020

20

Page 64: Water Pinch (Full)

Algebraic approach Algebraic approach Algebraic approach Algebraic approach Algebraic approach Algebraic approach Algebraic approach Algebraic approach ––––––––

Water Cascade Analysis Water Cascade Analysis Water Cascade Analysis Water Cascade Analysis Water Cascade Analysis Water Cascade Analysis Water Cascade Analysis Water Cascade Analysis

(Manan et al., 2004; Foo et al., 2006)

Page 65: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 65

Graphical vs. algebraic approachesGraphical vs. algebraic approachesGraphical vs. algebraic approachesGraphical vs. algebraic approachesGraphical vs. algebraic approachesGraphical vs. algebraic approachesGraphical vs. algebraic approachesGraphical vs. algebraic approaches

Graphical approachGraphical approach

� Advantages� Good insights of the

problems

� Intuitive

� Limitations� Tedious solution for

complex problem

� Inaccuracy problems

� Scaling problems/ dimensionality

Algebraic ApproachAlgebraic Approach

� Advantages

� Computational effectiveness

� Ease for large & complex problems

� Interaction with other softwares, e.g. process simulators, spreadsheets

� Limitations� Less insight on the problem

Page 66: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 66

Concept of material cascadingConcept of material cascadingConcept of material cascadingConcept of material cascadingConcept of material cascadingConcept of material cascadingConcept of material cascadingConcept of material cascading

100 ppm

100 kg/s

200 ppm

–50 kg/s

100 kg/s

(waste)

100 kg/s

(fresh source)

100 ppm

100 kg/s

200 ppm

–50 kg/s

100 kg/s

50 kg/s(waste)

Without reuse Reuse

Page 67: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 67

General formGeneral formGeneral formGeneral formGeneral formGeneral formGeneral formGeneral form

k Ck ΣΣΣΣj Fj ΣΣΣΣi Fi ΣΣΣΣi Fi −−−− ΣΣΣΣj Fj F

C, k ∆∆∆∆m kCum. ∆∆∆∆mk

FF

k Ck (Σ

jFj)1

(ΣiFi)1

(ΣiFi− Σ

jFj)1

FC, k ∆m

k

k + 1 Ck+1 (Σ

jFj)k+1

(ΣiFi)k+1

(ΣiFi− Σ

jFj)k+1

Cum. ∆mk+1

FFW, k+1

FC, k+1 ∆m

k+1

……

……

……

……

……

……

……

……

……

n – 2 Cn–2 (Σ

jFj)n-2

(ΣiFi)n-2

(ΣiFi− Σ

jFj)n-2

FC, n–2 ∆m

n–2

n – 1 Cn–1 (Σ

jFj)n-1

(ΣiFi)n-1

(ΣiFi− Σ

jFj)n-1

Cum. ∆mn–1

FFW, n–1

FC, n–1

= FW ∆m

n–1

n Cn Cum. ∆m

nFFW, n

FW

FW,

Cum.

CC

mF

k

kk

∆=

Page 68: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 68

Example of WCA Example of WCA Example of WCA Example of WCA Example of WCA Example of WCA Example of WCA Example of WCA –––––––– AN productionAN productionAN productionAN productionAN productionAN productionAN productionAN production

Water sinks, SKj Flowrate Concentration

j Stream Fj (kg/s) Cj (ppm)

1 Boiler feed water (BFW) 1.2 0

2 Scrubber 5.8 10

Water sources, SRi Flowrate Concentration

i Stream Fi (kg/s) Ci (ppm)

1 Distillation bottoms 0.8 0

2 Off-gas condensate 5.0 14

3 Aqueous layer 5.9 25

4 Ejector condensate 1.4 34

Page 69: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 69

Infeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascade

kCk

(ppm)ΣΣΣΣj Fj

(kg/s)ΣΣΣΣi Fi

(kg/s)ΣΣΣΣi Fi - ΣΣΣΣj Fj

(kg/s)FC

(kg/s)∆∆∆∆m

(mg/s)Cum. ∆∆∆∆m

(mg/s)(kg/s)

1 0 1.2 0.8 -0.4

-0.4 -4

2 10 5.8 -5.8 -4 -0.40

-6.2 -24.8

3 14 5 5 -28.8 -2.06

-1.2 -13.2

4 25 5.9 5.9 -42 -1.68

4.7 42.3

5 34 1.4 1.4 0.3 0.01

6.1 6099792.6

6 1000000 6099792.9 6.10

FW

FW,

Cum.

CC

mF

k

kk

∆=

Page 70: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 70

Feasible cascade Feasible cascade Feasible cascade Feasible cascade Feasible cascade Feasible cascade Feasible cascade Feasible cascade

kCk

(ppm)ΣΣΣΣj Fj

(kg/s)ΣΣΣΣi Fi

(kg/s)ΣΣΣΣi Fi - ΣΣΣΣj Fj

(kg/s)FC

(kg/s)∆∆∆∆m

(mg/s)Cum. ∆∆∆∆m

(mg/s)

FFW = 2.06

1 0 1.2 0.8 -0.4

1.66 16.57

2 10 5.8 -5.8 16.57

-4.14 -16.57

3 14 5 5 0.00

0.86 9.43 (PINCH)

4 25 5.9 5.9 9.43

6.76 60.81

5 34 1.4 1.4 70.24

FWW = 8.16 8156865.51

6 1000000 8156935.76

Page 71: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 71

Water allocation targetsWater allocation targetsWater allocation targetsWater allocation targetsWater allocation targetsWater allocation targetsWater allocation targetsWater allocation targets

kCk

(ppm)ΣΣΣΣj Fj

(kg/s)ΣΣΣΣi Fi

(kg/s)ΣΣΣΣi Fi - ΣΣΣΣj Fj

(kg/s)FC

(kg/s)∆∆∆∆m

(mg/s)Cum. ∆∆∆∆m

(mg/s)

FFW = 2.06

1 0 1.2 0.8 -0.4

1.66 16.57

2 10 5.8 -5.8 16.57

-4.14 -16.57

3 14 5 5 0.00

0.86 9.43 (PINCH)

4 25 5.9 5.9 9.43

6.76 60.81

5 34 1.4 1.4 70.24

FWW = 8.16 8156865.51

6 1000000 8156935.76

Pinch causing source

(Manan et al., 2004)

Lower conc.

region

Higher conc.

region

Page 72: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 72

Example (Example (Example (Example (PolleyPolleyPolleyPolley & & & & PolleyPolleyPolleyPolley, 2000) , 2000) , 2000) , 2000)

20070SK4

10080SK3

50100SK2

2050SK1

15070SR3

100100SR2

25060SR4

5050SR1

Concentration, C (ppm)

Water flowrate, Fi (t/h)

Sources, SRi

Concentration, C (ppm)

Water flowrate, Fj (t/h)

Sinks, SKj

(Answer: FFW = 70 t/h; FWW = 50 t/h; Cpinch = 150 ppm)

Page 73: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 73

Infeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascadeInfeasible cascade

4

5

k Ck ΣΣΣΣj Fj ΣΣΣΣi Fi ΣΣΣΣi Fi - ΣΣΣΣj Fj FC ∆∆∆∆m Cum. ∆∆∆∆m

01 20

2

3

6

7 106

F

F,

Cum.

CC

mF

k

kk

∆=

Page 74: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 74

Feasible cascadeFeasible cascadeFeasible cascadeFeasible cascadeFeasible cascadeFeasible cascadeFeasible cascadeFeasible cascade

4

5

k Ck ΣΣΣΣj Fj ΣΣΣΣi Fi ΣΣΣΣi Fi - ΣΣΣΣj Fj FC ∆∆∆∆m Cum. ∆∆∆∆m

FFW = _______1 20

2

3

6FWW = _______

7 106

Page 75: Water Pinch (Full)

Targeting for water regenerationTargeting for water regenerationTargeting for water regenerationTargeting for water regeneration

(Ng et al., 2007, 2008)

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Copyright@Dominic Foo Pinch Analysis for Water Recovery 76

Water regenerationWater regenerationWater regenerationWater regenerationWater regenerationWater regenerationWater regenerationWater regeneration

Process 1

Process 2

Process 1

Process 2

Regeneration

Process 1

Process 2

Regeneration

Reuse

Regeneration-reuse

Regeneration-recycling

(Wang & Smith, 1994, 1995)

Process 1

RecycleCurrent focus

Page 77: Water Pinch (Full)

Copyright@Dominic Foo Pinch Analysis for Water Recovery 77

Process 1

Process 3 Process 4

Process 2

FW WW

Reuse

Recycle

FW : fresh water WW : wastewater

Reuse

Water reuse/recycle schemeWater reuse/recycle schemeWater reuse/recycle schemeWater reuse/recycle schemeWater reuse/recycle schemeWater reuse/recycle schemeWater reuse/recycle schemeWater reuse/recycle scheme

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Regeneration processes(concentration/pressure driven)

Mass separating agents Power/pressure

FW : fresh water WW : wastewater RW : regenerated water

Water reuse/recycle + regenerationWater reuse/recycle + regenerationWater reuse/recycle + regenerationWater reuse/recycle + regenerationWater reuse/recycle + regenerationWater reuse/recycle + regenerationWater reuse/recycle + regenerationWater reuse/recycle + regeneration

Process 1

Process 3 Process 4

Process 2

FW

WW

RW

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Example (Example (Example (Example (Example (Example (Example (Example (PolleyPolleyPolleyPolleyPolleyPolleyPolleyPolley & & & & & & & & PolleyPolleyPolleyPolleyPolleyPolleyPolleyPolley, 2000) , 2000) , 2000) , 2000) , 2000) , 2000) , 2000) , 2000)

Sinks, SKj

Water flowrate, Fj (t/h)

Concentration, C (ppm)

SK1 50 20

SK2 100 50

SK3 80 100

SK4 70 200

Sources,

SRi

Water flowrate, Fi (t/h)

Concentration, C (ppm)

SR1 50 50

SR2 100 100

SR3 70 150

SR4 60 250

(Answer: FFW = 70 t/h; FWW = 50 t/h; Cpinch = 150 ppm)

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AlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithm

Assumptions:

1. Fixed regen outlet concentration (Cout)

2. Cost of regeneration is omitted

Source(s) is shifted to the FWR from highest

Cj until ΣjFj= ΣiFi in the RWR

Set regeneration concentration, Cout

Preliminary allocation – water sinks/sources are separated

into FWR (Ci ,Cj < Cout) and RWR (Ci ,Cj > Cout)

RWR

ΣjFj> ΣiFi

NO

YES

Sink(s) is shifted to the FWR from lowest Cj until

ΣjFj= ΣiFi in the RWR

Additional sink (Fj, A) and source flowrate (Fi, A) are

shifted to the FWR, calculated based on:

Fj Cj = Fi, A (Ci, A – Cj, A)

Ultimate flowrate targets

START

All SKj in the FWR with

Cj= 0 ppm?

YES

NO

END

Determine FFW and FWW in FWR

Total FRW = FRW, FWR + FRW, RWR

FRW, FWR is added at Cout in FWR

Calculate FRW, FWR = ((Fj× Cj)/ CF)

ΣiFi (with Ci higher than

Cout) ≤ FRW, FWR

Note: FWR – fresh water regionRWR – regenerated water region

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Preliminary allocation (Preliminary allocation (Preliminary allocation (Preliminary allocation (Preliminary allocation (Preliminary allocation (Preliminary allocation (Preliminary allocation (CCCCCCCCoutoutoutoutoutoutoutout = 10 ppm)= 10 ppm)= 10 ppm)= 10 ppm)= 10 ppm)= 10 ppm)= 10 ppm)= 10 ppm)

k C ΣjFj

Σi Fi

Σi Fi− Σ

i Fj

FC ∆m

kCum ∆m

k

FFW = 70.00

1 0 0 70 1.41.4

2 20 50 -50 20 0.62

3 50 100 50 -50 -30 -1.50.5

4 100 80 100 20 -10 -0.50

5 150 70 70 60 3 (PINCH)3

6 200 70 -70 -10 -0.52.5

7 250 60 60 FWW= 50.00 49987.549990

11 106 0

Total 300 280

Cout = 10 ppm

No FW is used here

May use both FW or RW

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AlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithm

Source(s) is shifted to the FWR from highest

Cj until ΣjFj= ΣiFi in the RWR

Set regeneration concentration, Cout

Preliminary allocation – water sinks/sources are separated

into FWR (Ci ,Cj < Cout) and RWR (Ci ,Cj > Cout)

RWR

ΣjFj> ΣiFi

NO

YES

Sink(s) is shifted to the FWR from lowest Cj until

ΣΣΣΣjFj= ΣΣΣΣiFi in the RWR

Additional sink (Fj, A) and source flowrate (Fi, A)

are shifted to the FWR, calculated based on:

Fj Cj = Fi, A (Ci, A – Cj, A)

Ultimate flowrate targets

START

All SKj in the FWR with

Cj= 0 ppm?

YES

NO

END

Determine FFW and FWW in FWR

Total FRW = FRW, FWR + FRW, RWR

FRW, FWR is added at Cout in FWR

Calculate FRW, FWR = ((Fj× Cj)/ CF)

ΣiFi (with Ci higher than

Cout) ≤ FRW, FWR

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Reallocation of Reallocation of Reallocation of Reallocation of Reallocation of Reallocation of Reallocation of Reallocation of sink(ssink(ssink(ssink(ssink(ssink(ssink(ssink(s) & ) & ) & ) & ) & ) & ) & ) & source(ssource(ssource(ssource(ssource(ssource(ssource(ssource(s))))))))FWR RWR

C ΣjFj Σi Fi C ΣjFj Σi Fi0 Cout= 10

20 20 20 30

50 50 100 50

100 100 80 100

150 150 70

200 200 70

250 250 60

106 106

Total 20 Total 280 280

Why should we use FW this source can tolerate dirty water? Can we maximise its load?

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AlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithm

Source(s) is shifted to the FWR from highest

Cj until ΣjFj= ΣiFi in the RWR

Set regeneration concentration, Cout

Preliminary allocation – water sinks/sources are separated

into FWR (Ci ,Cj < Cout) and RWR (Ci ,Cj > Cout)

RWR

ΣjFj> ΣiFi

NO

YES

Sink(s) is shifted to the FWR from lowest Cj until

ΣΣΣΣjFj= ΣΣΣΣiFi in the RWR

Additional sink (Fj, A) and source flowrate (Fi, A)

are shifted to the FWR, calculated based on:

Fj Cj = Fi, A (Ci, A – Cj, A)

Ultimate flowrate targets

START

All SKj in the FWR with

Cj= 0 ppm?

YES

NO

END

Determine FFW and FWW in FWR

Total FRW = FRW, FWR + FRW, RWR

FRW, FWR is added at Cout in FWR

Calculate FRW, FWR = ((Fj× Cj)/ CF)

ΣiFi (with Ci higher than

Cout) ≤ FRW, FWR

Sink of the lowest Cj

Sources of the lowest Ci & positive value in the ΣiFi –ΣjFj column of WCT

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Reallocation of Reallocation of Reallocation of Reallocation of Reallocation of Reallocation of Reallocation of Reallocation of sink(ssink(ssink(ssink(ssink(ssink(ssink(ssink(s) & ) & ) & ) & ) & ) & ) & ) & source(ssource(ssource(ssource(ssource(ssource(ssource(ssource(s))))))))FWR RWR

C ΣjFj Σi Fi C ΣjFj Σi Fi0 Cout= 10

20 20 + 5 20 30 – 5

50 50 100 50

100 + 5 100 80 100 – 5

150 150 70

200 200 70

250 250 60

106 106

Total 20 + 5 5 Total 275 275

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AlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithmAlgorithm

Source(s) is shifted to the FWR from highest

Cj until ΣjFj= ΣiFi in the RWR

Set regeneration concentration, Cout

Preliminary allocation – water sinks/sources are separated

into FWR (Ci ,Cj < Cout) and RWR (Ci ,Cj > Cout)

RWR

ΣjFj> ΣiFi

NO

YES

Sink(s) is shifted to the FWR from lowest Cj until

ΣjFj= ΣiFi in the RWR

Additional sink (Fj, A) and source flowrate (Fi, A) are

shifted to the FWR, calculated based on:

Fj Cj = Fi, A (Ci, A – Cj, A)

Ultimate flowrate targets

START

All SKj in the FWR with

Cj= 0 ppm?

YES

NO

END

Determine FFW and FWW in FWR

Total FRW = FRW, FWR + FRW, RWR

FRW, FWR is added at Cout in FWR

Calculate FRW, FWR = ((Fj× Cj)/ CF)

ΣiFi (with Ci higher than

Cout) ≤ FRW, FWR

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FW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWR

kCk

(ppm)ΣΣΣΣj Fj(t/h)

ΣΣΣΣi Fi(t/h)

ΣΣΣΣi Fi - ΣΣΣΣj Fj(t/h)

FC

(t/h)∆∆∆∆m

(kg/h)Cum. ∆∆∆∆m

(kg/h)(t/h)

FFW =____

1 0

2 20 25 -25

3 50

4 100 5 5

FWW=____

5 106

Total 25 5

FW

FW,

Cum.

CC

mF

k

kk

∆=

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FW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWRFW & WW targeting in FWR

kCk

(ppm)ΣΣΣΣj Fj(t/h)

ΣΣΣΣi Fi(t/h)

ΣΣΣΣi Fi - ΣΣΣΣj Fj(t/h)

FC

(t/h)∆∆∆∆m

(kg/h)Cum. ∆∆∆∆m

(kg/h)

FFW =______

1 0

0.40

2 20 25 -25 0.40

-0.15

3 50 0.25

-0.25

4 100 5 5 0.00

0.00

5 106 FWW =_____ 0.00

Total 25 5

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RW

FW,

Cum.

CC

mF

k

kk

∆=k

Ck(ppm)

ΣΣΣΣj Fj(t/h)

ΣΣΣΣi Fi(t/h)

ΣΣΣΣi Fi - ΣΣΣΣj Fj(t/h)

FC

(t/h)∆∆∆∆m

(kg/h)Cum. ∆∆∆∆m

(kg/h) (t/h)

1 Cout= 10 FRW = ____

2 20 25 -25

3 50 100 50 -50

4 100 80 95 15

5 150 70 70

6 200 70 -70

7 250 60 60

FRW = ____8 106

Total 275 275

RW targeting in RWR (infeasible)RW targeting in RWR (infeasible)RW targeting in RWR (infeasible)RW targeting in RWR (infeasible)RW targeting in RWR (infeasible)RW targeting in RWR (infeasible)RW targeting in RWR (infeasible)RW targeting in RWR (infeasible)

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RW targeting in RWR (feasible)RW targeting in RWR (feasible)RW targeting in RWR (feasible)RW targeting in RWR (feasible)RW targeting in RWR (feasible)RW targeting in RWR (feasible)RW targeting in RWR (feasible)RW targeting in RWR (feasible)

kCk

(ppm)ΣΣΣΣj Fj(t/h)

ΣΣΣΣi Fi(t/h)

ΣΣΣΣi Fi - ΣΣΣΣj Fj(t/h)

FC

(t/h)∆∆∆∆m

(kg/h)Cum. ∆∆∆∆m

(kg/h)FRW = ________

1 Cout= 10

53.57 0.54

2 20 25 -25 0.54

28.57 0.86

3 50 100 50 -50 1.39

-21.43 -1.07

4 100 80 95 15 0.32

-6.43 -0.32

5 150 70 70 0.00

63.57 3.18

6 200 70 -70 3.18

-6.43 -0.32

7 250 60 60 2.86

FRW = ________ 0.54

8 106 53560

Total 275 275

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Nearest neighbour algorithmNearest neighbour algorithmNearest neighbour algorithmNearest neighbour algorithmNearest neighbour algorithmNearest neighbour algorithmNearest neighbour algorithmNearest neighbour algorithm

� Apply NNA (Prakash & Shenoy, 2005) based on the 2 general equations:

�Overall material balance:

� Impurity balance:

� Design separately for FWR & RWR.

jjj FFF SKSK N2,SK N1, =+

jjjj CFCFCF SKSKN2SK N2,1NSK N1, =+

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Network design with NNANetwork design with NNANetwork design with NNANetwork design with NNANetwork design with NNANetwork design with NNANetwork design with NNANetwork design with NNA

SK1F = 50 t/hC = 20m = 1000

SK2F = 100 t/hC = 50m = 5000

SK3F = 80 t/hC = 100m = 8000

SR1

SR2

SR3

SR4

SK4F = 70 C = 200m = 14000

F = 50

C = 50

F = 100

C = 100

F = 70

C = 150

F = 60

C = 250

RW

FFW = 20 t/h

FRW = 53.57 t/h

FWW = 0 t/h

F = 53.57

C = 10

FWF = 20

C = 0 20

5

From FWR

From FWR

18.75

6.25

6.43

63.57

3.57

70

6.43

25

43.75

31.25

Reg

eneration

53.57

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Comparison of various casesComparison of various casesComparison of various casesComparison of various cases

020Regeneration

5070Reuse/recycle

280300Base case

FWW (ton/h)FFW (ton/h)Polley & Polley

7.31.2Regeneration*

8.22.1Reuse/recycle

13.17.0Base case

FWW (kg/s)FFW (kg/s)AN case

* Your own exercise

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Concluding remarksConcluding remarksConcluding remarksConcluding remarks

� Process integration techniques provide a bird’s eye view on the maximum extend of water recovery.

� Always proceed from options with lower capital investment/complexity.

� Targeting ahead of design!

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ReferencesReferencesReferencesReferencesReferencesReferencesReferencesReferences� El-Halwagi, M. M., Gabriel, F. and Harell, D. (2003). Rigorous Graphical Targeting for Resource Conservation

via Material Recycle/Reuse Networks. Industrial & Engineering Chemistry Research. 42: 4319-4328.

� Foo, D. C. Y., Manan, Z. A. and Tan, Y. L. (2006b). Use Cascade Analysis to Optimize Water Networks, Chemical Engineering Progress. 102(7): 45-52 (July 2006).

� Manan, Z. A., Tan, Y. L. and Foo, D. C. Y. (2004). Targeting the Minimum Water Flowrate Using Water Cascade Analysis Technique AIChE Journal. 50(12): 3169-3183.

� Ng, D. K. S. and Foo, D. C. Y. (2006). Evolution of Water Network with Improved Source Shift Algorithm and Water Path Analysis, Industrial and Engineering Chemistry Research. 45, 8095-8104.

� Ng, D. K. S., Foo, D. C. Y. Tan, R. R. and Tan, Y. L. (2007). Ultimate Flowrate Targeting with Regeneration Placement, Chemical Engineering Research and Design, 85 (A9) 1253–1267.

� Ng, D. K. S., Foo, D. C. Y. and Tan, R. R. (2008). Extension of Targeting Procedure for ‘Ulltmate Flowrate Targeting with Regeneration Placement’ by Ng et al., Che. Eng. Res. Des. 85 (A9): 1253 – 1267. Chemical Engineering Research and Design, 86(10), 1182-1186.

� Polley, G. T. and Polley, H. L. (2000). Design Better Water Networks. Chem Eng Progress. 96(2): 47-52.

� Prakash, R. and Shenoy, U. V. (2005a). Targeting and Design of Water Networks for Fixed Flowrate and Fixed Contaminant Load Operations. Chemical Engineering Science. 60(1): 255-268.

� Prakash, R. and Shenoy, U. V. (2005b). Design and Evolution of Water Networks by Source Shifts. Chemical Engineering Science. 60(7), 2089-2093.

� Rosain, R. M. (1993). Reusing Water in CPI Plants. Chemical Engineering Progress, 89(4): 28-35.

� Smith, R. (2005). Chemical Process Design and Integration. John Wiley & Sons, New York.

� Wang, Y. P. and Smith, R. (1994). Wastewater Minimisation. Chemical Engineering Science. 49: 981-1006.

� Wang, Y. P. and Smith, R. (1995). Wastewater Minimization with Flowrate Constraints. Chemical Engineering Research and Design, Part A. 73: 889-904.

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Dominic C. Y. Foo,Dominic C. Y. Foo,Dominic C. Y. Foo,Dominic C. Y. Foo, PhD, PhD, PhD, PhD, PEngPEngPEngPEng�[email protected]