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Water Environment Water Environment - - Membrane Technology Lab., Membrane Technology Lab., Seoul National University Seoul National University Membrane Biofouling Director and Prof. Chung-Hak LEE, Institute of Environment Protection and Safety Water Environment – Membrane Technology Lab. School of Chemical Engineering, Seoul National University, KOREA

Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

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Page 1: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Membrane Biofouling

Director and Prof. Chung-Hak LEE,

Institute of Environment Protection and SafetyWater Environment – Membrane Technology Lab.School of Chemical Engineering,

Seoul National University, KOREA

Page 2: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Application of Membrane Processes in Water EnvironmentApplication of Membrane Processes in Water Environment

Hydraulics Mol. Biol. Sur. Chem.Nano Particle

난배양성 미샘물모니터링 Biofilm CFD Homo. Catal.

Building

House

Recreation

Industrial water

Groundwater

Space station Airplane

Fusion Tech

Stream water

Page 3: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

MBR : Worldwide Buisiness

~ thousands of installations of MBRs in the World

Vivendi (France), Memcore (USA)Zenon (Canada), Mitsubishi, Kuboda (Japan), etc..

~ 750 MBRs in Korea since last 6 years

Page 4: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Commercial MBR plants in Korea *2003(2002)

CROSSFLOWCROSSFLOW

FILTRATIONFILTRATION

200(200(--))13(13)13(13)19961996PSFPSF(30,000Da)(30,000Da)--ZENIX ENG.ZENIX ENG.

TUBULAR TUBULAR MEMBRANEMEMBRANE

RUSSIARUSSIA

734(559)734(559)TOTALTOTAL

2,000(2,000)2,000(2,000)50(50)50(50)19951995PESPES(40,000Da)(40,000Da)

BIOSUFBIOSUFAQUATECHAQUATECHMEMBRATEKMEMBRATEK(SOUTH AFRICA)(SOUTH AFRICA)

350(250)350(250)20(2)20(2)20022002CPVCCPVC(0.25 )(0.25 )--PUREPURE

ENVIENVI--TECHTECH

PUREPUREENVIENVI--TECHTECH

(KOREA)(KOREA)

4,000(900)4,000(900)68(67)68(67)19991999PolyolefinPolyolefin(0.4)(0.4)NIXNIX--MBRMBRZENIX ENG & JIN ZENIX ENG & JIN

WOO ENV.WOO ENV.

PLATEPLATEMEMBRANEMEMBRANE

YUASAYUASA(JAPAN)(JAPAN)

--101020022002PVDFPVDF(0.1(0.1--0.4)0.4)--RAPAHRAPAH

TECHTECH天津膜天社天津膜天社

((CHINA)CHINA)

--10(10)10(10)19981998PSFPSF(0.1)(0.1)KIMAS KIMAS ⅠⅠ,,ⅡⅡKOLONKOLON

SKC,SKC,E.N.E.E.N.E.

(KOREA)(KOREA)

600(225)600(225)150(100)150(100)20022002PE PE (0.4)(0.4)--KMSKMSKMSKMS

(KOREA)(KOREA)

1,000(300)1,000(300)10(7)10(7)20002000PVDFPVDF(0.035)(0.035)

ZENOGEMZENOGEMSAESAE--HANHANZENONZENON(CANADA)(CANADA)

DEADDEAD--ENDENDFILTRATIONFILTRATION

4,000(1,400)4,000(1,400)403(300)403(300)19971997PEPE(0.4)(0.4)

SMAS & HANTSMAS & HANTKEC &KEC &HECHEC

HOLLOWHOLLOWFIBERFIBER

MEMBRANEMEMBRANE

MRCMRC(JAPAN)(JAPAN)

FitrationFitration ModeModeHighest Highest capacitycapacity

(M(M33/d)/d)Number of Number of InstallationInstallation

Starting Starting YearYear

MembraneMembraneMaterialMaterial

(PORE SIZE, (PORE SIZE, ㎛㎛ ))Trade markTrade markCompanyCompanyModule typeModule typeMembraneMembrane

ManufacturerManufacturer

Page 5: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Membranes used for domestic MBR processes

CrossflowCrossflow/ SubmergedSubmerged

In-OutOut-InOut-In

UFMFMF

TubularPlateHollow fiber

Page 6: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Factors Affecting Membrane Performance

Page 7: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Biofouling

: Membranes in contact with the broth of activated sludge reactor will be colonized within short time by microorganisms, leading to the formation of a composite layer known as biofilm.

: Biofouling has restricted the widespread application of MBR,because i) it limits the maximum flux obtainable,

ii) it leads to substantial cleaning requirements, iii) it shortens membrane life time

Page 8: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Development of Biofilm Community

Advances in Microbial Ecology, 1995

J.R.Lawrence, D.R. Korber, G.M. Wolffardt, D.E Caldwell

Page 9: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Scanning electron micrograph (SEM) of an early bacterial biofilm on the surface of a celluloseacetate (CA) reverse osmosis (RO) membrane.

In this case the RO membrane was used to demineralize pretreated municipal wastewater at Water Factory 21 in Orange County, California.Note that the microcolonies appear to have gained foothold in low depressions (imperfections) in the membrane surface where lower hydrodynamicshear forces might be expected. Localized regions of reduced shear allows more time forbacteria to undergo irreversible attachment.

Page 10: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Scanning electron micrographs (SEMs) of individual cells and microcolonies growing on the permeate (product water) surfaces of polyester Texlon fibers of cellulose acetate (CA) reverse osmosis (RO) membranes. The membranes were fed with a pretreated municipal wastewater at Water Factory 21 in Orange County, California. Note the copius production of extracellular polymeric substances (EPS) by the attached bacteria,especially those cells associated with the larger microcolonies. Such EPS mediates early cell attachment and physically stabilizes and protects the biofilm.

Page 11: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

MBR for advanced wasterwater treatment

Side Stream type

Submerged type

Page 12: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

a) Traditional wastewater treatment

(전통적인 생물학적 처리공정)

b) External crossflow and side stream

(외부 십자흐름 분리형)

c) Internal submerged (내부 침지형)

d) External submerged

(분리 침지형)

Page 13: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Models for predicting membrane performance (Flux)

1) Filtration Model

2) Resistance in Series Model

3) Film theory Model

Page 14: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Filtration Models

- If the solute is thought of as a ‘cake’ of deposited particles,

- the cake (gel, deposit, etc) resistance is obtained from filtration theory.

)2(//

)1()(

−⋅=⋅=

−⋅+

∆=

msmbc

cm

AmAVCRRRPJ

ααη

Rc : solute resistance (1/m)Rm : membrane resistance (1/m)V : cumulative solvent volume (m3)Cb : bulk solute concentration ( kg/m3)Am : membrane area (m2)ms : mass of solute (kg)α : specific resistance (m/kg)

Page 15: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

For unstirred conditions Rc grows and combining equation (1) with (2) gives,

)(2

/

2

,)4(.int,tan

)4(

)3.(

)3()/(

1)(

2

2

2

0 020

equationfiltrationknownwellAP

CVAP

RVt

APCVV

APRt

giveseqnofegrationpressuretconsAt

dVAP

VCdVAP

Rdt

eqnfrom

AVCRP

dtdV

AtJ

m

b

m

m

m

b

m

m

V V

m

b

m

mt

mbmm

−⋅∆

⋅⋅+

⋅∆⋅

=∴

⋅∆⋅⋅

+⋅⋅∆⋅

=

−⋅⋅∆

⋅⋅+⋅

⋅∆⋅

=

−⋅⋅+

∆==

∫ ∫∫

ηαη

ηαη

ηαη

ηα

Page 16: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

If Rm is negligible,

)5(2 2

2 −⋅⋅⋅

⋅∆⋅= t

CAP

Vb

m

ηα

Which predicts that filtrate accumulates according to t1/2

Page 17: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Determination of gel layer thickness

From the filtration model, it is possible to estimate the magnitude of the polarized layer (δs) in stirred ultrafiltration.

α : determined by unstirred experiment.J,Rm : measurement by experiment.From eqn. (1),(2) ms/Am is obtained.ε : obtained from Cg

The effective thickness of the polarized solute layer (gel layer) ;

)7()1(

−⋅−

=Sm

SS A

mρε

δ

Page 18: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Experimental determination of α

22/

m

b

m

m

APCV

APRVt

⋅∆⋅⋅

+⋅∆⋅

=ηαη

t/V

V

22 m

b

APCslope

⋅∆⋅⋅⋅

=ηα

From a plot of t/v vs V, α is obtained experimentally by the slope.

Page 19: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Properties of α

α properties are given by the Carman-Kozeny relationship:

32

)1(180ερεα

⋅⋅−

=SS d

α : specific resistance of biofilm

ε : Porosityρ : density (floc density)ds : size (floc diameter)

Page 20: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Theoretical determination of α

)2(

,

)1()(

−⋅

∆=

>>

−+⋅

∆=

C

mC

Cm

RPJ

RRifRR

PJ

µ

µ

Page 21: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Theoretical determination of α

from Carman-Kozeny Equation,

)3()1(3

22

−⋅⋅−⋅⋅

=∆

εεµ

δvSKP

C

∆P : pressure drop (Pa)δC : thickness of cake (m) ν : superficial velocity (m/sec)ε : porosity of filter media (dimensionless) µ : viscosity of fluid (Pa⋅sec)K : Kozeny-Carman constant ( ≅ 5)(dimensionless)S : specific surface (area/volume) of particle (1/m)d : particle diameter (m)

Page 22: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

)4(/66/3

2

−=⋅

⋅= d

ddS

ππIf the particle is spherical,

dS

⋅Ψ=

6If the particle is non-spherical,

6/Ψ : shape factorΨ= 1 for spherical particle.Ψ : sphericity (dimensionless)

= Surface area of equivalent-volume sphereTrue surface area

Page 23: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

From eqn. (3)

22

3

)1( SKPvC ⋅−⋅⋅

∆=

εµε

δ

22

3

)/6()1(5 dPvC ⋅−⋅

∆=

εµε

δ

)5()1(180 2

32

−−⋅

⋅∆=

εµε

δdPv

C

Page 24: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

)6()1(180

1

2

32

−−⋅

⋅∆=

==

εµε

δdPJ

vdtdQ

AJ

C

m Q : volume of flow (m3/sec)Am : membrane area (m2)

From eq. (2) and (6)

)7()1(180

32

2

−⋅

−⋅=

εεδ

dR C

C

Page 25: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

)8(/ −⋅= mSC AmR α

α : specific cake resistance (m/kg)mS : mass of particle deposited (kg)ρS : particle density excluding water (kg/m3)

)9()1( −⋅−⋅⋅= SmCS Am ρεδ

from eqn. (7), (8) & (9)

)10()1(18032 −

⋅⋅−⋅

=ερεα

dS

Page 26: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

- The effect of pressure on α is frequently expressed by the relationship.

α0 : constants : compressibility factor

sP∆⋅= 0αα

- For compressible solids, typical values of s = 0.2~0.7 (Fig. 2)

∆Pg : pressure drop across the deposited solute

JRPRR

RPP m

gm

gg ⋅⋅−∆=

+∆=∆ η

Page 27: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Fig. 2. Specific resistance vs Pressure

Page 28: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Carman-Kozeny Equation

Hydraulic permeability(Ph)

Pd

hp=

⋅⋅ −

2 3

2180 1ε

ε( )

dp : particle diameter (m)ε: porosity of the cake layer (dimensionless)

Combined with Resistance-in-series model

Rdc

p

∝⋅ −

⋅µ ε

ε( )1 2

2 3

μ : viscosity of fluid (Pa·sec)

Page 29: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Models for predicting membrane performance (Flux)

1) Filtration Model

2) Resistance in Series Model

3) Film theory Model

Page 30: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Resistance Models

- Hagen-Poiseuille and Film Theory Model does not describe the entire pressure-flux behavior, i.e. , pressure-controlled at low pressures, pressure-independent at high pressures. Therefore ultrafiltration performance is also frequently interpreted by Resistance-in-series relationship.

1) Gel-Polarized Model.

For an ideal membrane and solute, Hagen-Poiseuille equation can be rewritten as,

η⋅∆

=mRPJ Rm : Intrinsic Membrane Resistance determined

using pure water as feed.

Page 31: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Resistance Models

With a real feed, the membrane resistance by itself may be only a small part of the total resistance and there may be a series of additional resistances.

ηη ⋅+++∆

=⋅+′

∆=

)()( BLgfmPm RRRRP

RRPJ

Rf : Fouling layer resistance (specific membrane-solute interactions, either by surface deposition or pore fouling)

RP : Resistance attributable to the polarized solute.Rg : Resistance due to gel-polarized layerRBL : Resistance of the viscous, but non-gelled boundary layer.

Page 32: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

RP = Rg+RBL

RP = ø∆PT (a function of applied pressure)- i.e. any increase in ∆PT simply increases the thickness of the gel layer,

and increase Rg.

ηφ ⋅∆+′∆

=∴)( Tm

T

PRPJ

Page 33: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Remark ;

1) At High pressure, RP >> R´mJ will become independent of ∆PT and approach the limiting value 1/ø

2) At low pressure, when polarization is less (Cw< Cg)

Rg=0, ∴J is pressure-dependent. (i.e. ‘pre=gel’ condition)

η⋅+′∆

=)( BLm

T

RRPJ

3) This model suffer from having to obtain the constants experimentally.

Page 34: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

- Unit of Rm;

η⋅∆

=mRPJ

m

mN

mm

mNJ

PR Tm /1

secsec

/

22

3

2

=⋅⋅

=⋅

∆=∴

η

Rm is useful for modeling purpose and for evaluating the effectiveness of the cleaning procedures.

Page 35: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Resistance in series Models

η⋅++∆

=)( cfm RRR

PJ

Rm : Intrinsic Membrane Resistance

Rf : Fouling layer resistance (specific membrane-solute interactions, either by surface deposition or pore fouling) Bulk Compositions

Rc : Cake layer resistance Biofilm

.

Page 36: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Models for predicting membrane performance (Flux)

1) Filtration Model

2) Resistance in Series Model

3) Film theory Model

Page 37: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

The Film-Theory Model

CW (Cg)

Cb

Page 38: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

The Film-Theory Model

i) Longitudinal mass transport within the boundary layer is assumed negligible (mass transfer within the film is one dimensional)

ii) In the steady state, the solute flux is constant throughout the film and equal to the solute flux through the membrane.

• A material balance for the solute in a different element gives the equation.

)/( dxdCDCJJCJ VVPS −=⋅=JS : solute fluxJV : solvent fluxCb : bulk solute concentrationδ : thickness of the boundary layer CP : permeate solute concentrationCw : solute concentration at the membrane surfaceD : solute diffusion coefficient

Page 39: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Boundary Condition ; C = Cb at x=0CW at x= δ

)0(ln

lnln

)ln(

)(

0

=⋅=

−−

⋅=

−−

=∴

⋅=−⋅→⋅=−

−=⋅

∫∫

Pb

wSV

Pb

PwS

Pb

PwV

Vb

wPV

P

C

C

PV

CifCCkJ

CCCCk

CCCCDJ

JCC

CCDdxJCC

dCD

CCJdxdCD

w

b

δ

δδ

D/δ = kSks : mass-transfer coefficient

Page 40: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

- If Cw → Cg

)(lnlim ModelonpolarizatiGelCC

kJb

gS ⋅=

Cg : Gel ConcentrationJlim : limiting flux

• Observed retention ; S=1-Cp/Cb , True retention ; R=1-Cp/CwThe concentration polarization ; M=Cw/Cb = 1-S+S exp(JV/ks)

So, M can be calculated from the measurement of the retention and the permeate flux, when ks is known.

Page 41: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Remark;

1) This model will be valid only in the pressure-independent region.(there is no pressure term) (Fig. 4.13)

2) Flux will be controlled by the rate at which solute is transferred backfrom the membrane surface into the bulk fluid.

3) Flux can only be improved by enhancing ks as much as possible,such as by reducing the thickness of the boundary layer (δ)

4) Cg is fixed by physicochemical properties of the feed.

Lm : permeability coefficient

Page 42: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Page 43: Institute of Environment Protection and Safety Water ... · MBR : Worldwide Buisiness ~ thousands of installations of MBRs in the World Vivendi (France), Memcore (USA) Zenon (Canada),

Water EnvironmentWater Environment--Membrane Technology Lab.,Membrane Technology Lab., Seoul National UniversitySeoul National University

Remark;

5) Jlim should be independent of membrane properties.It is determined by Cg, Cb and ks (hydrodynamic conditions)( But Fane showed that ‘gel-polarized’ behavior with identical solutions and hydrodynamics produced different Jlim values when membranes of differing permeability, Lm )

6) Feed solutions of various macrosolutes with concentration did not give zero flux.

7) If Cg is a ‘gel’ concentration, it should depend only on the nature

of the solute, but it appears to vary with system-hydrodynamics.

8) This model appears to have physical limitations although it still

remains the most convenient model from a practical point of view.

Lm : permeability coefficient

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Flux Paradox

Film theory model – for macromolecule solutions

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Film theory model – for colloidal suspensions

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Flux Paradox

1) For macromolecular solutions, the agreement between theoretical and experimental ultrafiltration rates is within 15~30%.

2) For colloidal suspensions, experimental flux values are often one to twoorders of magnitude higher than those indicated by the Lévéque and Dittus-Boelter relationships. But the reason is not clear.

3) In colloidal suspensions, the diffusion coefficient calculated from the ultrafiltrate flux using the Lévéque and Dittus-Boelter equations is generallyfrom one to three orders of magnitude higher than the theoretical Stokes-Einstein diffusivity.

4) Minor adjustments in molecular parameters such as diffusivity (D), kinematicviscosity (ν), or gel concentration (Cg) are incapable of resolving order of magnitude discrepancies.

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5) Back-diffusive transport of colloidal particles away from the membranesurface into the bulk stream (D· ∂C/∂x) is substantially augmented overthat predicted by the Lévéque and Dittus-Boelter relationships.

6) For colloidal suspensions, mass transfer from the membrane into the bulk stream is driven by some force other than the “concentration gradient”.

M.C. Porter’s opinion (1972) : Tubular Pinch Effect is responsible for this augmented mass transfer.

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Tubular Pinch Effect

• Segré and Silberberg : the first to publish the observations of the tubularpinch effect. (As the particles were flowing through a tube, the particles migrated away both from the tube wall and the tube axis, reaching equilibrium at an eccentric radial position.)

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Forces acting on a suspended particle

Axial velocityprofile

Semipermeable membrane

J JJ

Permeationdrag

van der Waalsattraction

Sedimentation

Axial drag

Charge repulsion

Inertial lift Diffusion

Drag torque

Shear induceddiffusion

Fig.Ⅳ-1. Forces and torques acting on a charged, spherical particle suspended in a viscous fluid undergoing laminar flow in the proximity of a flat porous surface.[modified from Wiesner(1992)]

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Fig. 7.7. Back-transport velocity based on different migration mechanisms.

Particle diameter (µm)10 -3 10 -2 10 -1 10 0 10 1 10 2

Back-transport velocity (m

/s)

10 -8

10 -7

10 -6

10 -5

10 -4

10 -3

10 -2

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Particle size ( ㎛ )

.01 .1 1 10 100

Bac

k tr

ansp

ort (

m/s

ec )

10 -7

10 -6

10 -5

10 -4

10 -3

Bac

k tr

ansp

ort (

L/m

2 /hr )

1

10

100

1000

DiffusionShear induced

Lateral migration

Interaction induced

Total

Fig. Ⅳ-4. Comparison of different models explaining a critical flux over a range of particle size.

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Remark :

1) Crossflow microfilters are occasionally operated in the turbulent regime,whereas all of the models described are restricted to laminar flow.

2) Brownian and shear-induced diffusion may be considered simultaneously by adding the diffusion coefficients, although recent simulations have shown that the diffusion coefficients are not strictly additive.

3) The models described are based on idealized suspensions of equi-sized spheres, which do not irreversibly stick to the membrane or cake surfaces but rather are free to diffuse or lift away. Further experiments and models are needed to study Brownian, shear induced diffusion, and inertial lift in real suspensions of non-spherical, deformable particles having both narrow and broad size distributions.

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4) Considerable experimental and theoretical research remains to completeour understanding of crossflow microfiltration.

For example, issue of direct membrane fouling by the attachment of particles and precipitates to the membrane pores and surface have not been adequately addressed.

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0

2

4

6

8

10

12

14

0

400

800

1200

1 10

Volumetric frequency ( %

)

L/m

2/h

r )

Particle size ( ㎛ )

Initial size

distribution

Flux

(

Fig. Ⅳ-5. Depositing particle size distribution for each flux condition. Size distribution when flux is infinite means the initial particle size distribution measured experimentally (T = 298 K, Ψ0 = 50 ㎷, A = 3.4 x 10-20J).

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Membrane Fouling: Identification and Prevention

Membrane foulingMembrane fouling

MicrobiologicalMicrobiologicalApproachApproach

HydrodynamicHydrodynamicApproachApproach

PhysiochemicalPhysiochemicalApproachApproach

Process DesignChemical additivesMembrane surface modificationHybrid system

Back transport velocityCritical flux

Quorum sensingmechanismBiofouling mechanismCell physiologyMicro-organism population dynamics

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Membrane Fouling: Identification and Prevention

Physicochemical Approach:

Examples for submerged MBR systems:• reduce flux (J)• increase membrane aeration• employ physical or chemical cleaning

– backflushing (HF only)– relaxation (ceasing permeation whilst continuing aeration)– in-situ clean (chemically enhanced backwash)– ex-situ clean (soak)

• all have cost implications

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Membrane Fouling: Identification and Prevention

Microbiological Approach

• Change of microbial characteristics :

- Floc morphology & size, - Physiological state, - EPSs(extracellular polymeric substances) content

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Overview of factors leading to membrane biofouling

Environmental Factors in MBR

• Substrates• DO• Air flow rate &

bubble size• pH• Temperature• Growth mode

(attached or suspended)

• Growth phase (log or endogenous)

• Cyclic format in SBR

• etc

MicroorganismsEPSOrganic debrisInorganic particlesIons

Size

Shape

Density

Porosity

Stickiness

Membrane

Biofouling

( )

Biofilmcomposition and

structure

Biofilmproperties( )

Bulk phase composition ( )

cR

fR

J

?

?

?

?

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Research on MBR in 21C

Quorum sensing mechanism

Biofilm formation mechanism

Cell Morphoplogy & Physiology

Microorganism population dynamics

Innovative MBR processInnovative MBR process