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Chang-Han Yun / Ph.D. National Chungbuk University November 4, 2015 (Wed) Chapter 6. Membrane Process (Pressure Driving Force)

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  • Chang-Han Yun / Ph.D.

    National Chungbuk University

    November 4, 2015 (Wed)

    Chapter 6. Membrane Process

    (Pressure Driving Force)

  • 2 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    Contents

    Contents Contents

    6.5 Other Driving Force

    6.4 Concentration Driving Force

    6.3 Pressure Driven Force

    6.2 Osmosis

    6.1 Introduction

  • 3 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.4 RO & NF

    Cellulose esters(Cellulose diacetate, Cellulose triacetate)

    Very suitable for desalination

    • High permeability towards water

    • Low solubility towards the salt

    Stability against chemicals, temperature and bacteria = very poor

    Typical operation conditions

    • pH : 5 ∼ 7

    • Temperature : < 30°C

    Biological degradation is a severe problem.

    Poor selectivity towards small organic molecules

    6.3.4.1 Membrane for RO and NF

  • 4 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.4 RO & NF

    Aromatic polyamide – composite type

    High selectivity towards salts

    Water flux is somewhat lower

    pH : 5 ∼ 9

    Main drawback : weak against free chlorine Cl2

    Hollow fiber type RO membrane

    OD < 100 μm

    Membrane thickness ≈ 20 μm ⇨ Permeation rate has decreased dramatically

    Extremely high membrane surface area = 30,000 m2/m3

    Other materials for RO (the 3rd Class of material)

    polybenzimidazoles, polybenzimidazolones, polyamidehydrazide and polyimides

    6.3.4.1 Membrane for RO and NF

  • 5 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.4 RO & NF

    Composite membranes

    Most of RO and all of NF : composite membranes

    Top- & Sub-layer : different polymer ⇨ optimized separately

    Porous sub layer

    • Criteria of sub-layer : surface porosity and pore size distribution

    • Asymmetric UF membranes are often used

    Methods for placing a thin dense layer on top of sub layer

    • dip coating

    • in-situ polymerization

    Most composite RO and NF membranes are prepared by interfacial polymerization

    6.3.4.1 Membrane for RO and NF

    • interfacial polymerization

    • plasma polymerization

  • 6 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.4 RO & NF

    ※ Interfacial polymerization

    Two very reactive bifunctional monomers (e.g. a di-acidchloride and a di-amine) or

    trifunctional monomers (e.g. trimesoylchloride) are allowed to react with each other

    at a water/organic solvent interface and a typical network structure is obtained.

    6.3.4.1 Membrane for RO and NF

    [Table 6-6] Example of monomers used for interfacial polymerization

  • 7 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.4 RO & NF

    Application of NF/RO

    Application for purification

    Salty water purifying

    • Brackish water : 1,000 ∼ 5000 ppm

    • Seawater : about 35,000 ppm

    Production of ultrapure water for the semiconductor industry

    Application for concentration

    Concentration in the food industry (fruit juice, sugar, coffee)

    Galvanic industry (concentration of waste streams)

    Dairy industry (concentration of milk prior to cheese manufacture)

    6.3.4.2 Applications

    Purification(where the permeate is the product) : Major

    Solute concentration(where the feed is the product)

  • 8 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.4 RO & NF

    NF

    NF : network structure is more open than RO

    Retention for monovalent salts(Na+, Cl-) : much low

    Retention for bivalent ions(Ca2+, CO22-) : high

    Retention for micro-solutes and low MW organics : high

    (herbicides, insecticides, pesticides, dyes, sugars etc)

    6.3.4.2 Applications

    Solute RO NF

    Monovalent ions (Na, K, CI, NO3)

    Bivalent ions (Ca, Mg, SO4, CO3)

    Bacteria and virus

    Microsolutes (Mw > 100)

    Microsolutes (Mw < 100)

    > 98%

    > 99%

    > 99%

    > 90%

    0∼99%

    < 50%

    > 90%

    < 99%

    > 50%

    0∼50%

    [Table 6-7] Comparison of retention characteristics between NF and RO

  • 9 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.4 RO & NF

    6.3.4.3 Summary of Nanofiltration(NF)

    Items Characteristics

    Membranes Composit

    Thickness Sub layer ≈ 150 μm, Top layer ≈ 1 μm

    Pore sizes < 2 nm

    Driving force Pressure(10 ∼ 25 bar)

    Separation principle Solution-diffusion

    Membrane material polyamide (Interfacial polymerization)

    Main applications

    Desalination of brackish water

    Removal of micropollutents

    Water softening

    Waste water treatment

    Retention of dyes (textile industry)

  • 10 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.4 RO & NF

    6.3.4.4 Summary of Revers Osmosis(RO)

    Items Characteristics

    Membranes Asymmetric or Composite

    Thickness Sub layer ≈ 150 μm, Top layer ≈ 1 μm

    Pore sizes < 2 nm

    Driving force Pressure : Brackish water 15 ∼ 25 bar(Sea water 40 ∼ 80 bar)

    Separation principle Solution-diffusion

    Membrane material Cellulose triacetate, Aromatic polyamide

    Polyamide and Poly(ether urea) (Interfacial polymerization)

    Main applications

    Desalination of brackish and seawater

    Production of ultrapure water (electronic industry)

    Concentration of food juice and sugars (food industry)

    Concentration of milk (dairy industry)

  • 11 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.5

    Pressure Retarded Osmosis

    (PRO)

    PRO

    Salt concentration difference(Osmotic pressure) ⇨ generate energy

    Flow through semipermeable membrane(dilute → concentrate) by osmotic pressure

    Jv = A (Δπ - ΔP) (6-36)

    E = Jv∙AP = A (Δπ - ΔP)∙ΔP (6-37)

    where E = power, Watt or J/sec

    Maximum power (E = Emax) at dE/d(ΔP) = 0 ⇨ ΔP = 0.5 Δπ

    Emax = A / (4 Δπ) (6-38)

    Emax = about 1.5 W/m2 on the basis of lab experiments

    Principle of pressure retarded osmosis.

  • 12 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.5

    Pressure Retarded Osmosis

    (PRO)

    Practical problems

    Osmosis : Concentration of concentrated solution↓ ⇨ π↓

    Salt flux : R < 100% ⇨ π↓

    Concentration polarization : major problem(See )

    Direction of Jv is opposite with Js

    cs on concentrate-side membrane surface < in bulk of concentrate

    cs on dilute-side membrane surface > in bulk of dilute π↓

    Concentration polarization

    in pressure retarded osmosis

  • 13 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.5

    Pressure Retarded Osmosis

    (PRO)

    Items Characteristics

    Membranes Asymmetric or Composite

    Thickness Sub layer ≈ 150 μm, Top layer ≈ 1 μm

    Pore sizes < 2 nm

    Driving force Concentration difference (Osmotic pressure)

    Separation principle Solution-diffusion

    Membrane material Cellulose triacetate, Aromatic polyamide

    Poly(ether urea) (Interfacial polymerization)

    Main applications Production of energy

    6.3.5.1 Summary of Retarded Osmosis(PRO)

  • 14 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.6

    Piezodialysis

    Piezodialysis

    Driving force : Pressure

    Ionic solutes permeate through membrane rather than solvent

    Operated by mosaic membranes

    Principle

    Pressure applied at one side of the membrane ⇨ generate electromotive force (ΔE)

    ΔE = -β ΔP where β = proportionality constant(Electric Osmotic Coefficient) (6-39)

    • β < 0 for anion-exchange membranes

    • β > 0 for cation-exchange membranes

    The transport of ions through a mosaic membrane during piezodialysis

  • 15 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.6

    Piezodialysis

    Structure of mosaic membranes

    Cation-exchange and anion-exchange groups separated by a neutral region

    Generation of a current loop

    Ion transport > solvent transport ⇨ salt concentration : permeate > feed

    Salt enrichment in permeate : about 2

    Major factor to increase the flux = ion-exchange capacity of the membrane

    ※ Although the basic principle has been demonstrated in the laboratory,

    it has not been employed on a commercial scale.

    Electro-neutralized by simultaneous

    passage of both ions through the membrane

    Transport of anions through

    anion-exchange region

    Transport of cations through

    cation-exchange region

  • 16 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.3 Pressure Driven Membrane Process 6.3.6

    Piezodialysis

    6.3.6.1 Summary of Piezodialysis

    Items Characteristics

    Membranes Mosaic membranes

    (cation-exchange regions adjacent to anion-exchange regions)

    Thickness ≈ few hundred μm

    Pore sizes Non-porous

    Driving force Concentration difference (Osmotic pressure)

    Separation principle Ion transport (Coulomb attraction and electro-neutrality)

    Membrane material Cation/anion-exchange membrane

    Main applications Salt enrichment

  • Chang-Han Yun / Ph.D.

    National Chungbuk University

    November 4, 2015 (Wed)

    Chapter 6. Membrane Process

    (Gas Separation)

  • 18 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    Contents

    Contents Contents

    6.5 Other Driving Force

    6.4 Concentration Driving Force

    6.3 Pressure Driven Force

    6.2 Osmosis

    6.1 Introduction

  • 19 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    Substances diffuse spontaneously from a high to a low chemical potential.

    Processes using concentration difference as the driving force

    6.4.1 Introduction

    Gas separation Driving Force

    Partial pressure difference

    or Activity difference Vapor permeation

    Pervaporation

    Dialysis

    Diffusion dialysis

    Concentration difference

    Carrier mediated processes

    Membrane contactor

    6.4 Concentration Driving Force

  • 20 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    Nonporous membrane

    No information about the permeability of a certain species

    Difference of permeability of gas between elastomeric and glassy > 105

    Glassy state

    Presence of a large free volume

    Presence of crystallites ⇨ mobility↓

    Low MW penetrant ⇨ segmental mobility (or chain mobility)↑

    Concentrations of penetrant inside the polymeric membrane↑ ⇨ chain mobility↑

    ⇨ permeability (or diffusivity)↑

    Affinity of penetrant with polymer

    Activity of penetrant in feed

    6.4.1 Introduction

    Synthetic solid membrane

    (gas separation, dialysis and pervaporation) On the basis of structure

    and functionality Liquid (with or without a carrier) as the membrane

    Large differences in segmental motion

    Determine concentration of penetrant

    inside polymeric membrane

    6.4 Concentration Driving Force

  • 21 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    In gas separation with inert gases(He, H2, N2, O2)

    No interaction between gas molecule ↔ membrane material

    Gas concentration in the membrane : very low at low feed pressures

    With liquid penetrant

    Solubility in the membrane = appreciably high ⇨ enhanced chain mobility

    High interaction between liquid ↔ membrane in dialysis ⇨ high swelling of the polymer

    ⇨ allows relatively large molecules diffuse through open membrane

    ※ Swelling of membrane = wt. of penetrant inside membrane / wt. of dry polymer

    Diffusion coefficient can vary over the range 1019 to 10-9 m2/sec.

    Swelling↑ ⇨ Mobility of the polymer chains↑

    ※ Diffusion coefficient in liquids is 10-9 m2/sec

    6.4.1 Introduction 6.4 Concentration Driving Force

  • 22 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    Swelling : very important factor in transport through nonporous membranes

    demonstrates

    D can change by up to 10 orders of magnitude.

    D of benzene in PVA at zero penetrant concentration < 10-19 m2/sec

    D of water in hydrogels > 10-9 m2/sec( ≈ self-diffusion coefficient of water)

    6.4.1 Introduction

    Diffusivity

    as f(degree of swelling in nonporous polymer)

    6.4 Concentration Driving Force

  • 23 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Viscous flow like MF ⇨ no separation

    ∵ λ of the gas molecules ≪ Pore diameter

    Pore diameter↓ ⇨ Mean free path(λ) of gas > Pore diameter ⇨ Knudsen flow

    Knudsen flow, (6-40)

    where Dk = Knudsen diffusion coefficient, is given by

    T and Mw = temperature and molecular weight, respectively

    r = pore radius

    Flux ∝ [MW]-0.5 ⇨ Separation factor(J1 / J2) ∝ [MW1 / MW2]-0.5 ⇨ low separation factors

    For high separation, cascade connection of many module ⇨ economics↓

    Commercial application

    Enrichment of uranium hexafluoride(235UF6, a very expensive material)

    Separation factor for 235UF6 from 238UF6 < 1.0064 (for ideal case)

    Plant using porous ceramic membranes operates in France (at Tricastin).

    6.4.2.1 Gas separation in porous membranes Gas separation

    Membrane : Porous or Nonporous

    Transport mechanism : Completely different

    6.4 Concentration Driving Force

  • 24 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Permeability ⇨ determine separation through nonporous membranes

    Fick's law : simplest description of gas diffusion through a nonporous structure

    (6-41)

    where J = flux through the membrane

    D = diffusion coefficient

    dc/dx = driving force (concentration gradient across the membrane)

    By integration of Eq(6-41) under steady-state conditions,

    (6-42)

    where co,i = ci in membrane on upstream side

    cℓ,i = ci in membrane on downstream side

    ℓ = thickness of the membrane

    6.4.2.2 Gas separation through nonporous membranes

    Nonporous membrane separating two gas phases.

    6.4 Concentration Driving Force

  • 25 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Henry's law

    ci = Si∙pi (6-43)

    where ci = concentration inside the membrane

    pi = partial pressure of gas outside the membrane

    Si = solubility coefficient of component i in membrane (cm3(STP)/cm3∙bar)

    ※ Henry’s law is mainly applicable to amorphous elastomeric polymers

    ※ Solubility behavior : very often much more complex below Tg (Glassy state)

    By combining Eq(6-42) with Eq(6-43),

    (6-44)

    Permeability coefficient, P = D∙S (6-45)

    (6-46)

    J ∝ (Δp across membrane) and (ℓ)-1

    Ideal selectivity (αi/j ideal) ∝ ratio of the permeability coefficients ⇨ (6-47)

    6.4 Concentration Driving Force

  • 26 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Plasticisation

    Occur at high partial pressure of permeating gas having high chemical affinity for polymer

    By plasticisation ⇨ Real separation factor ≠ Ideal separation factor

    In real, Permeability↑ ⇨ Selectivity↓ by plasticisation

    Selectivity dependency on partial pressure ratio across membrane

    For high pressure ratio (Pℓ / Po → 0) ⇨ Separation efficiency = maximum

    Pressure ratio↑ ⇨ Selectivity↑

    Schematic drawing of a gas separation process.

    6.4 Concentration Driving Force

  • 27 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Permeability coefficient (P)

    Constant : intrinsic parameter of membrane

    Unit : Barrer

    ※ l Barrer=10-10cm3(STP)∙cm/(cm2∙s∙cmHg)=0.76×10-17m3(STP)∙m/(m2∙s∙Pa)

    Interactive systems(Henry's law does not apply.)

    Permeability coefficient (P) ≠ constant = f(pressure)

    2 important parameters relating to the nature of the polymer (chemical structure)

    • Glass transition temperature (Tg)

    Glass transition temperature (Tg)

    Determines whether a polymer is in the glassy or in the rubbery state

    Segmental motion

    • Limited for an amorphous polymer in the glassy state

    • Enough thermal energy to rotate in the main chain in rubbery state

    6.4.2.3 Aspects of separation

    • Crystallinity

    6.4 Concentration Driving Force

  • 28 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    In general([Table 6-8])

    Permeability : Rubbery polymer > Glassy polymers

    (∵ Higher mobility of the chain segments)

    Selectivity : Rubbery polymer < Glassy

    Polymer P of CO2(Barrer) P of CO2 / P of CH4

    polytrimethylsilylpropyne(PTMSP)

    silicone rubber

    natural rubber

    polystyrene

    polyamide (Nylon 6)

    poly(vinyl chloride)

    polycarbonate (Lexan)

    polysulfone

    polyethyleneterephthalate (Mylar)

    cellulose acetate

    poly(ether imide) (Ultem)

    poly(ether sulfone) (Victrex)

    polyimide (Kapton)

    33100

    3200

    130

    11

    0.16

    0.16

    10.0

    4.4

    0.14

    6.0

    1.5

    3.4

    0.2

    2.0

    3.4

    4.6

    8.5

    11.2

    15.1

    26.7

    30.0

    31.6

    31.0

    45.0

    50.0

    64.0

    [Table 6-8] The permeability of CO2

    and CH4 in various polymers

    6.4 Concentration Driving Force

  • 29 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Exception([Table 6-9])

    Permeability of glassy polymers > those of elastomers

    ※ Fractional free volume of the polymer↑ ⇨ permeability↑

    [ex, polytrimethylsilylpropyne(PTMSP), polyphenyleneoxide(PPO)]

    Polymer Tg(℃) PO2(Barrer) PN2(Barrer) αideal(PO2/PN2)

    PPO

    PTMSP

    ethylcellulose

    polymethylpentene

    polypropylene

    polychloroprene

    polyethylene LD

    polyethylene HD

    210

    ≈200

    43

    29

    -10

    -73

    -73

    -23

    16.8

    10,040.0

    11.2

    37.2

    1.6

    4.0

    2.9

    0.4

    3.8

    6,745.0

    3.3

    8.9

    0.3

    1.2

    1.0

    0.14

    4.4

    1.5

    3.4

    4.2

    5.4

    3.3

    2.9

    2.9

    [Table 6-9] The permeability of O2 and N2 for some elastomers and glassy polymers

    6.4 Concentration Driving Force

  • 30 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Basic concept of gas separation

    Governed by permeability coefficient(P) = solubility(S) × diffusivity(D)

    Affinity of gas molecule with polymer↑ ⇨ Solubility↑

    Solubility of CO2 : in hydrophilic polymers > in hydrophobic polymers

    Affinity for polymer : Liquid ≫ Gas ⇨ Solubility of gas = very low(< 0.2%)

    Noble gases

    • No polymer interaction

    • Ease of condensation ⇨ determine solubility

    ※ Solubility is determined only by their ease of condensation

    • Molecule size(or Tc, Tb)↑ ⇨ condensing↑ ⇨ solubility↑

    Solubility of noble gases(Ne < Ar < Kr < Xe)

    Ne in silicone rubber = 0.04 cm3(STP)/(cm3∙atm)

    Kr in silicone rubber = 1.0 cm3(STP)/(cm3∙atm)

    6.4 Concentration Driving Force

  • 31 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Diffusivity : depend on 2 factor(Molecular size of penetrant and membrane)

    Size of the gas molecule

    Size↓ ⇨ diffusion coefficient↑

    MW : O2 > N2

    Size : O2 < N2

    Thermodynamic diffusion coefficient, (6-48)

    where f = frictional coefficient

    Relationship between Diffusion coefficient(D) ↔ Molecular size(r)

    Stokes' law, f = 6π η∙r (6-49)

    Eq(6-48) with Eq(6-49) for ideal systems (DT = D)

    ⇨ (6-50)

    ⇨ (Diffusivity) ∝ (Molecular size, r)-1

    Small differences in size ⇨ very large effect on D

    D of Ne(MW : 20 g/mol) in PMMA = 10-10 m2/sec

    D of Kr(MW : 83.8 g/mol) in PMMA ≒ 10-12 m2/sec

    Diffusion coefficient : O2 > N2

    ⇨ Permeability : O2 > N2

    Gas Molecule Diameter(Å)

    He

    Ne

    H2

    NO

    CO2

    C2H2

    Ar

    O2

    N2

    CO

    CH4

    C2H4

    C3H8

    2.6

    2.75

    2.89

    3.17

    3.3

    3.3

    3.4

    3.46

    3.64

    3.76

    3.80

    3.9

    4.3

    [Table 6-10] The kinetic diameter

    of some gas molecules.

    6.4 Concentration Driving Force

  • 32 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Relationship between D ↔ Nature of polymer

    ∙ D of Kr in polydimethylsiloxane ≒ 10-9 m2/sec

    ∙ D of Kr in PVA ≒ 10-13 m2/sec

    Separation depend on S/D, not S or D

    Cellulose acetate or other ester-containing polymers

    Solubility and solubility ratio of CO2 = especially high ⇨ high selectivity(P ratio)

    Polymer DCO2/DCH4 SCO2/SCH4 PCO2/PCH4

    Cellulose acetate

    Polyimide(Kapton)

    Polycarbonate

    Polysulfone

    4.2

    15.4

    6.8

    8.9

    7.3

    4.1

    3.6

    3.2

    30.8

    63.6

    24.4

    28.3

    [Table 6-11] Ratios of the diffusivity(D), solubility(S) and permeability(P)

    of CO2 and CH4 in various polymers

    6.4 Concentration Driving Force

  • 33 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Diffusivity or changes in diffusivity : much stronger effect on the selectivity

    Polyimide(Kapton) : glassy polymer with a very rigid structure

    Diffusivity ratio ⇨ determines selectivity

    Very definite pore structure ⇨ exclude larger molecule

    Diffusion effect > Specific interaction effect

    ⇨ Selective diffusion of O2 to N2

    ⇨ Selectivity for permanent gas

    : glassy polymers > elastomers

    Component Permeability

    (Barrer)

    Nitrogen

    Oxygen

    Methane

    Carbon dioxide

    Ethanol

    Methylene chloride

    Carbon tetrachloride

    1,2-Dichloroethane

    1,1,1-Trichloroethane

    Chloroform

    Trichloroethylene

    Toluene

    280

    600

    940

    3200

    53,000

    193,000

    290,000

    248,000

    247,000

    329,000

    740,000

    1,106,000

    [Table 6-12] Permeability of various gases and vapors

    in polydimethylsiloxane at an activity of a = 1 (p = po).

    6.4 Concentration Driving Force

  • 34 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Permeability of a gas = f(polymer) strongly

    Organic vapors

    Difference between Gas ↔ Vapor : Condensable under standard condition(O°C and 1 bar)

    Size : Vapor ≫ Permanent gas ⇨ D : Vapor ≪ Permanent gas

    But Permeability : Vapor ≫ permanent gas

    ∵ P = Diffusivity × Solubility ⇨ Solubility : Vapor ≫ permanent gas ⇨ High permeability

    ∵ Vapor molecules ⇨ plasticising action on the polymer

    (make chains more flexible ⇨ free volume↑considerably ⇨ solubility↑)

    Exponential relationship from the free volume theory

    Empirical relationship : D = Do exp(ϕ∙γ) (6-51)

    where Do = diffusion coefficient at zero penetrant concentration

    γ = constant related to plasticising effect of penetrant on polymer

    ϕ = volume fraction of the penetrant in the membrane

    Concentration ↔ diffusion coefficient = not the same for all polymers

    6.4 Concentration Driving Force

  • 35 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Penetrant size

    Penetrant shape

    Membrane

    Penetrant size↑ ⇨ Do↓

    Do : methanol in PVA > about 3 orders of magnitude for n-propanol

    For a given penetrant, chain flexibility↑ ⇨ Do↑ ⇨ Do : glassy polymer ≪ elastomer

    Do of benzene : in PVA ×10 < in polydimethylsiloxane (silicone rubber)

    ※ Exception : poly(dimethylphenylene oxide) & polytrimethylsilylpropyne :

    very high diffusivities ⇨ very high permeability

    Solubility prediction

    For permanent gases : use Henry's law

    For vapor : use Flory-Huggins thermodynamics(as for liquids)

    Determine Do

    6.4 Concentration Driving Force

  • 36 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Joule-Thomson effect

    Very peculiar phenomenon in gas separation

    Occur if a gas is expanded across a membrane(as in the case of a gas permeation)

    Adiabatic expansion of a real gas(not ideal gas) ⇨ T↓ ⇨ P↓ & Selectivity↑

    He : Adiabatic expansion ⇨ T↑ (∵ Joule-Thomson coefficient < 0)

    Gas expansion from the high pressure side (subscript 1) to the low pressure side (subscript 2)

    at adiabatic condition(no heat transfer, q = 0)

    Internal energy change, ΔU = U2-U1 =-P2V2 + P1V1 (6-52)

    or U1 + P1V1 = U2 + P2V2 (6-53)

    or H1 = H2 (isenthalpic) (6-54)

    6.4.2.4 Joule-Thomson effect

    Schematic representation of

    the principle of the Joule-Thompson effect.

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    6.4.2 Gas Separation

    Joule-Thompson coefficient, μJT = (∂T/∂P)H

    H = f(T, P) ⇨ (6-55)

    Furthermore

    (6-56) and (6-57)

    For the enthalpy change of a reversible process,

    dH = V dP + T dS (6-58)

    differentiation with respect to P at constant temperature

    (6-59)

    From the Maxwell’s relation,

    (6-60)

    Eq(6-56), (6-59) and (6-60) → Eq(6-57),

    (6-61)

    Gas μJT (K/bar)

    He

    CO

    H2

    O2

    N2

    CH4

    CO2

    -0.06

    0.01

    0.03

    0.30

    0.25

    0.70

    1.11

    [Table 6-13] Joule-Thomson coefficient

    of various gases at 1 bar and 298 K

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  • 38 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Variation of Permeability(P) of gas or vapor

    [Table 6-8] ⇨ Permeability variation of a given gas by > 106 in various polymer

    [Table 6-11] ⇨ Permeability variation of various gases and vapors : > 106 for a given polymer

    『Meaning』Many materials can be used as a membrane depending on the application.

    Gas separation : based on permeability and selectivity(ratio of the permeability)

    Thin dense top-layer : hydrodynamic resistance = large

    Permeability ratio : usually large([Table 6-11])

    Choose highly permeable material(such as silicone rubber or natural rubber)

    Elastomers : low selectivity, Glassy polymers : much lower permeability

    Permeation rate = P/ℓ ∝ (membrane thickness)-1

    Minimize effective membrane thickness

    Two types of membranes for gas separation :

    • Asymmetric membranes

    6.4.2.5 Membranes for gas separation

    • Composite membranes

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  • 39 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Immersion precipitation technique used to manufacture

    asymmetric membranes

    sub-layer in composite membrane

    Top-layer manufacturing technique

    dip-coating

    interfacial polymerization

    plasma polymerization

    Requirement for top-layer : absolutely defect-free

    Requirement for porous support layer

    Provide mechanical support for the top-layer

    Open porous network to minimize resistance to mass transfer

    No macro-voids (weak spots for high-pressure applications)

    Schematic representation of an asymmetric membrane

    and the corresponding electrical circuit analogue.

    6.4 Concentration Driving Force

  • 40 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Defect-free thin top-layer from a glassy polymer : Very difficult

    Method to make a defect-free asymmetric membrane

    Dual bath method

    Evaporation method

    Deposit a coating of a highly permeable polymer upon

    an asymmetric membrane containing some defects.

    ⇨ Coating surface pores ⇨ Defects free membrane

    Flux of gas i, (6-62)

    Overall permeability(P), (6-63)

    where Rtot = total membrane resistance

    For the uncoated membrane (see [Figure 6-18])

    Rtot,un = (R2-1 + R3

    -1 ) -1 + R4 -1 (6-64)

    For the coated layer (see [Figure 6-19])

    Rtot,c = R1 -1 + (R2

    -1 + R3 -1 ) -1 + R4 (6-65)

    Schematics of a coated

    Asymmetric membrane and corresponding

    electrical circuit analogue.

    6.4 Concentration Driving Force

  • 41 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Resistance of sub-layer (R4) = negligible

    Flux of component i across the uncoated (Jun,i)

    (6-66)

    Flux of component i across the coated membranes (Jc,i)

    (6-67)

    where ℓ1 = thickness of the coating layer

    ℓ2 = thickness of the top-layer in the sub-structure

    ε = represents the surface porosity

    Selectivity and flux as a function of the surface

    porosity for coated and uncoated membranes

    on the basis of the resistance model.

    6.4 Concentration Driving Force

  • 42 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    [Figure 6-20]

    J and αCO2/CH4 vs. Surface porosity for the uncoated and coated membranes

    Support membrane : polysulfone

    Coating layer : silicone rubber (data given in [Table 6-8])

    Top layer thickness of 1 μm (ℓ1 = ℓ2 = 1 μm).

    ⇨ By coating with a very permeable low-selective polymer

    • Very effective in obtaining a defect-free layer

    Uncoated membrane : high defect ⇨ selectivity↓

    Coated membranes :

    No decrease in selectivity up to 10-4 of porosity

    No change in permeability up to 10-4 of porosity No defect

    6.4 Concentration Driving Force

  • 43 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    Composite membrane

    In general, transport through the thin top-layer : rate-determining step

    Plugging of defects with a high permeable polymer

    ⇨ Special type of composite membrane

    ∵ Support layer(Sub-layer) determines the separation performance

    Top-layer material penetrated into sub-layer(pore penetration)

    Overall resistance(effective thickness)↑

    Glassy top-layers supported by glassy sub-layer(supports)

    Not preferable

    Double composite membrane

    Highly permeable third layer(e.g., polydimethylsiloxane) is used between the sub-layer

    and top-layer ⇨ Intermediate layer or 'gutter'.

    Surface of sub-layer = very highly porous

    (difficult to deposit a thin selective coating directly)

    Top-layer = glassy polymer(difficult to obtain defect-free)

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  • 44 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    ※ Balance between permeability ↔ selectivity

    High permeable materials are used if high selectivity are not required

    Production of O2 enriched air

    • medical applications

    • combustion processes

    • sterile air for aerobic fermentation processes

    Separation of organic vapors from non-condensable gases

    • High selectivity with highly permeable materials

    • Hydrophobic elastomeric polymer : Permeability of N2 and CH4 ≪ of any organic vapor

    If a moderate selectivity is required

    Use Low permeable materials (glassy polymers)

    1) CO2/CH4

    6.4.2.6 Applications

    6.4.2 Gas Separation

    • Purification of CH4 from landfill drainage gas

    • Purification of CH4 from natural gas

    • Recovery of CO2 in enhanced oil recovery

    6.4 Concentration Driving Force

  • 45 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    2) H2 or He from other gases

    • H2 or He : relatively small molecular sizes

    • High selectivity ratios in glassy polymers

    • Recovery of H2 from purge gas in NH3 synthesis, petroleum refineries and methanol synthesis

    3) H2S/CH4

    • Separate H2S(very toxic, highly corrosive gas) in natural gas below 0.2%

    4) O2/N2 : (N2 enriched air, 95 ∼ 99.9%)

    • Inert gas in the blanketing of fuel tanks, and in storage of food and agricultural products

    5) H2O from gases

    • Dehydration of natural gas, air conditioning, and drying of compressed air

    6) Acid gas(SO2, CO2 and NOx) from smoke or flue gas

    • Relatively low concentrations at atmospheric pressures

    • not very suitable for pressure driven operations (low driving force)

    • prefer to membrane contactor, carrier mediated processes and membrane reactors

    6.4.2 Gas Separation 6.4 Concentration Driving Force

  • 46 Chapter 6. Membrane Process(Pressure Driving Force) Chungbuk University

    6.4.2 Gas Separation

    6.4.2.7 Summary of gas separation

    Items Characteristics

    Membranes Asymmetric or Composite membranes with an elastomeric or glassy

    polymeric top layer

    Thickness ≈ 0.1 to few μm(top layer)

    Pore sizes non-porous(or porous < 1 μm)

    Driving force Pressure, upstream to 100 bar or vacuum downstream

    Separation principle Solution-diffusion(non-porous membrane)

    Knudsen flow(porous membrane)

    Membrane material Elastomer : polydimethylsiloxane, polymethylpentene

    Glassy polymer : polyimide, polysulfone

    Applications

    • H2 or He recovery

    • CH4/CO2

    • O2/N2

    • Organic vapors from air

    • Dehydration (compressed air, natural gas, air conditioning)

    • Acid gases from flue gas

    6.4 Concentration Driving Force