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    Colloids and Fine Particles (Introduction)Example : Removal colloidal particle

    from raw water

    Solids are present in water in three main forms:

    suspended particles, colloids and dissolved molecules.

    Suspended particles, such as sand, vegetable matter

    and silts, range in size from very large particles down to

    particles with a typical dimension of 10 m.

    Colloids are very fine particles, typically ranging from 10 nm to

    10 m.

    Dissolved molecules are present as individual

    molecules or as ions.

    There are two types of colloids: hydrophilic colloids and hydrophobic colloids.

    Hydrophobic colloids, including clay and non-hydrated metal oxides,

    are unstable. The colloids are easily destabilized.

    Hydrophilic colloids like soap are stable. When these colloids are mixed with

    water, they form colloidal solutions that are not easily destabilized. Most

    suspended solids smaller than 0.1 mm found in water carry negative

    electrostatic charges.

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    Since the particles have similar negative electrical charges

    and electrical forces to keep the individual particles separate,the colloids stay in suspension as small particles.

    The magnitude of the zeta potential (Zp) is usually

    used to indicate colloidal particle stability. The higher the

    zeta potential, the greater are the repulsion forces between

    the colloidal particles and, therefore, the more stable is the

    colloidal suspension. A high Zp represents strong forces of

    separation (via electrostatic repulsion) and a stable system,

    i.e. particles tend to suspend. Low Zp indicates relativelyunstable systems, i.e. Particles tend to aggregate.

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    To remove colloids, small particles have to be destabilized first and then

    they will form larger and heavier flocks which can be removed by

    conventional physical treatment. This process can be described by

    clarification mechanisms, that includes: coagulation, flocculation andsedimentation.

    Coagulation is the process of decreasing or neutralizing the negative

    charge on suspended particles or zeta potential. This allows the van der

    Waals force of attraction to encourage initial aggregation of colloidaland fine suspended materials to form microflock. Rapid, high energy

    mixing is necessary to ensure the coagulant is fully mixed into the

    process flow to maximize its effectiveness. The coagulation process

    occurs very quickly, in a matter of fractions of a second.

    Flocculation is the process of bringing together the particles to form

    large agglomerations by physically mixing or through the bridging action

    of coagulant aids, such as long chain polymer.

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    Colloids and Fine Particles

    -emergence of nanotechnology and

    microfluids

    Colloids- very fine particles between 1nm and 10 micron

    Behaviour

    dominated by surface forcerather than body force

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    Surface force

    Exhibited

    cohesive nature of fine

    particles

    High viscosity ofconcentrated suspensions

    Slow sedimentation of

    dispersed colloidal

    suspensions

    Body force vs surface foce

    Mass of fine particles and

    colloids is so small-

    magnitude of their bodyforce is less than the

    magnitude of the forces

    acting between their

    surfaces.

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    Surface Force

    Other surface foces:

    Van der waals

    Electrical double layer

    Bridging and steric force

    * Control behaviour of

    fine powders and

    colloidal suspensions

    Result from either

    attraction or repulsion

    between two particles

    Depend on- material of the

    particles

    - type of fluid- distance between the

    particles

    B

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    Brown an mot on- co o s sperse n a

    liquid

    Illustration of the random walk of a Brownian particle.

    The distance the particle has moved over a period of time is L

    Robert Brown (1827)

    Thermal energy fromenvironment causes the

    molecules of the liquid to

    vibrate.

    These vibrating

    molecules collide

    with each other

    and with the

    surface of the

    particles.

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    A kinetic model-determine the influence of key

    parameters on the average velocity of

    particles in suspension. Consider thermal

    energy of the environment is transferred to

    the particles as kinetic energy. Average

    thermal energy is 3/2kT ( k is Boltmanns

    constant =1.381 x 10-23J/K).Ignore

    drag,collision..average velocity of the particle

    can be estimated by equating the kineticenergy 1/2mv2

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    x is the particle diameter

    3kT

    m

    (Einstein, 1956)

    f: friction coefficient = FD/U

    k: Boltzmann constant = 1.381 x 10-23J/K

    Extension to 3D case:

    tL 6

    2

    2

    1

    2

    3mvkT

    Random thermal energyIgnoring drag, collision and other factors

    Increase temperature or decrease mass, increase

    Brownian motion

    Based on statistical analysis of 1-D random walk to determine root mean square

    distance traveled.

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    Surface Force

    Force between two particles(F) may be either attractiveor repulsive which dependson

    -surface to surface separationdistance (D)

    -between the particles and thepotential energy (V) at thatseparation distance

    dVF

    dD

    Therodynamics dictates

    that the pair of particles

    move to separation

    distance that results in

    the lowest energy

    configuration.

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    Surface forces

    dVF

    dD

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    Van der waals Forces-Wikipedia

    van der Waals' force(or van der Waals' interaction),named after DutchscientistJohannes Diderik van derWaals, is the sum of the attractive or repulsive forcesbetween molecules(or between parts of the samemolecule) otherthan those due to covalent bonds,thehydrogen bonds, or the electrostatic interactionof ionswith one another or with neutral molecules or chargedmolecules.[1]The term includes:

    force between two permanent dipoles(Keesom force)

    force between apermanentdipoleand a correspondinginduced dipole (Debye force)

    force between two instantaneously induced dipoles(London dispersion force).

    http://en.wikipedia.org/wiki/Netherlandshttp://en.wikipedia.org/wiki/Scientisthttp://en.wikipedia.org/wiki/Scientisthttp://en.wikipedia.org/wiki/Scientisthttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Netherlandshttp://en.wikipedia.org/wiki/Scientisthttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Moleculehttp://en.wikipedia.org/wiki/Moleculehttp://en.wikipedia.org/wiki/Covalent_bondhttp://en.wikipedia.org/wiki/Hydrogen_bondshttp://en.wikipedia.org/wiki/Electrostatic_interactionhttp://en.wikipedia.org/wiki/Electrostatic_interactionhttp://en.wikipedia.org/wiki/Covalent_bondhttp://en.wikipedia.org/wiki/Ionhttp://en.wikipedia.org/wiki/Hydrogen_bondshttp://en.wikipedia.org/wiki/Electrostatic_interactionhttp://en.wikipedia.org/wiki/Ionhttp://en.wikipedia.org/wiki/Molecular_dipole_momenthttp://en.wikipedia.org/wiki/Keesom_forcehttp://en.wikipedia.org/wiki/Debye_forcehttp://en.wikipedia.org/wiki/Molecular_dipole_momenthttp://en.wikipedia.org/wiki/Debye_forcehttp://en.wikipedia.org/wiki/London_dispersion_forcehttp://en.wikipedia.org/wiki/Molecular_dipole_momenthttp://en.wikipedia.org/wiki/London_dispersion_forcehttp://en.wikipedia.org/wiki/London_dispersion_forcehttp://en.wikipedia.org/wiki/Molecular_dipole_momenthttp://en.wikipedia.org/wiki/Debye_forcehttp://en.wikipedia.org/wiki/Molecular_dipole_momenthttp://en.wikipedia.org/wiki/Keesom_forcehttp://en.wikipedia.org/wiki/Keesom_forcehttp://en.wikipedia.org/wiki/Keesom_forcehttp://en.wikipedia.org/wiki/Molecular_dipole_momenthttp://en.wikipedia.org/wiki/Ionhttp://en.wikipedia.org/wiki/Electrostatic_interactionhttp://en.wikipedia.org/wiki/Hydrogen_bondshttp://en.wikipedia.org/wiki/Covalent_bondhttp://en.wikipedia.org/wiki/Moleculehttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Johannes_Diderik_van_der_Waalshttp://en.wikipedia.org/wiki/Scientisthttp://en.wikipedia.org/wiki/Netherlands
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    Van der waals Forces

    Refer to group of

    electrodynamics

    interactions including

    Keesom, Debye andLondon dispersion

    Dominant contribution to

    van der Waals

    interaction betweentwo particles is

    dispersion force

    Dispersion Force

    - Result of Columbic

    interactions between

    correlated fluctuatinginstantaneous dipole

    moments within the

    atom of the particles

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    Van der waals Forces

    Van der waals interaction

    can be attractive or

    repulsive depend on

    dielectric properties ofthe two particles

    Medium between the

    particles

    Hamaker constant : AA>0 interaction is attractive

    A

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    Van der Waals Forces

    A group of

    electrohydrodynamicinteractions that occur

    between the atoms in

    two different

    particles.

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    Electrical double layer forces when particles are immersed in an aqueos

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    Electrical double layer forces-when particles are immersed in an aqueossolutions-oxide particles immersed in aqueous solution.

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    Number density per unit area of neutral (M-OH), positive (M-OH2+)

    and negative (M-O-)surface sites as a function of pH

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    -13.29 [ ] (nm )c

    2

    EDL 0 0

    D

    V x e

    A measure of the counterion cloud (thus the range of the repulsion)

    is the Debye length , k-1

    Approximate EDL potential energy

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    Zeta potential of alumina particles as a function of pH and salt concentration

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    Adsorbing polymers, bridging and steric forces

    Schematic representation of (a) bridging flocculation and (b) steric repulsion

    Net interaction force DLVO Theory:

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    Net interaction force DLVO Theory:

    l f f f b h i i i d

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    Result of surface forces on behaviour in air and

    water

    I fl f i l i d f f

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    Influences of particle size and surface forces on

    solid/liquid separation by sedimentation

    22 5216

    P f

    kTt

    g x

    m

    223 18

    P f x gkT

    L t tx

    m m

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    Suspension rheology

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    Relative viscosity ( ) of hard sphere silica particle

    suspensions (black circles) and Einsteins relationship (line)

    /s lm m

    Einstein (1906), < 7% volume solids)

    Batchelor (1977), 7-15%, volume solids

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    The transition from Brownian dominated random structures to preferred flowstructures as shear rate is increased is the mechanism for the shear thinning behaviour

    of concentrated suspensions of hard sphere colloids

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    I fl f f f i fl

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    Repulsive forces

    Influences of surface forces on suspension flow

    eff

    volume of solid + excluded volume

    total volume

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    Attractive forces

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    Force versus separation distance curves for alumina particles

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    Force versus separation distance curves for oil droplets