Various inputs that can be controlled to impact mixing

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    -ABHAY TANKSALI2012BB50003

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    Aphysical process which aims at reducing

    non-uniformitiesin fluids by eliminating

    gradients of concentration , temperature , and

    other properties.

    Dominant factor in deciding the performance

    or efficiency of a bioreactor.

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    FACTORS

    AFFECTING

    Impeller

    speed

    Power

    requirements

    Rheological

    properties

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    Electrical power is used to drive impellers in

    stirred tanks.

    Depends on the resistance offered by the fluid

    to rotation of the impeller.

    [Electrical power consumed]>[Mixing power]

    {depending on the efficiency}

    Energy costs for operation of stirrers in

    bioreactors is an important consideration.

    On an avg.

    10kW m3 for small vessels to

    1~2 kW m3 for large vessels

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    MIXING TIME

    Useful parameter for assessing mixing efficiency

    The mixing time tm is the time required toachieve a given degree of homogeneity starting

    from the completely segregated state. It can be measured by injecting a tracer into the

    vessel and following its concentration at a fixedpoint in the tank

    Tracers in common use include acids, bases andconcentrated salt solutions ; correspondingdetectors are pH probes and conductivity cells

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    MEASURING MIXING EFFICIENCY

    small pulse of tracer is added to fluid in a

    stirred tank already containing tracer material

    at concentration Ci.

    If circular flow, tracer concentration measured

    at some fixed point in the tank will follow a

    pattern similar to that shown in Figure

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    Concentration response after tracer is

    injected into a stirred tank

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    MEASURING MIXING EFFICIENCY

    Definition of the mixing time tm depends on

    the degree of homogeneity required

    Usually, mixing time is defined as the time

    after which the concentration of tracer differs

    from the final concentration Cf by less than

    10% of the total concentration difference

    (Cf

    Ci)

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    Effective mixing

    Intensity of turbulence is represented by the

    impellers Reynolds number.

    once Re falls below criteria, turbulence is

    damped and mixing time increases

    significantly.

    Re decreases in direct proportion to increase

    in viscosity.

    Turbulent conditions

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    Variation of mixing time with Reynolds number

    for a six-blade Rushton turbine in a baffled tank

    Here, Ni is the number of rotations per second and the

    product Ni*ti is called Dimensionless mixing time.

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    With increase in viscosity non-turbulent conditions

    and poor mixing are likely to occur..

    This can be overcomed by increasing the impeller speed

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    Increase in impeller speed

    Increases eynol s

    number

    Increases

    shear stress to

    cells

    Increases power

    consumption.

    Decreases

    mixing time

    Increases cost

    of production

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    May not be

    feasible!!

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