equipment sizing_raw sugar manufacture

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    EQUIPMENT SIZING

    MILLS

    A = crushing rate of mills, TCH

    c = factor dependent on the cane preparation equipment

    n = mill speed, rev/min

    N = number of rollers in the tandem

    L = length of the rollers, m

    D = mean diameter of the rollers, m

    f = fiber%cane

    Solving for the crushing rate of mills

    Solving for number of rollers

    Values for fiber%cane, mill speed, diameter of rollers, and factor for preparatory

    plant

    (assumption) (from Hugot, 1986) (assumption)

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    Solving for the volume of limed juice

    (from BUSCO)

    Solving for the volume required of the clarifier tank

    ( )

    Solving for the area of the clarifier

    Solving for the diameter of the clarifier

    Solving for the height of the clarifier

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    ROTARY VACUUM FILTER

    Solving for the filtering area (from Hugot, 1986)

    Solving for the length

    (assumption)

    EVAPORATOR

    Assuming the following:

    Effect Brix of Entering Juice Brix of Exiting Juice

    1st

    14 27

    2n 27 45

    3r

    45 X

    4t X 65

    Total Amount of Water Evaporated:

    CJ = 364.7575 tons

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    Amount of Water Evaporated at 1

    steffect:

    Amount of Juice Entering the 2

    ndeffect:

    Amount of Water Evaporated at 2nd effect:

    Amount of Juice Entering the 3rd

    effect:

    From Hugot (1986), Table 3.4

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    Vapor per unit steam Evaporation Coefficient

    Steam Supplied 1 --

    1st

    effect 0.923 37

    2n effect 0.972 35

    3r effect 1.047 30 (ave)

    4t

    effect 1.162 30 (ave)

    Let

    Calculating P1 and P2,

    Solving for x,

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    Thus,

    Calculating for the Heating Surfaces,

    Calculating for Evaporator Dimensions,

    From Hugot (1986),

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    With this, we can get the Optimal Dimensions in each effect.

    ParameterOptimal Dimensions

    1st vessel 2nd vessel 3rd vessel 4th vesselTube Length (m) 4 3.5 3 2.5

    Tube Diameter (mm) 35 38 44.43 50

    Tube cross area (m2) 0.000962 0.001134 0.00155 0.001963

    Surface Area (m2) 0.4398 0.4178 0.4187 0.3927

    Number of tubes 415.0791 135.0147 117.8809 125.6987

    Vessel Length (m) 12 10.5 9 7.5

    pitch (m) 0.04725 0.0513 0.05998 0.0675

    total tube cross area (m2) 0.3994 0.1531 0.1828 0.2468

    collective diameter (m) 0.7131 0.4415 0.4824 0.5606

    diameter of center well 0.2139 0.1325 0.1447 0.1682

    diameter of vessel (m) 0.8557 0.5299 0.5789 0.6727

    **Where:

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    Assume that Center Well Diameter is 30 % that of the Collective Tube Diameter

    According to Hugot (1986), the Center Well Diameter is equal to

    of the VesselDiameter

    VACUUM PANS

    Vacuum pans (Batch Pan A)

    Solving for mass of vacuum pan A inlet

    Solving for volume of vacuum pan A inlet

    (from BUSCO)

    Solving for volume required of vacuum pan A

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    ( )

    Solving for heating surface area

    (for tube length 1000mm)

    Solving for level of syrup in the pan (from Hugot)

    Solving for the diameter of vacuum pan A

    Solving for the height

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    Vacuum pans (Batch Pan B)

    Solving for mass of vacuum pan B inlet

    Solving for volume of vacuum pan B inlet

    (from BUSCO)

    Solving for volume required of vacuum pan B

    ( )

    Solving for heating surface area

    (for tube length 1000mm)

    Solving for level of syrup in the pan (from Hugot, 1986)

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    Solving for the diameter of vacuum pan B

    Solving for the height

    Vacuum pans (Batch Pan C)

    Solving for mass of vacuum pan C inlet

    Solving for volume of vacuum pan C inlet

    (from BUSCO)

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    Solving for volume required of vacuum pan C

    (

    )

    Solving for heating surface area

    (for tube length 1000mm)

    Solving for level of syrup in the pan (from Hugot, 1986)

    Solving for the diameter of vacuum pan C

    Solving for the height

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    CENTRIFUGAL

    Centrifugal A

    Solving for the volume of A-massecuite

    Solving for average centrifugal A capacity

    Solving for number of units in the centrifugal

    Centrifugal B

    Solving for the volume of B-massecuite

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    Solving for average centrifugal B capacity

    Solving for number of units in the centrifugal

    STORAGE TANK

    Mixed Juice Tank

    Solving for the volume of the mixed juice

    (from BUSCO)

    Solving for the required volume of the tank

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    (from BUSCO manual) ( )

    Solving for the height of the juice

    (assumption)

    Solving for the height of the tank

    Assume that 80% of the height of the mixed juice tank is the height of the juice

    Milk of Lime Tank

    Solving for the volume of the milk of lime

    (from BUSCO)

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    Solving for the volume required of the tank

    (from BUSCO)

    ( )

    Solving for the height of the milk of lime

    (assumption)

    Solving for the height of the tankAssume that 80% of the height of the milk of lime tank is the height of the milk of lime

    Limed Juice Tank

    Solving for the weight of the limed juice

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    Solving for the volume of the limed juice (from BUSCO)

    Solving for the volume required of the tank (from BUSCO)

    ( )

    Solving for the height of the limed juice (assumption)

    Solving for the height of the tankAssume that 80% of the height of the tank is the height of the limed juice

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    Clarified Juice Tank

    Solving for the volume of the clarified juice

    (from BUSCO)

    Solving for the volume required of the tank

    (from BUSCO) ( )

    Solving for the height of the clarified juice (assumption)

    Solving for the height of the tankAssume that 80% of the height of the tank is the height of the clarified juice

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    Syrup Tank

    Solving for the volume of the syrup

    (from BUSCO)

    Solving for the volume required of the tank (from BUSCO)

    (

    )

    Solving for the height of the syrup (assumption)

    Solving for the height of the tank

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    Assume that 80% of the height of the tank is the height of the syrup

    Magma Tank

    Solving for the volume of magma

    (from BUSCO)

    Solving for the volume required of the tank

    (from BUSCO) ()

    Solving for the height of magma

    (assumption)

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    Solving for the height of the tankAssume that 80% of the height of the tank is the height of the magma

    B-Molasses Tank

    Solving for the volume of the B-molasses

    (from BUSCO)

    Solving for the volume required of the tank (from BUSCO)

    Solving for the height of B-molasses

    (assumption)

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    Solving for the height of the tank

    Assume that 80% of the height of the tank is the height of B-molasses

    A-molasses Tank

    Solving for the volume of A-molasses (from BUSCO)

    Solving for the volume required of the tank (from BUSCO)

    Solving for the height of A-molasses (assumption)

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    Solving for the height of the tank

    Assume that 80% of the height of the tank is the height of A-molasses

    Final Molasses Tank

    Solving for the volume of final molasses (from BUSCO)

    Solving for the volume required of the tank (2 tanks)

    (from BUSCO) ( )

    Solving for the height of the final molasses

    (assumption)

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    Solving for the height of the tank

    Assume that 80% of the height of the tank is the height of the molasses