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    Team 1

    Michael GlasspoolSarah Wilson

    Nicole Cosgrove

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    Production Goals Produce 30,000 Metric Tonnes / year

    Operate for 350 days / year

    Produce acrolein at 0.0177 kmol / s

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    Allowable Process Conditions1,2

    Process typically run between 320 390C

    Run between atmospheric pressure and 303.975 kPa (3

    atm) Use air as an oxygen source

    Typical Conversion between 65 90 %

    Propylene flammability range 2 11.1 %

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    Process Optimization Process was optimized in a series of reports

    Modeling started off simple and became more

    complex Pressure drop calculations and energy balances were

    added over the course of the semester to accuratelymodel the system

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    Material BalanceAssume an 80 % propylene conversion Flow enough air to stay below LFL of 2%

    C3H6 + O2 C3H4O + H2O

    Species NameChemical

    Formula

    Inlet Molar

    Flow rate

    (kmol/s)

    Inlet Mass

    Flow rate

    (kg/s)

    Outlet Molar

    Flow rate

    (kmol/s)

    Outlet Mass

    Flow rate

    (kg/s)

    Propylene C3H6 0.0221 0.9308 0.0044 0.1862

    Oxygen O2 0.2433 7.7864 0.2256 7.2202

    Nitrogen N2 0.9154 25.6304 0.9154 25.6304

    Acrolein C3H4O 0.0000 0.0000 0.0177 0.9921

    Water H2O 0.0000 0.0000 0.0177 0.3188

    Total - 1.1808 34.3476 1.1808 34.3476

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    Preliminary Energy Balance This model assumes a single reaction

    Adiabatic and Isothermal cases were modeled

    Variable Isothermal Adiabatic

    Inlet Temp (K) 623.15 623.15

    Outlet Temp (K) 623.15 777.84

    Hrxn (J/s)x10-6

    -6.02 0

    Heat Duty (J/kmol reacted)x10-6

    -340 0

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    Simple Kinetic Expression3

    Rate expression was first order in propylene and half

    order in oxygen

    sec/212 catOp kgkmolCCkr

    2

    1

    336 sec/)/5.16206exp(101778.5

    mkmolkgmTk catrxtr

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    Simple Kinetics ResultsAssuming steady-state, isothermal plug flow, the

    reactor was modeled in POLYMATH and Aspen Plus

    Number of Tubes 1

    Tube Diameter (m) 10

    Tube Length (m) 759.89

    Reactor Volume (m3) 59681.87

    Catalyst Bulk Density (kg/m3

    rxtr) 1000

    Catalyst Weight (kg) 59681870

    Catalyst Void Fraction 0.4Reactor Temperature (K) 623.15

    Reactor Pressure (kPa) 101.325

    Heat Duty (W) -6014660

    Calculated Heat Duty (W) -6020000

    Residence Time (s) 395.3

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    Simple Kinetics Results

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    0.00E+00 1.00E+04 2.00E+04 3.00E+04 4.00E+04 5.00E+04 6.00E+04

    PropyleneConversion(%)

    Reactor Volume (m3)

    723 K

    713 K

    703 K

    693 K

    683 K

    673 K

    663 K

    653 K

    643 K

    633 K

    623 K

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    Major Findings The reactor volume was too large

    Increasing the temperature can drastically decrease

    the reactor volume Reactor temperature would be raised to 663.15 K, the

    maximum temperature

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    Pressure Drop CalculationA pressure drop calculation was added using the ErgunEquation, assuming an isothermal plug f low reactorwith a catalyst void fraction of 0.40 4

    To

    T

    o

    o

    bulkc

    o

    F

    F

    T

    T

    P

    P

    AdW

    dP

    GDD

    G

    ppo

    o 75.1)1(150)1(

    3

    c

    i

    Woi

    A

    MF

    Gi

    ,

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    Pressure Drop Results By increasing the inlet pressure to 3 atm, the reactor

    size was minimized and pressure drop was more easilymodeled

    Reactor Temperature (K) 663.15

    Initial Pressure (kPa) 303.975

    Catalyst Weight (kg) 2628582

    Catalyst Density (kg/m3) 6350

    1

    Reactor Volume (m3) 752.6362

    Reactor Diameter (m) 17

    Reactor Length (m) 3.31587

    Pressure Drop (kPa) 0.2965

    Percent Pressure Drop (%) 0.0975

    1 Perry, Dale L., and Sidney L. Phillips. Handbook of Inorganic Compounds. CRC Press, 1995.

    Number of Tubes 509668.7

    Number of Reactors 6

    Tubes per Reactor 84945

    Total Flow Rate (kmol/s) 1.1808

    Flow Rate per Reactor (kmol/s) 0.1968

    Total Catalyst Weight (kg) 2628582

    Catalyst per Reactor (kg) 438097

    Total Reactor Volume (m3) 752.637

    Volume per Reactor (m3) 125.4395

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    Reaction Kinetics Real reaction kinetics were found as modeled by Tan et

    al 5

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    Kinetic Development Rate constants were given at different temperatures

    Temperature (C) 350 375 390

    ka 5.28 x 10-5

    9.99 x 10-5

    1.46 x 10-4

    k12 (2.19 0.14) x 10-4 (3.86 0.37) x 10-4 (5.38 0.35) x 10-4

    k13 (2.70 0.18) x 10-4

    (2.94 0.31) x 10-4

    (2.70 0.27) x 10-4

    k14 (2.73 0.21) x 10-5

    (4.52 0.55) x 10-5

    (6.28 0.71) x 10-5

    [ka] = (mol*m3)

    1/2/(kg*s)

    [kij] = m3/(kg*s)

    1/T (1/K) ln(ka) ln(k12) ln(k14) ln(kCO2) ln(kCO)

    0.001605 -9.849 -8.426 -10.509 -8.237 -12.149

    0.001543 -9.211 -7.860 -10.004 -8.183 -11.1280.001508 -8.831 -7.528 -9.676 -8.346 -10.327

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    Kinetic Modeling Assumptions The reaction was assumed to take place in a steady

    state, isothermal plug flow reactor

    The catalyst void fraction was assumed to be 0.45 witha bulk density of 1565.5 kg/m3 6

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    Kinetic Modeling Results The new kinetics reduced the volume necessary to

    produce an 80 % conversion

    This allowed the reaction to take place in only onereactor

    The best acrolein selectivity was found at the higherend of the temperature range (390C)

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    Molar Flow Rate throughout

    Reactor

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    Acrolein Selectivity

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    Incorporation of an Energy BalanceAn energy balance was added to account for

    temperature changes throughout the reactor

    Molten salt (Ua = 227 W/m2-K) was used as a coolantto prevent a runaway reactor temperature7

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    Energy Balance Assumptions The flow rate of coolant was kept high enough to

    maintain a constant coolant temperature of 658.15 K

    Heat capacities and heats of reaction were assumed tobe constant

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    Energy Balance Results The addition of the energy balance reduced the overall

    volume necessary to reach 80 % conversion

    The pressure drop was also reduced from 10.64 % to9.98 %

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    Reactor Temperature Profile The temperature throughout the reactor was modeled

    to determine the reactor hotspot

    The effect of changes in the inlet and coolanttemperatures were also explored

    For the base case, the reactor hotspot occurred at thebeginning of the reactor and reached a temperature of

    672.5 K

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    Reactor Temperature Profile

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    Reactor Gain The reactor gain was analyzed to determine the

    thermodynamic stability of the reactor 7

    For a 1C change in inlet temperature, the gain wasfound to be 0.0754

    Inlet

    HS

    T

    TGain

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    Reactor Gain Profile

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    Energy Balance Results The coolant temperature effected the selectivity of the

    reactor

    The highest selectivity was found when the coolanttemperature and the inlet temperature were equal

    To

    (K)

    Ta

    (K)

    Facrolein

    (kmol/s)

    FCO2

    (kmol/s)FCO (kmol/s)

    Facetaldehyde

    (kmol/s)Selectivity

    663.15 658.15 0.017681 0.007796 0.001124 0.002031 1.615

    663.15 663.15 0.018495 0.007347 0.001307 0.002107 1.719663.15 668.15 0.019248 0.006897 0.001511 0.002176 1.819

    658.15 658.15 0.017646 0.007834 0.001114 0.002028 1.608

    668.15 658.15 0.017718 0.007757 0.001135 0.002034 1.622

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    Final Reactor DesignVariable Value Units

    Inlet Propylene Flow Rate 0.027213 kmol/s

    Inlet Oxygen Flow Rate 0.299583 kmol/s

    Inlet Nitrogen Flow Rate 1.12716 kmol/s

    Overall Pipe Diamter 4.5 m

    Tube Diameter 0.0258226 m

    Number of Tubes 30228 -

    Reactor Length 2.42366 m

    Void Fraction 0.45 -

    Inlet Pressure 303.975 kPa

    Inlet Temperature 663.15 K

    Coolant Temperature 663.15 K

    Overall Heat Transfer Coefficient 227 W/m2-KCatalyst Bulk Density 1565.5 kg/m3

    Catalyst Weight 59997.8 kg

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    Temperature Profile in Final

    Reactor Design

    662

    664

    666

    668

    670

    672

    674

    676

    678

    680

    0 10000 20000 30000 40000 50000 60000 70000

    ReactorTemperatur

    e(K)

    Catalyst Weight (kg)

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    Flow Rate Profile in Final Reactor

    Design

    0

    0.005

    0.01

    0.015

    0.02

    0.025

    0.03

    0 10000 20000 30000 40000 50000 60000 70000

    FlowR

    ate(kmol/s)

    Catalyst Weight (kg)

    Propylene

    Acrolein

    CO2

    CO

    Water

    Acetaldehyde

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    References1) Guest, H.R.. "Acrolein and Derivatives." Kirk-Othmer Encyclopedia of Chemical Technology. 4th ed.2) Machhammer, et al. Method for Producing Acrolein and/or Acrylic Acid. US Patent 7,321,058. January 2008.

    3) Dr. Concetta LaMarca. Memo 2: Simple Kinetics. 2008.

    4) Fogler, H. Scott. Elements of Chemical Reaction Engineering. 4th Ed. Prentice Hall. 2006.

    5) Tan, H. S., J. Downie, and D. W. Bacon. "The Reaction Network for the Oxidation of Propylene over a BismuthMolybdate Catalyst." The Canadian Journal of Chemical Engineering 67(1989): 412-417.

    6) "Bismuth molybdate, powder and pieces." CERAC Online Catalog Search. CERAC Incorporated. 05 Mar 2008.

    7) Dr. Concetta LaMarca. Memo 5: Energy Balance. 2008.

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    Any Questions?

    REACTOR

    FEED

    PRODUCT