Agitating Vessel

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    Design of agitated

    Heat transfer vessel

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    GROUP MEMBERS

    SABA 06-CHEM-02

    FARIHA 06-CHEM-16

    SHAZIA 06-CHEM-38

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    Dual Shaft Paste Mixer

    The Dual Shaft Mixer includes

    an Anchor agitator and a HighSpeed Disperser. The anchorfeeds product into the highspeed disperser blade and

    ensures that the mixture isconstantly in motion. Theanchor can be provided withscrapers to remove materials

    from the interior vessel walls toenhance the heat transfercapabilities of the mixer. Bothagitators are available forvariable speed operation

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    Dual Shaft Paste Mixer

    http://www.lab-mixers.com/default.asp
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    Jacked and coil heat transfer agitatorvessel

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    Heat transfer coil in side vessel

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    Use of baffles

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    Applications

    Mixing tanks are typically used in the productionof viscous fluids such as petroleum, plastics,paints, paper, cosmetics, and food. Themechanical agitation of fluid in these vessels can

    significantly increase the rate of heat transferbetween the process and cooling fluids. Sincethe 1950s, a number of authors have exploredheat transfer for Newtonian fluids in a variety ofagitated vessel configurations. There has been a

    limited amount of research performed, however,for heat transfer to non-Newtonian (power law)fluids.

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    chemical, food, drugs dyes and otherindustries

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    Use for Pharmaceutical Application

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    used in chemical and pharmaceutical industries

    h i l l i & dh i

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    Petro-Chemical, Polymers,Coatings & Adhesives,Agricultural & General Chemicals,Plastics&Rubber

    ,Food & Beverage Industry.

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    Homogeneous Batch/Semi-batchReactions

    Homogeneous batch/semi-batch are themost common reaction type. They can beas simple as adding measured quantities

    of two or more reactants to a vessel andmixing. Heat is normally removed oradded through a jacket, heating mantle or

    external heat exchanger

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    Data Given

    Liquid Properties:

    Cp = 0.6 Btu/(lb) (O

    F)k= 0.1Btu/(hr)(sq.ft)(OF/ft)

    = 1000cp (at80F)

    =60lb/ft3 = 8.02lb/galCp,k and are assumed to be constant

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    Steam properties:

    hs=1000 Btu/(hr)(sq.ft)(OF)

    Vessel Properties:

    Wall thickness= 0.125 in

    K of vessel = 9.4 Btu/(hr)(sq.ft)(OF/ft)

    Eq used for calculating heat transfer coefficientNNU= 0.73(NRE)

    0.65(NPR)0.33(w/ b)

    0.14

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    STEP 1:

    Diameter of the vessel DT=6 ft.6-ft diameter agitated vessel conforming to

    standard configuration as shown in the figure.The vessel is equipped with the 2 ft diameter 6-

    blade, flat-blade turbine impeller running at 100rpm.

    Diameter of impeller = 2ft

    Impeller blade width=0.5 ft

    Impeller blade height=0.4 ft

    Baffle width=0.6 ft

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    STEP 2:

    Inside area of the vessel = DL (L=D)

    = 3.14(6)(6)

    = 113 ft2

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    STEP 3:

    Reynolds number evaluation at

    80F,130F,180F by using,

    NRE= N Di2/

    Here, we assume density to be constant

    over the temperature range.

    Viscosity values at different temperatures is;

    (80F) = 1000cp (from table)(130F) = 270 cp

    (130F) = 84cp

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    Diameter of impeller, Di= 2 ft

    From these values , the Reynolds number is,

    NRE(80F) = (60)(6000)(4)/(2420)

    = 595NRE(130F)= 2200

    NRE(130F)=7080

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    STEP 4:

    The Prandtl number calculations at

    80F,130F,180F are,

    NPR= CP/k

    NPR (80F) = (0.6)(2420)/(0.1)

    = 14500

    NPR (130F) = 3920NPR (180F) = 1220

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    STEP 5:Approximate the value of inside

    heat transfer coefficient from givenequation;

    NNU= hiDT/k = 0.73(NRE)0.65(NPR)

    0.33

    substitutingthe appropriate values into thisrelationship gives:

    hi(80F) =18.4 Btu/(F) (hr) (sq.ft)

    hi(130F) =27.6 Btu/(F) (hr) (sq.ft)

    hi(180F) =40.4 Btu/(F) (hr) (sq.ft)

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    STEP 6:

    The wall temperature from the above heat

    transfer coefficients are calculated andused to evaluate the viscosity of liquid atvessel wall

    The wall temperature is estimated fromthe approximate equation:

    TW= TS [(TS-TB)/1+(hsAO/hiAi)]

    here, AO= Ai

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    Solving wall temperature

    TW (at TB = 80F) = 209.6 F

    TW (at TB = 130F) = 209.8 FTW (at TB = 180F) = 210.7 F

    Viscosity values at different temperatures is;(209.6F) = 47cp (from table)

    (209.8F) = 47cp

    (210.7F) = 46 cp

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    Calculate the viscosities ratios equals to

    w/ b

    At TB=80F and TW= 209.6F

    VIS=47/1000=0.047

    At TB=130F and TW= 209.8F

    VIS=47/270=0.174

    At TB=80F and TW= 209.6F

    VIS=46/85=0.541

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    STEP 8:

    1/Ui = 1/hi+ x/k +1/hs

    hi= as calculated in step 7x= 1/8 in =0.0104 ft

    K= 9.4 Btu/(hr)(sq.ft)(F/ft) for the vessel

    wallhs= 1000 Btu/(F) (hr) (sq.ft)

    Ui(Tb=80 F) =0.0281 Btu/(F) (hr) (sq.ft)Ui(Tb=130 F) =38.7 Btu/(F) (hr) (sq.ft)

    Ui(Tb=180 F)= 42.5 Btu/(F) (hr) (sq.ft)

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    Ui at different time intervals

    35

    36

    37

    38

    39

    40

    41

    42

    43

    0 50 100 150 200

    Tb(F)

    Ui Ui

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    STEP 9:

    Time taken to heat the liq over each tempincrement is calculated by this formula

    Thr=(MCP/UiAi) ln [TS TI/TSTf]

    Liquid mass= (Dt2/4)(Ht)()

    = (36/4)(6)(60)

    =10180 lb

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    Time reqd to heat the nass from 80 to 100 F iscalculated as

    t(80-100F)= (10180)(0.6) ln (212-80)

    (36.15)(113) (212-100)

    =0.242 hrt(100 -120F) = 0.283 hr

    t(120 -140F) = 0.340 hr

    t(140-160F) = 0.439 hrt(160-180F) =0.630 hr

    Total Time = 1.934 hr

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    Approximate method:

    Thr=(MCP/UiAi) ln [TS TI/TSTf]

    Thr=(10180*0.6/38.7*113)

    *ln [212-80/212 -180]Thr=1.981 hr

    Value differ by only 2.4%