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8/13/2019 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.asp8/13/2019 Agitating Vessel
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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%