Prediction of batch heat transfer coefficients for pseudoplastic fluids ...

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Si TO NON-NE1:;JTONIAN FLUIDS REPORTED.-..!~~ LITEIZATURE To date only two papers have been written on the correlation of batch heat transfer coefficients in agitated vessels. Hork of Thomas Blanchard and J1..1. Chin Ch12. (22) -~---... ~-=""'-'~--"-- "-¥". - *" Thomas Blanchard and J1..1. Chin Ch1..1.st1..1.died heat transfer to pseudoplastic fluids in an agitated tank (156). They performed heat transfer experiments on aqueous solutions of 2.0 percent hydrolyzed polyacrylonitrile, 3 .. 5 percent polyvinyl alcohol, ffiLd 2.0 percent polyacrylam~de in a three gallon stainless steel vessel equipped Hith both jacket and coil. The vessel diameter was 10 5/16 inches and a )~- .. 5 x 1.0 inch paddle vv-as the impeller. They used the steady state method and determined the heat transfer coefficients by measuring the wall temperatures. The exponents of the Reynolds and Prandtl numbers 1
5J evaluated at the wall temperature divided by the viscosity at zero shear evaluated at the bulk temperature.. Blanchard thus assumes that the shear rate at the 1".Tall is very high and the shear rate in the remainder of the vessel is low. He points to the 't
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Copyright Warning & Restrictions Th
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PREDICTION OF BATCH HEAT TRANSFER C
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while the latter has five to seven
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ACKNOWLEDGEMENTS The auther ex~ress
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Chapter 1: Chapter 2: Introducticm
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LIST OF FIGURES page 2-1 FlGW Behav
Page 13 and 14: CHAPTER I INTRODUCTION BATCH HEAT T
Page 15 and 16: 3 as pseudoplasticso Pseudoplastic
Page 17 and 18: 5 ~n addition to studying the effec
Page 19 and 20: 7 A B SLOPE = /'n- .( 10 ~y FIG 2-1
Page 21 and 22: 15.5, 183, 185).. Most of their eff
Page 23 and 24: va:ry withl. the slaear I'Rte.. 11.
Page 25 and 26: 13 RHEOLOGIC_~ INVESTIGATION OFPO~~
Page 27 and 28: IS In(s) (2-8 (2-9 where Re is the
Page 29 and 30: '7 ft~ easier method of calibrating
Page 31 and 32: 19 of' thixotropic breakdown l'Ji t
Page 33 and 34: 21 complicated by a variable viscos
Page 35 and 36: 2J Schultz-GrQnow (174) used a dime
Page 37 and 38: 2S The results shm-red that equatio
Page 39 and 40: Su.bstituti011 of equati 2-22 gives
Page 41 and 42: 29 In both Newtonian and non-Newton
Page 43 and 44: 31 for viscous pseudoplas tics at 1
Page 45 and 46: 33 (2-29 when both the distances ar
Page 47 and 48: JS Thermometers or thermocouples ar
Page 49 and 50: .37 2: a in in heat cQ@tent of the
Page 51 and 52: J9 cooling mediu..:m side, the heat
Page 53 and 54: 41 ports a value of 3/4-.. He then
Page 55 and 56: 43 find the effects of one or two o
Page 57 and 58: 45 The group to the left of the equ
Page 59 and 60: 47 the highest heat tra...nsfer coe
Page 61 and 62: 49 A pitched blade turbine gave coe
Page 63: SI done on the correlation of heat
Page 67 and 68: ss to (2-46 where ill is the consis
Page 69 and 70: CHAPTER .2 DEVELOPMENT OF CORRELATI
Page 71 and 72: momentum" mass" and energy may be ~
Page 73 and 74: 61 Vr;> Jt.- ,,"Ii'\... ..", ::: (V
Page 75 and 76: 63 Substitution of these dimensionl
Page 77 and 78: l/(R + 1) and was able t@ elim.iE.a
Page 79 and 80: 67 All of the variables and differe
Page 81 and 82: 69 The average heat transfer coeffi
Page 83 and 84: N"v = C Iv''' (;';~-"')&'i'~ (%t-n,
Page 85 and 86: 73 Semi-Empirical Correlation i ..,
Page 87 and 88: 75 7I1C1?/lfOCOUPLc .JuNe T/ON IMBE
Page 89 and 90: 77 _I"---- / SCALE I ~~, .5 j t /Z.
Page 91 and 92: also cop~ected to the pipes leading
Page 93 and 94: 81 Ve8sel :J all th:l c]me 8 8 .) '
Page 95 and 96: 83 potentiometer for varing the mot
Page 97 and 98: 85 MATERIAL 7:0 STAIIJLESS STEEL /
Page 99 and 100: 11 Wa.ll (Mi€1dl~) Same as #5 81
Page 101 and 102: 89 shea.r ra.tes, tl?1ey a.re unaff
Page 103: and if' lO"V'l$' a sm.all amount of
Page 106 and 107: 94- was about 40-45 ndmutes .. Tke
Page 108 and 109: 96 vThere N is in rev./sec .. and S
Page 110 and 111: 88 ql\fETI A = 6 T \--T -s L/kw (1+
Page 112 and 113: I {)D The generalized Reynolds n~mb
Page 114 and 115:
02. CHAPTER !2. RESUI,TS Many heat
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01 TABLE 5-2 sutn~U{Y OF ADDITIONAL
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108 the batch than the other ticJO
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108 optimum impeller heights were u
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10 I r "'" , •• ,'., "",' """",
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112 correlations for the prediction
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TABLE 5 - 4 Correlation Constants A
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1/6 Table 5-5 and 5-6. A measure of
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TABLE S - 6 IMPELLER Correlation Co
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120 greater than 2.0. In this case
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12.2
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TABLE 5 - 9 CORRELATION E t (a/n +1
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TABLE 5 - 10 IMPELLER Correlation C
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TABLE 5 - 11 CORRELATION G (1.30/61
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1.30 of the substantial improvement
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1.3 2. The probable error in the ca
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134 .,;' : :: :::: : ~ !~. , " . .'
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T." ••••••• ,_ .....
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38 the cooling of nitration liquors
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140 The average deviation of the me
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42 tween 0.25 and 0.58. L~~l had re
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144 transfer coefficients to non-Ne
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16 of fit and it may t...herefore b
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148 'tvas insufficient data to eval
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50 A ::: Apr ... B ::: C p ::: CPr
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52. Q ::. Average heat transfer rat
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Xc = Function of Reynolds nL:l.m.be
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IS6 G REE:>{ ALPHABET 0 ::: Value o
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158 coefficient. Thus, for the wate
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160 , ., I .. : I :. '. • • !.
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162 I , . I . "I '1 I i I 1 I 1· '
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64 ncr --~iIluto e torque of the in
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166 rive different temperatures; ab
Page 180 and 181:
168 TABLE A-4. SLOPE OF "LOG SHEAR
Page 182 and 183:
TABLE 11.-5 RHEOLOGICAL DATA FOR CA
Page 184 and 185:
TABLE A-5 (eollt. ) /12 o . 24;;& C
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'11 The flow behavior index and flu
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i .f.C ·F s o 6 1 6 I
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· . . . " , · . :::11" ': "'" ~ .
Page 192 and 193:
180 Tke thermal e€l1'!ciluetlvity
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182 Heat capacity data for 100% gly
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IB4- wkiek ex~resses the aensity e
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186 Ts - Torque X :: Peree~t 0~ ful
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Phase I Calcu13tiJ~ of Slope of !oG
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3 REAL). N. ti •• D 4 cN=N E'I'
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~~-- ~---- --~--~ ~~~--------------
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Phase IV Correlation of Flow Behavi
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96 HEAT TRANSFER DATA FOR WA'fER US
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DATA /98 Batch \'ieight '" 94 •.
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zoo Run Center Dia!!1ec;er Ri'M Are
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DATA 20l. WATER - TUHBINSS Batch We
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204- HEAT T'rtANSFEH DATA USED IN C
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DATA ANCHor;: 206 Batch :'Ieight =
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2.08 Run Diameter RP!'1 Area Dynamo
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DAT_': 210 "i'ADDI,ES 9:5.7'10 GLYC
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212 DATA PADDLES 0.15 PEHC:::N'r CA
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211- D!~ 'I'l\. PA-:JDLES 0.20 PERC
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~;:. 'I'A 3.16 P.;'DDLES 0.24 PEHCE
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2/8 DATA PROPELL:SH3 0.15 P:~RCEN'l
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DATA DISK & VANE 'l'URBINE \'iATER
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2.22 DATA Tu.'i:SINES 0.15 PERCENT
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CALCULATION OF HEAT TRANSFER AND PR
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________________ ~parent viscosity
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------------------------ -_._------
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~--~, ~ ---- ---- -----------~-----
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232 NOMEliCLATURE FOR BEAT TRANSFER
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2.34- CALCULATED RSSULTS WATER Run
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2,36 Run Center Diameter h NNu Npo
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2.38 CALCULAT'ED ~E~:UL'rS ?!ATER P
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CALCULA'rED 1-{E8iiLlJ. 1 S \.;!\.'
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CALC:_:LA'i'ED _12:-)ULTS 24c. ANCH
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CALCULATEDR3SULTS PADDLE - CENTER H
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CALCULATED HESULTS 216 PADDLES - CE
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248 CALCULATED RESULTS PADDLES - CE
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CALCULATED RE:>ULTS 2. So PADDLf~S
Page 264 and 265:
PADDLES - CALCULATED RE6ULTS CENTSH
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255 CALCULATED !tESULTS PROPELLERS
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CALCULA'rED RELmL'l'S PROPELLr~RS -
Page 271 and 272:
CALCULATED HESULTS DISK AND VANE ;r
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DISK AND VAI'E .rU~1BINES CALCULATE
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DISK AND VANE '.i.'UR13HiES - CEl'i
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26S RESULT,:; U:3ED FOR REGRESSION
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of a least squares line can be calc
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269 (0-9 where y "" log NNu xl = lo
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-------------- -.Basi.c "Progr.a.rr
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-----------~---------- -~----------
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--~-------------- ------ ~~ -------
Page 289 and 290:
Modi fi cati onB-foT' ev:alnatj ng-
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constants forco~~~latjQn F --------
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.------~.~~-- ---------------------
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28.J ENGLISH ALPHABET . - ¢,'"'~-=
Page 297 and 298:
References 2.8S 1. ') L. 3. Lt- •
Page 299 and 300:
287 56. 57. 58. C:;o ./ / . 60. 61.
Page 301 and 302:
289 119. 120. 121. 122. 123. 12L~
Page 303 and 304:
176. 177. 178. 179. 1(30. 181. 182.
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Prediction of batch heat transfer coefficients for pseudoplastic fluids ...

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