Prediction of batch heat transfer coefficients for pseudoplastic fluids ...
Prediction of batch heat transfer coefficients for pseudoplastic fluids ... Prediction of batch heat transfer coefficients for pseudoplastic fluids ...
54 The es tima ted accuracy is ± 17% fu"'1d ± 2076 for the jacket and coil respectively. There are five criticisms or limitations to this 1-1ork. 1. The Hall velocity term t.!aS chosen on an unsound basis. 2. The viscosity term in the Reynolds and Prandtl numbers does not take into account changes of apparent viscosity with changes in agitation rate. 3. Only one impeller was used. ~-. The viscosity range covered is limited. 5. The viscosity ratio term does not revert to the one generally accepted for Newtonian fluids as fLoo approaches fLo ltJork of Salamone et al (165) The second Hork on this subject, dealing with jacketed vessels only, was done by J. J. Salamone, A. Cristaldi, and A. Korn. Salamone et ale studied the heat transfer characteristics of power-law pseudoplastics, Hith flow behavior indexes varying from 0.33 to 0.77, in a 12 inch diffi~eter stainless steel vessel, using a four inch flat bladed turbine with six blades. The heat transfer runs Here of the unsteady state variety and the Hilson plot method was used to calculate the batch heat transfer coefficient. The results were cross plotted
ss to (2-46 where ill is the consistency index factor used for flow in pipes (118) .. (2-L~ 7 The generalized Reynolds number range covered was 83 to 1286 and the fluid consistency index, evaluated at the average bulk temperature, ranged from o.ol~_6 to 0.609 Ibfsec~/ft2. Equating the generalized Reynolds number to the NeHtonian Reynolds number Sh01-JS that the apparent viscosity used in the above correlation is 1:Jhich is very similar to the apparent viscosi ty in pipes if N is substituted by V/D. As reported earlier in this chapter, Netzner and his co-workers have experimentally determined that the apparent viscosity in agitated vessels could best be represented by fL ( c' 1\T) n-l a.= K II.:.; l~ (2-25 and that the Reynolds num.ber be expressed as {2-26 The Sal~10ne (165) correlation is an improvement over
- 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 and 64: SI done on the correlation of heat
- Page 65: 5J evaluated at the wall temperatur
- 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
54<br />
The es tima ted accuracy is ± 17% fu"'1d ± 2076 <strong>for</strong> the jacket<br />
and coil respectively.<br />
There are five criticisms or limitations to this<br />
1-1ork.<br />
1. The Hall velocity term t.!aS chosen on an unsound<br />
basis.<br />
2. The viscosity term in the Reynolds and Prandtl<br />
numbers does not take into account changes <strong>of</strong> apparent<br />
viscosity with changes in agitation rate.<br />
3. Only one impeller was used.<br />
~-. The viscosity range covered is limited.<br />
5. The viscosity ratio term does not revert to the<br />
one generally accepted <strong>for</strong> Newtonian <strong>fluids</strong> as<br />
fLoo approaches fLo<br />
ltJork <strong>of</strong> Salamone et al (165)<br />
The second Hork on this subject, dealing with jacketed<br />
vessels only, was done by J. J. Salamone, A. Cristaldi, and<br />
A. Korn.<br />
Salamone et ale studied the <strong>heat</strong> <strong>transfer</strong> characteristics<br />
<strong>of</strong> power-law <strong>pseudoplastic</strong>s, Hith flow behavior indexes varying<br />
from 0.33 to 0.77, in a 12 inch diffi~eter<br />
stainless steel<br />
vessel, using a four inch flat bladed turbine with six blades.<br />
The <strong>heat</strong> <strong>transfer</strong> runs Here <strong>of</strong> the unsteady state variety<br />
and the Hilson plot method was used to calculate the <strong>batch</strong><br />
<strong>heat</strong> <strong>transfer</strong> coefficient. The results were cross plotted