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 ...
30 than ror the non-Newtonians. As the middle of the transition region is approached (NR~ = 100) turbulence begins near or betvJeen the impeller blades. For the pseudoplastics, this turbulence is rapidly damped. In the turbulent region there is much turbulence near the impeller but it is damped out quickly at any distance from the Lmpeller. There is not as much turbulence ror the Newtonian fluids but it extends further into the bulk of the fluid. In the horizontal plane of the impeller the local velocities increase slightly more than linearly with rotational speed for the NeHtonian r ..... 1uids. For the pseudoplastics the increase in velocity is almost exponential. Thus at high shear x'ates the pseudoplastics may flow more than the NeHtoni8~l.s 1>Ihile at 10H rotational speeds the reverse is true. Metzner et al. (122) used the onset of fluid movement near the vessel Hall as a criterion for good mixing. At low Dt/Da ratios there is no advantage to using tHO turbines. For values of Dt/Da above 2 .. 0 less power is consumed for equal mixing if two tUl"bines are used, since at high values of this ratio tHO turbines circulate hlice as much fluid as one .. The data indicate that propellers are only desirable
31 for viscous pseudoplas tics at 101'1 values of' Dt/Da • A fan turbine seems to be better than both one or hw disk and vane turbines except at high values of Dt/D a . The a..'dal flmAj" component must aid in mixing normally stagnant regions. At high Reynolds n~mbers the fan turbine loses its advantage. Table 2-1 lists the minimum Reynolds nlli'l1ber required for movement near the wall for pseudoplastic fluids. Mixing is best accomplished in the turbulent regions. For pseudoplastic fluids this region is usually confined to the center of the vessel. Thus to improve mixing efficiency low values of the tffiL~ diameter to impeller diameter ratio should be used and/or multiple impellers. Dilatant fluids are not sensitive to lowering Dt/Da or usli~g multiple impellers (122). Lee, Finch and Wooledge (104) injected dye one inch above the impeller ru~d noted the time needed for complete mixing. Godleski and Smith (75) added a saturated solution of phenolphthalein to the fluid and then acid Has added. A short time later base was added and the time required for the indicator to change color was measured. Both groups report that the mixing time in baffled vessels vJaS longer than in unbaffled vessels. Godleski and Smith report that the mixing time (in seconds) is related to the voy'tex depth, H v ' and the impeller dia.me-ter by
- Page 1 and 2: Copyright Warning & Restrictions Th
- Page 3 and 4: PREDICTION OF BATCH HEAT TRANSFER C
- Page 5 and 6: while the latter has five to seven
- Page 7 and 8: ACKNOWLEDGEMENTS The auther ex~ress
- Page 9 and 10: Chapter 1: Chapter 2: Introducticm
- Page 11 and 12: 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: 29 In both Newtonian and non-Newton
- 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 and 66: 5J evaluated at the wall temperatur
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- 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.
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31<br />
<strong>for</strong> viscous pseudoplas tics at 101'1 values <strong>of</strong>' Dt/Da • A fan<br />
turbine seems to be better than both one or hw disk and<br />
vane turbines except at high values <strong>of</strong> Dt/D a . The a..'dal<br />
flmAj" component must aid in mixing normally stagnant regions.<br />
At high Reynolds n~mbers the fan turbine loses its advantage.<br />
Table 2-1 lists the minimum Reynolds nlli'l1ber required<br />
<strong>for</strong> movement near the wall <strong>for</strong> <strong>pseudoplastic</strong> <strong>fluids</strong>.<br />
Mixing is best accomplished in the turbulent regions.<br />
For <strong>pseudoplastic</strong> <strong>fluids</strong> this region is usually confined to<br />
the center <strong>of</strong> the vessel. Thus to improve mixing efficiency<br />
low values <strong>of</strong> the tffiL~ diameter to impeller diameter ratio<br />
should be used and/or multiple impellers. Dilatant <strong>fluids</strong><br />
are not sensitive to lowering Dt/Da or usli~g multiple impellers<br />
(122).<br />
Lee, Finch and Wooledge (104) injected dye one inch<br />
above the impeller ru~d noted the time needed <strong>for</strong> complete<br />
mixing. Godleski and Smith (75) added a saturated solution<br />
<strong>of</strong> phenolphthalein to the fluid and then acid Has added. A<br />
short time later base was added and the time required <strong>for</strong><br />
the indicator to change color was measured. Both groups<br />
report that the mixing time in baffled vessels vJaS longer<br />
than in unbaffled vessels. Godleski and Smith report that<br />
the mixing time (in seconds) is related to the voy'tex depth,<br />
H v ' and the impeller dia.me-ter by