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 ...
112 correlations for the prediction of batch side heat transfer coefficients. These data are summarized in Table 5-3. Two general types of correlations were evaluated, those based on the dDJlensional analysis developed in Chapter 3, and those which are semi-emperical alterations of the present correlation for Nel,rtonian fluids .. FO'ur different types of impellers '(-Jere used in this study: anchor, paddle, propeller, and turbine. Since tl1.e geometry and flovl patterns for each L.'1lpeller may be different, the constants of any correlations tested Her'e evaluated separately for each impeller type. Only one anchor agitator was used and therefore the effects of impeller diameter and ,,,,idth could not be evaluated for the anchor .. The propellers were geometrically similar and therefore only the diameter effect was measured. Results of Dimensional Analysis The dimensional analysis of Chapter 3 provided (~~~ra.) a. b )C(: d e AlMI~C~~ fl!p/t" (~) (g: :;) ~ (3-8.0 as an equation 1:Jhich characterizes the batch heat transfer system. The constants of this correlation\labeled correlation A) Here evaluated and are presented in Table 5-4. correIa tion ",ri th its constants Has then used to calculate a "predicted Nusselt number" for each of the data pOints. The percentage error The
3 Smll~L4.RY OF DATA POINTS USED IN CORRELATIONS . Number of Data Points _Flov.r Behavior Index ::: 1 .. 0 Impel:}..er Type 0 .. 69 0 .. 36 Total Anchor 16 8 8 7 39 Paddle Propeller Turbine l51~ 26 48 48 15 16 ~L6 7 15 29 6 277 54 83 TOTAL 87 76 -----------------------------------------~--~--~~--------
- 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
- Page 116 and 117: 01 TABLE 5-2 sutn~U{Y OF ADDITIONAL
- Page 118 and 119: 108 the batch than the other ticJO
- Page 120 and 121: 108 optimum impeller heights were u
- Page 122 and 123: 10 I r "'" , •• ,'., "",' """",
- Page 126 and 127: TABLE 5 - 4 Correlation Constants A
- Page 128 and 129: 1/6 Table 5-5 and 5-6. A measure of
- Page 130 and 131: TABLE S - 6 IMPELLER Correlation Co
- Page 132 and 133: 120 greater than 2.0. In this case
- Page 134 and 135: 12.2
- Page 136 and 137: TABLE 5 - 9 CORRELATION E t (a/n +1
- Page 138 and 139: TABLE 5 - 10 IMPELLER Correlation C
- Page 140 and 141: TABLE 5 - 11 CORRELATION G (1.30/61
- Page 142 and 143: 1.30 of the substantial improvement
- Page 144 and 145: 1.3 2. The probable error in the ca
- Page 146 and 147: 134 .,;' : :: :::: : ~ !~. , " . .'
- Page 148 and 149: T." ••••••• ,_ .....
- Page 150 and 151: 38 the cooling of nitration liquors
- Page 152 and 153: 140 The average deviation of the me
- Page 154 and 155: 42 tween 0.25 and 0.58. L~~l had re
- Page 156 and 157: 144 transfer coefficients to non-Ne
- Page 158 and 159: 16 of fit and it may t...herefore b
- Page 160 and 161: 148 'tvas insufficient data to eval
- Page 162 and 163: 50 A ::: Apr ... B ::: C p ::: CPr
- Page 164 and 165: 52. Q ::. Average heat transfer rat
- Page 166 and 167: Xc = Function of Reynolds nL:l.m.be
- Page 168 and 169: IS6 G REE:>{ ALPHABET 0 ::: Value o
- Page 170 and 171: 158 coefficient. Thus, for the wate
- Page 172 and 173: 160 , ., I .. : I :. '. • • !.
112<br />
correlations <strong>for</strong> the prediction <strong>of</strong> <strong>batch</strong> side <strong>heat</strong> <strong>transfer</strong><br />
<strong>coefficients</strong>. These data are summarized in Table 5-3. Two<br />
general types <strong>of</strong> correlations were evaluated, those based<br />
on the dDJlensional analysis developed in Chapter 3, and<br />
those which are semi-emperical alterations <strong>of</strong> the present<br />
correlation <strong>for</strong> Nel,rtonian <strong>fluids</strong> ..<br />
FO'ur different types <strong>of</strong> impellers '(-Jere used in this<br />
study: anchor, paddle, propeller, and turbine. Since tl1.e<br />
geometry and flovl patterns <strong>for</strong> each L.'1lpeller may be different,<br />
the constants <strong>of</strong> any correlations tested Her'e evaluated<br />
separately <strong>for</strong> each impeller type.<br />
Only one anchor<br />
agitator was used and there<strong>for</strong>e the effects <strong>of</strong> impeller<br />
diameter and ,,,,idth could not be evaluated <strong>for</strong> the anchor ..<br />
The propellers were geometrically similar and there<strong>for</strong>e<br />
only the diameter effect was measured.<br />
Results <strong>of</strong> Dimensional Analysis<br />
The dimensional analysis <strong>of</strong> Chapter 3 provided<br />
(~~~ra.) a. b )C(: d e<br />
AlMI~C~~ fl!p/t" (~) (g: :;) ~ (3-8.0<br />
as an equation 1:Jhich characterizes the <strong>batch</strong> <strong>heat</strong> <strong>transfer</strong><br />
system.<br />
The constants <strong>of</strong> this correlation\labeled correlation<br />
A) Here evaluated and are presented in Table 5-4.<br />
correIa tion ",ri th its constants Has then used to calculate<br />
a "predicted Nusselt number" <strong>for</strong> each <strong>of</strong> the data pOints.<br />
The percentage error<br />
The