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

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70<br />

(3-71<br />

The ratio Dt/HL is a constant <strong>for</strong> all the <strong>heat</strong> <strong>transfer</strong> data<br />

t~{en fu~d thus has no meaning <strong>for</strong> the enclosed data. The<br />

ELIDa term could be used as such, however the fluid height<br />

",ras not varied and thus HL is a constant..<br />

Other authors<br />

(137, 150, 160) have correlated data using Dt/Da and the<br />

use <strong>of</strong> this group is useful <strong>for</strong> s~{e <strong>of</strong> comparison. Since<br />

Dt is a constant it may be substituted <strong>for</strong> HLo<br />

Equation<br />

3-71 may thus be lrJritten.<br />

I~ (3-72<br />

The original set <strong>of</strong> equations vJaS set up assuming a<br />

constant fluid consistency index, K..<br />

HOvJever, in practice<br />

the consistency at the wall is usually quite different from<br />

the consistency <strong>of</strong> the <strong>batch</strong> because <strong>of</strong> the large temperature<br />

gradient. A fourth dimensionless group, K/K w , is thus intraduced<br />

to correct empirically <strong>for</strong> the consistency index<br />

dependence upon temperature.<br />

The use <strong>of</strong> K/K"'J has been<br />

successfully used Ln similar problems in both Newtonian and<br />

non-Newtonian systems.<br />

Although the exact <strong>for</strong>m <strong>of</strong> the function in equation<br />

3-72 is not known, it is assumed that equation 3-73 l

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