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

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20<br />

l'UXIlfG OF NON -NE1rJTONIAN FLUIDS<br />

The mixing <strong>of</strong> non-Newtonian <strong>fluids</strong> in an agitated<br />

vessel is a 'lIDi t operation somel'1fhat similar to <strong>batch</strong> <strong>heat</strong><br />

<strong>transfer</strong>. It is presented because some <strong>of</strong> the results <strong>of</strong><br />

the Hork on mixing can be utilized in developing a correlation<br />

<strong>for</strong> predicting <strong>batch</strong> <strong>heat</strong> <strong>transfer</strong> <strong>coefficients</strong>.<br />

Batch <strong>heat</strong> <strong>transfer</strong> could be classified as a problem involving<br />

the quality <strong>of</strong> mixing but it is usually considered<br />

as a separate study.<br />

A review <strong>of</strong> the small amount <strong>of</strong> Hork<br />

on <strong>batch</strong> <strong>heat</strong> <strong>transfer</strong> to non-Nel'ITtonian <strong>fluids</strong> will be<br />

considered later in this chapter.<br />

This section reviel'JS<br />

the study <strong>of</strong> pov-rer requirements and the quality <strong>of</strong> mixing.<br />

Much <strong>of</strong> the work on fluid flow and <strong>heat</strong> <strong>transfer</strong> to <strong>pseudoplastic</strong>s<br />

in pipes (revie'tved in \1Iilkinson.1 213; Metzner, 118;<br />

and Thomas, 190) was theoretical in nature. The geometry<br />

and flO1..J patterns in an agitated vessel, hmvever, are rather<br />

complex <strong>for</strong> this approach.<br />

The velocity pr<strong>of</strong>ile in a pipe<br />

could be quantitized since it was only a function <strong>of</strong> wall<br />

shear stress, average velocity, and rheological parameters.<br />

In addition the flow Has in only one direction.<br />

In a mixing<br />

vessel the floH is three dimensional, the "\-lall shear stress<br />

is QnY~OHn,<br />

and the average velocity is not only difficult<br />

to define, but is dependent upon the rheological properties,<br />

the speed <strong>of</strong> the agitator, the shape, dimensions, and position<br />

<strong>of</strong> the agitator, and the vessel geometry..<br />

Because <strong>of</strong> great<br />

number <strong>of</strong> 'lIDknown relationships, which are made even more

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