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

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18<br />

suddenly seemed to become more viscous when a large diameter<br />

bob 'i;'JaS used at high speeds. The problem was easily eliminated<br />

by using a smaller diameter bob, thus greatly reducing<br />

the linear velocity <strong>of</strong> the bob at the expense <strong>of</strong> a small<br />

increase in clearance.<br />

T.emJ2erature effects..<br />

In very viscous <strong>fluids</strong> the <strong>heat</strong><br />

generated by fluid friction is enough to cause a temperature<br />

rise. The un1tJary investigator may then mistakenly report<br />

<strong>pseudoplastic</strong>ity or thixotropy due to the decrease in<br />

apparent viscosity which in actuality is caused by the increase<br />

in temperature.<br />

McKelvey (114) reports that the <strong>heat</strong><br />

generation per unit volume is the product <strong>of</strong> the shear stress,<br />

shear rate,<br />

Heat generation = "~i J (2-16<br />

and convers ion factor to <strong>heat</strong> units. WeI tmann (206) has<br />

derived a complex equation giving the temperature variation<br />

with radius caused by viscous <strong>heat</strong>ing. Heat generation is<br />

not a problem <strong>for</strong> lOH viSCOSity materials and good temperature<br />

control.<br />

Time dependency.<br />

Thixotropic <strong>fluids</strong> may best be measured<br />

in a rotational viscometer.<br />

The shearing stress is determined<br />

<strong>for</strong> various times <strong>of</strong> shear at a constant shear rate. The<br />

apparent viscosity is plotted versus the natural logarithm<br />

<strong>of</strong> the time <strong>of</strong> shear and the slope is called the I1 coefficient

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