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

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'7<br />

ft~<br />

easier method <strong>of</strong> calibrating the bob with a Newtonian<br />

flllid has been sh01.Jn to be accurate.<br />

!1 NeHtonian fluid <strong>of</strong><br />

knovm viscosity is placed in the viscometer and the torque,<br />

angular velocity, and appropriate dimension data taken.<br />

The shear rate is calculated using equation 2-11 laJi th n tl<br />

equal to Ul~ity.<br />

The shear stress is then calculated using<br />

the shear stI'ess-ra te relationship <strong>for</strong> Nev.rtonian <strong>fluids</strong><br />

/ =/1 r (2-13<br />

The effective height is then calculated using equation 2-5.<br />

Metzner and otto (125) have sho~~<br />

that viscometer bobs calibrated<br />

in this manner give accurate values <strong>for</strong> shear stress<br />

even Hhen using highly <strong>pseudoplastic</strong> <strong>fluids</strong>.<br />

Turbulence.<br />

<strong>for</strong> laminar flmeJ.<br />

Equations 2-5 through 2-12 are only valid<br />

Above a critical Reynolds Number the<br />

flov! becomes turbulent and the shear stress increases at a<br />

mOI'e than proportionate rate, resulting in an increasing<br />

apparent viscosity. Van Wazer (196) reports that the<br />

critical Reynolds nu~ber<br />

is a function <strong>of</strong> the linear velocity<br />

<strong>of</strong> bob surface, Vb' the clearance bet",reen bob and cup, and<br />

the viscosity <strong>of</strong> the fluid.<br />

NReCCRIT.) = "i (Re -R 6 )f<br />

~ = 41.3/Rc/th?c-H2)<br />

/It = 2100<br />

(2-14<br />

{2-l5<br />

It was found in this work that the less viscous <strong>fluids</strong>

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