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

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momentum" mass" and energy may be ~'Iritten.<br />

the z direction the equation <strong>of</strong> motion is (21)<br />

( (J Y ~ + 'VA. J V<br />

z + V g J Vz -+ V z ) V<br />

z L _ d?<br />

)1; )A. A, Je Jz )- cJz<br />

(<br />

~ J (.-2 1A.z) -+.-! J l"sz + J Izz. L.,L ~ q z<br />

-..-i. .J A.. --i. d- e j z j -J<br />

For flow in<br />

(3-1<br />

For the model being considered in the region near the wall:<br />

1. The flmv is as slLrned to be cons tan t 1-li th<br />

time, there<strong>for</strong>e j ;z ~ tJ<br />

2. The velocity gradients in the 8 and z<br />

directions are assumed to be zero.<br />

3. The velocity in the 8 direction is assumed<br />

to be zero.<br />

?t.<br />

For a power 1m·] fluid r::: K;; .<br />

There<strong>for</strong>e,<br />

1.4z = _Kr.:!!k -f- ~ 7 ~ - K [d h. J~ (3-2<br />

L)/t.. dz..l "d4<br />

2. Tzz ~ - ;:(}:) ~ 0 U-3<br />

3· I;z"-;;'lj1 +1 jf1: 0 (H<br />

The equation <strong>of</strong> motion <strong>for</strong> this model is thus<br />

The continuity equation is (21)<br />

/<br />

-r - h-<br />

-f<br />

I<br />

(3-5<br />

For the model vJi th negligible velocity gradients in the z

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