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

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45<br />

The group to the left <strong>of</strong> the equal sign is called the<br />

Nusselt number.<br />

The first group to the right is the mixing<br />

Reynolds number, the second is the Pr~ndtl<br />

number, and the<br />

third is a viscosity correction factor similar to the one<br />

used by Sieder and Tate (181) in pipes..<br />

Very fe1.o[ investigators<br />

have studied the effects <strong>of</strong> the remaining groups.<br />

The results <strong>of</strong> most <strong>of</strong> the vwrk done in the field <strong>of</strong><br />

correlation <strong>of</strong> <strong>heat</strong> <strong>transfer</strong> rates in jacketed agitated<br />

vessels to Newtonian <strong>fluids</strong> can be sw~marized<br />

2-36<br />

by equation<br />

NNU (2-36<br />

A survey <strong>of</strong> the experimental conditions and correlation<br />

results <strong>of</strong> the papers published to date <strong>for</strong> the jacket and<br />

coil types <strong>of</strong> <strong>heat</strong> <strong>transfer</strong> surfaces Sh01'ITS<br />

that the exponent<br />

<strong>of</strong> the Reynolds nlwber is usually reported as 0.67 althol~h<br />

it varies from 0.5 to 0.75.<br />

Likewise, the exponent <strong>of</strong> the<br />

Prandtl num.ber is usually reported as 0 .. 33 but varies from<br />

0.25 to 0.50. The viscosity ratio exponent varies behJeen<br />

o.lL~ and 0.90 with the majority reports about 0.14. The constant,<br />

C, varies over a 1rlide r~nge-,<br />

from .035 to 39 .. 0 and is<br />

probably a function <strong>of</strong> the impeller type and system geometry.<br />

One author (160) reports C to be a function <strong>of</strong> Reynolds<br />

nlwber.<br />

This function is different <strong>for</strong> each type <strong>of</strong> impeller.<br />

Another author (137) reports that the exponent <strong>of</strong> the viscosity

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