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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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7.3 Drying <strong>of</strong> coated film 393<br />

Figure 7.3.5. Calculated heat transfer coefficient <strong>of</strong> industrial dryer<br />

with varying air velocity.<br />

cess, magnetic particulate dispersed<br />

solution is coated on the<br />

PET (polyethlylene terephthalate)<br />

film. The wet coating thickness is<br />

about 5 to 6 μm and the thickness<br />

<strong>of</strong> substrate is 14 to 15 μm. The<br />

line speed is normally 400 m/min<br />

to 1000 m/min. Usually several<br />

kinds <strong>of</strong> solvents are used for the<br />

coating solution, here we used<br />

three kinds <strong>of</strong> solvents - toluene,<br />

methyl ethyl ketone (MEK) and<br />

cyclohexanone (CYC). Equations<br />

7.3.1 and 7.3.3 are applied to each<br />

solvent component. The temperatures<br />

<strong>of</strong> dryer zones were 50 to<br />

130 o C, and the air velocities at the<br />

nozzle exit were 10 to 20 m/sec.<br />

The average heat transfer coefficient<br />

<strong>of</strong> a zone could be found by<br />

applying Martin’s correlation for<br />

the slot nozzles, however in this case we had the empirical coefficient for the Equation 7.3.7<br />

which was supplied by the dryer nozzle manufacturer. And we obtained average heat transfer<br />

coefficients which were ranging from 80 to 140 J/m 2 s o C according to the air velocities <strong>of</strong><br />

the zones.<br />

The coupled and non-linear set <strong>of</strong> equations is solved by standard numerical method<br />

(such as Runge-Kutta-Gill method). The temperature and concentration <strong>of</strong> coating at time 0<br />

was given as the initial concentration <strong>of</strong> coating. The concentration <strong>of</strong> coating at the next<br />

time step was calculated by solving Equation 7.3.1 with assuming that there was no significant<br />

temperature change <strong>of</strong> coating. This is a plausible assumption if the time step is small<br />

enough. Then the result <strong>of</strong> concentration <strong>of</strong> coating was substituted to the Equation 7.3.2<br />

and the temperature <strong>of</strong> coating at<br />

that time step was calculated.<br />

The calculated concentration<br />

and temperature pr<strong>of</strong>ile <strong>of</strong><br />

coating are given as in the Figure<br />

7.3.6. The concentration <strong>of</strong> solvent<br />

gradually decreases along<br />

with the dryer length. The slope <strong>of</strong><br />

solvent concentration pr<strong>of</strong>ile at<br />

zone 1 was nearly constant, but<br />

the slop was changed within the<br />

zone 1 though there were no<br />

changes in the drying conditions.<br />

Figure 7.3.6. Predicted residual solvent and temperature pr<strong>of</strong>ile<br />

along with the dryer length.<br />

It was due to the fact that the less<br />

volatile solvent (cyclohexanone)

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