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mass transfer in multiphase systems - Greenleaf University

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MASS TRANSFER IN MULTIPHASE SYSTEMS: VOLATILE ORGANIC COMPOUND<br />

REMOVAL IN THREE-PHASE SYSTEMS<br />

λ<br />

A<br />

kaV<br />

L L<br />

1<br />

<br />

<br />

s<br />

kaV<br />

L L<br />

s<br />

1<br />

<br />

<br />

P H Pk aV H<br />

A L L A<br />

(26)<br />

The solution to Eq. 25 is via separable ord<strong>in</strong>ary differential equation (ODE):<br />

dX<br />

A<br />

oa<br />

ò = ò K a ( 1 - L / H<br />

s s A A)<br />

dt<br />

(27)<br />

X<br />

A<br />

The explicit result is:<br />

X X e<br />

- oa<br />

K a ( 1 / H s s - L A A)<br />

t<br />

= (28)<br />

A<br />

A0<br />

The results are plotted <strong>in</strong> Figure 11 g . S<strong>in</strong>ce the goal was to ensure each component was reduced<br />

below 30 mg/kg, the theory predicts this to be easily accomplished as shown (see Appendix D<br />

for the values of the constants used). Also, even though they had restricted operations without<br />

the activated carbon, the system performed admirably and commensurate with the predictions <strong>in</strong><br />

Figure 11.<br />

g Some of the constants are from memory s<strong>in</strong>ce the laboratory reta<strong>in</strong>ed the <strong>in</strong>itial publications. However, this is a<br />

fair representation of the results as <strong>in</strong>itially planned to operate.<br />

26

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