mass transfer in multiphase systems - Greenleaf University
mass transfer in multiphase systems - Greenleaf University
mass transfer in multiphase systems - Greenleaf University
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MASS TRANSFER<br />
R IN MULTIPHASE SYSTEMS: VOLATILE<br />
ORGANIC<br />
COMPOUND<br />
REMOVAL IN THREE-PHASE SYSTEMS<br />
v<br />
dS<br />
<br />
S<br />
<br />
V<br />
<br />
<br />
t<br />
<br />
<br />
V<br />
<br />
<br />
v dV<br />
<br />
<br />
<br />
<br />
v dV<br />
0<br />
<br />
<br />
dV t<br />
(113)<br />
(114)<br />
S<strong>in</strong>ce the volume <strong>in</strong>tegral is zero, the <strong>in</strong>side is zero<br />
<br />
<br />
t<br />
<br />
vdV<br />
0<br />
(115)<br />
This matches case III<br />
Figure 18. All Equations are Equivalent.<br />
Us<strong>in</strong>g Path B <strong>in</strong> Figure<br />
18:<br />
<br />
<br />
<br />
v<br />
<br />
<br />
v<br />
v<br />
<br />
(116)<br />
S<strong>in</strong>ce:<br />
D<br />
<br />
v<br />
<br />
Dt t<br />
(117)<br />
Now us<strong>in</strong>g Path D <strong>in</strong> Figure 18:<br />
56