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 IN MULTIPHASE SYSTEMS: VOLATILE ORGANIC COMPOUND<br />
REMOVAL IN THREE-PHASE SYSTEMS<br />
dS<br />
dS<br />
v<br />
dV<br />
Figure 16. Control Volume.<br />
The rate of the amount leav<strong>in</strong>g the control volume is ρvA or a <strong>mass</strong> flux times the area, normal to the<br />
area:<br />
<br />
vA v dS<br />
<br />
S<br />
The change <strong>in</strong> <strong>in</strong>ventory of the control volume is d(<strong>mass</strong>)/dt but the <strong>mass</strong> is the density <strong>in</strong>tegrated over the<br />
volume:<br />
m<br />
dV<br />
(97)<br />
V<br />
m<br />
<br />
<br />
t t<br />
V<br />
dV<br />
(98)<br />
(96)<br />
<br />
S<br />
<br />
vdS dV<br />
t<br />
<br />
V<br />
(99)<br />
Case II Control Volume mov<strong>in</strong>g with flow<br />
The <strong>mass</strong> <strong>in</strong> the control volume is the same as the above, i.e.:<br />
m<br />
dV<br />
(100)<br />
V<br />
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