Nþ1 xt
Cx ¼ ¼
(27)
Z Z dx
R xt dx
mðxÞ— 1
dn ¼ N þ 1 ffi
0 xb
xð1 —
xÞ ln½aðxÞ]
(20)
xb xð1—xÞ ln½aðxÞ]
Z
G 。Cy
Cx。
or for any two stages in the column
hHETPi ¼ N ¼ a
ky þ kx
(28)
n1
Z
dn ¼ ni — nj ffi
nj
xi
Z dx
xð1 — xÞ ln½aðxÞ]
xj
(21)
Although the calculations look overwhelming, they are actually quite easy to perform numerically—in fact, these integrals are substantially easier to evaluate than the sums discussed earlier。 Further, there is no restriction on these
Note that the restriction of the Fenske equation to constant relative volatility has been removed。
Next, the packed-height calculation can be approximated
equations to constant relative volatility。
Even without evaluating these integrals some important conclusions can be drawn。 First, note that hHETPi now depends explicitly on the bottom and top compositions。 So, it
0
Z
Z ¼ HETPðnÞdn ¼
xt
Z HETP x dn dx
dx
is not enough to just report hHETPi, one must also report the top and bottom compositions as well。 Second, as the bottom and top compositions depend on the packed depth, we should
Nþ1 xb
xt
expect to see that HETP is packed depth dependent。 Indeed,
20–22
Z 。 1
mðxÞ。。 1
。 ln½mðxÞ]
this is oftentimes observed,
and the effect is sometimes
ffi kyam
þ kxam
xð1 — xÞ ln½aðxÞ]
dx
mðxÞ— 1
even included in packed-column mass-transfer correla-
4,23,24
xb tions。 Figure 3 shows how Cy and Cx vary with the mole
fraction of the light component for a fictitious binary mixture
with a ¼ 1。2 and the bottom composition fixed at xb ¼ 0。05。
Dimensional analysis
First, we consider expressions for the mass-transfer coefficients
hHETPi ¼ N ffi G
R xt dx
xb xð1—xÞ ln½aðxÞ]
R xt 。
xb
1
kx am
。。 mðxÞ
xð1—xÞ ln½aðxÞ]
。 ln½mðxÞ]
mðxÞ—1
ky ¼ KyðvV; qV; lV; cV; DV; deÞ 填料塔的新传质相关性英文文献和中文翻译(8):http://www.youerw.com/fanyi/lunwen_81699.html