WeL ¼
L Fr L
r gde
After some substitutions, we arrive at the following alternate relationship for am/ad
where
AM ¼ AMAL (46)
am
。qV。a—v。lV。bþv
Re—b—v—e
Fr/=2—a—b=2þv=2—e=2
A0 A =A
(47)
ad / qL
lL ð
L Þð L Þ
V ¼ V L
× ðWeaþbþe v
Our final equation for am/ad is
L ÞðReVÞ ð41Þ
Therefore, it is not generally possible to deconvolute experimentally measured hHETPi data from binary distilla- tion experiments into unique correlating expressions for ky, kx, and am from the hHETPi dataset alone。 To resolve the
A B
am
A 。qV。 。lV。
ReX
FrD
WeE
ReU
(42)
‘‘Eq。 45’’ dilemma, the absolute magnitude of any one of
ad ¼ M q
lL ð
L Þð
L Þð
LÞð VÞ
the front factors—AV, AL, and AM—appearing in Eq。 44
must be established。
Equation 44 contains 13 fitting coefficients。 Ten of these
Note the appearance of the groups (qV/qL) and (lV/lL) in
our equation for am/ad。 These groups have either not been con- sidered in the development of other correlations for the mass- transfer area or the exponents A and B have been assumed to be zero a priori。3–5 We choose to retain these two groups。
For sheet metal structured packings, we adjust Eq。 42 in an ad hoc way to allow it to account for the corrugation in- clination angle
appear as exponents on dimensionless groupings。 Trying to fit data to an equation in which the same physical quantity simul- taneously contributes to one or more dimensionless groups in the equation presents statistical difficulties。26 Meaningless cor- relations have been known to result when variations in the data to be fit and in the physical parameters making up the dimensionless groupings are sufficiently large and random。27
To try to avoid the majority of these statistical difficulties, we shall fix the values of several of the power-law exponents
am
。q 。A。l 。B
A
ReX
FrD
WeE
。 cos 。t
ReU
in Eq。 44 by appealing to verified results from other types of
ad ¼ M q
lL ð
L Þð
L Þð
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