Abstract

The prediction of mixture condensation is still complex due to the coupled heat and mass transfer and insufficient data of thermophysical mixture properties. This article analyzes the impact of various heat and mass transfer correlations on the non-equilibrium approach for mixture condensation in a vertical plain tube. Furthermore, the influence of thermophysical properties from different databases is investigated. The results are shown for ethanol-water, but allow conclusions to other fluid mixtures. They indicate that the liquid heat transfer coefficient in the non-equilibrium approach dominates the qualitative behavior of the condensation process, but the vapor mass transfer coefficient can only decrease or increase the quantitative level of the effective heat transfer with minor impact. More importantly, the logarithm in the vapor mass transfer term is central for the prediction of the condensation heat transfer. As this logarithm contains vapor-liquid equilibrium (VLE) data, it proves that there is a strong connection between VLE and overall prediction of mixture condensation. A demonstration of available data for thermophysical mixture properties of ethanol-water shows significant deviations, which affect the calculations as well. Besides, data from our own experiments are presented for mixture viscosity of ethanol-water. It is recommended to focus not only on improved heat and mass transfer correlations but also on thermophysical properties and VLE data for a precise prediction of mixture condensation.

References

1.
Fronk
,
B. M.
, and
Garimella
,
S.
,
2013
, “
In-Tube Condensation of Zeotropic Fluid Mixtures: A Review
,”
Int. J. Refrig.
,
36
(
2
), pp.
534
561
.10.1016/j.ijrefrig.2012.11.030
2.
Fronk
,
B. M.
, and
Garimella
,
S.
,
2016
, “
Condensation of Ammonia and High-Temperature-Glide Zeotropic Ammonia/Water Mixtures in Minichannels—Part II: Heat Transfer Models
,”
Int. J. Heat Mass Transfer
,
101
, pp.
1357
1373
.10.1016/j.ijheatmasstransfer.2016.05.048
3.
Colburn
,
A. P.
, and
Drew
,
T. B.
,
1937
, “
Condensation of Mixed Vapors
,”
Am. Inst. Chem. Eng. Trans.
,
33
, pp.
197
212
.
4.
Bell
,
K. J.
, and
Ghaly
,
M. A.
,
1973
, “
An Approximate Generalized Design Method for Multicomponent Partial Condensers
,”
AIChE Symp. Ser.
,
69
, pp.
72
79
.
5.
Deng
,
H.
,
Fernandino
,
M.
, and
Dorao
,
C. A.
,
2014
, “
Numerical Study of Heat and Mass Transfer of Binary Mixtures Condensation in Mini-Channels
,”
Int. Commun. Heat Mass Transfer
,
58
, pp.
45
53
.10.1016/j.icheatmasstransfer.2014.08.012
6.
Macdonald
,
M.
, and
Garimella
,
S.
,
2016
, “
Modeling of In-Tube Condensation of Zeotropic Mixtures
,”
ASME J. Heat Transfer-Trans. ASME
,
138
(
9
), p. 091502. 10.1115/1.4033352
7.
Del Col
,
D.
,
Cavallini
,
A.
, and
Thome
,
J. R.
,
2005
, “
Condensation of Zeotropic Mixtures in Horizontal Tubes: New Simplified Heat Transfer Model Based on Flow Regimes
,”
ASME J. Heat Transfer-Trans. ASME
,
127
(
3
), pp.
221
230
.10.1115/1.1857951
8.
Thome
,
J. R.
,
El Hajal
,
J.
, and
Cavallini
,
A.
,
2003
, “
Condensation in Horizontal Tubes, Part 2: New Heat Transfer Model Based on Flow Regimes
,”
Int. J. Heat Mass Transfer
,
46
(
18
), pp.
3365
3387
.10.1016/S0017-9310(03)00140-6
9.
Price
,
B. C.
, and
Bell
,
K. J.
,
1974
, “
Design of Binary Vapor Condensers Using the Colburn-Drew Equations
,”
AIChE Symp. Ser.
,
70
, pp.
163
171
.
10.
Lu
,
D. C.
, and
Lee
,
C. C.
,
1994
, “
Investigation of Condensation Heat Transfer of Nonazeotropic Refrigerant Mixtures in a Horizontal Tube
,”
Heat Transfer 1994: Proceedings of the Tenth International Heat Transfer Conference
,
Inst. of Chemical Engineers
, Rugby, Warwickshire and Brighton, UK, Aug. 14–18, pp.
353
358
.10.1615/IHTC10.590
11.
Panchal
,
C.
,
Kuru
,
W.
,
Chen
,
F.
,
Domingo
,
N.
, and
Huang Fu
,
E.
, eds.,
1997
,
Experimental and Analytical Study of Condensation of Ammonia-Water Mixtures
,
Argonne National Laboratory
, Argonne, IL.
12.
Zhang
,
Y.
,
Jia
,
L.
,
Ding
,
Y.
, and
Dang
,
C.
,
2019
, “
Analytical Model for the Condensation Heat and Mass Transfer Characteristics of Binary Zeotropic Mixtures
,”
Int. J. Heat Mass Transfer
,
142
, p.
118487
.10.1016/j.ijheatmasstransfer.2019.118487
13.
Dorao
,
C. A.
, and
Fernandino
,
M.
,
2019
, “
On the Heat Transfer Deterioration During Condensation of Binary Mixtures
,”
Appl. Phys. Lett.
,
114
(
17
), p.
171902
.10.1063/1.5086738
14.
Ackermann
,
G.
,
1937
,
Wärmeübergang Und Molekulare Stoffübertragung im Gleichen Feld Bei Großen Temperatur- Und Partialdruckdifferenzen
,
VDI-Verl
,
Berlin, Germany
.
15.
Fuller
,
E. N.
,
Ensley
,
K.
, and
Giddings
,
J. C.
,
1969
, “
Diffusion of Halogenated Hydrocarbons in Helium. The Effect of Structure on Collision Cross Sections
,”
J. Phys. Chem.
,
73
(
11
), pp.
3679
3685
.10.1021/j100845a020
16.
Zhuang
,
X. R.
,
Chen
,
G. F.
,
Guo
,
H.
,
Song
,
Q. L.
,
Tang
,
Q. X.
,
Yang
,
Z. Q.
,
Zou
,
X.
, and
Gong
,
M. Q.
,
2018
, “
Experimental Investigation on Flow Condensation of Methane/Ethane in a Horizontal Smooth Tube
,”
Int. J. Refrig.
,
85
, pp.
120
134
.10.1016/j.ijrefrig.2017.09.016
17.
Bell
,
I. H.
,
Wronski
,
J.
,
Quoilin
,
S.
, and
Lemort
,
V.
,
2014
, “
Pure and Pseudo-Pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp
,”
Ind. Eng. Chem. Res.
,
53
(
6
), pp.
2498
2508
.10.1021/ie4033999
18.
Li
,
C. C.
,
1976
, “
Thermal Conductivity of Liquid Mixtures
,”
AIChE J.
,
22
(
5
), pp.
927
930
.10.1002/aic.690220520
19.
Grunberg
,
L.
, and
Nissan
,
A. H.
,
1949
, “
Mixture Law for Viscosity
,”
Nat.
,
164
(
4175
), pp.
799
800
.10.1038/164799b0
20.
Poling
,
B. E.
,
Prausnitz
,
J. M.
, and
O'Connell
,
J. P.
,
2001
,
The Properties of Gases and Liquids
, 5th ed.,
McGraw-Hill
,
New York
.
21.
Ingenieure
,
V. D.
,
2010
,
VDI Heat Atlas
, 2nd ed.,
Springer-Verlag
,
Berlin Heidelberg, Berlin, Germany
.
22.
Shah
,
M. M.
,
1979
, “
A General Correlation for Heat Transfer During Film Condensation Inside Pipes
,”
Int. J. Heat Mass Transfer
,
22
(
4
), pp.
547
556
.10.1016/0017-9310(79)90058-9
23.
Numrich
,
R.
, and
Müller
,
J.
,
2010
, “
J1 Filmwise Condensation of Pure Vapors
,”
VDI Heat Atlas
, 2nd ed.,
Springer-Verlag
,
Berlin Heidelberg, Berlin
, Germany, pp.
903
918
.
24.
Blangetti
,
F. L.
,
1979
, “
Lokaler Wärmeübergang bei der Kondensation mit überlagerter Konvektion im vertikalen Rohr
,” Ph.D. thesis,
TU Karlsruhe
,
Karlsruhe, Germany
.
25.
Winterton
,
R.
,
1998
, “
Where Did the Dittus and Boelter Equation Come From?
,”
Int. J. Heat Mass Transfer
,
41
(
4–5
), pp.
809
810
.10.1016/S0017-9310(97)00177-4
26.
Koyama
,
S.
,
Yu
,
Y.
, and
Ishibashi
,
A.
,
1998
, “
Condensation of Binary Refrigerant Mixtures in a Horizontal Smooth Tube
,”
Therm. Sci. Eng.
,
6
(
1
), pp.
123
129
.https://ui.adsabs.harvard.edu/abs/2011TRACE..17...47K
27.
Gnielinski
,
V.
,
1976
, “
New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow
,”
Int. Chem. Eng.
,
1976
, pp.
359
368
.https://www.bibsonomy.org/bibtex/2e5f300b68e4939294c32226ddd6a5a71/thorade
28.
Chilton
,
T. H.
, and
Colburn
,
A. P.
,
1934
, “
Mass Transfer (Absorption) Coefficients Prediction From Data on Heat Transfer and Fluid Friction
,”
Ind. Eng. Chem.
,
26
(
11
), pp.
1183
1187
.10.1021/ie50299a012
29.
Baehr
,
H. D.
, and
Stephan
,
K.
,
2011
,
Heat and Mass Transfer
, 3rd ed.,
Springer-Verlag Berlin Heidelberg
,
Berlin, Heidelberg, Germany
.
30.
Khattab
,
I. S.
,
Bandarkar
,
F.
,
Fakhree
,
M. A. A.
, and
Jouyban
,
A.
,
2012
, “
Density, Viscosity, and Surface Tension of Water+Ethanol Mixtures From 293 to 323K
,”
Korean J. Chem. Eng.
,
29
(
6
), pp.
812
817
.10.1007/s11814-011-0239-6
31.
Assael
,
M. J.
,
Charitidou
,
E.
, and
Wakeham
,
W. A.
,
1989
, “
Absolute Measurements of the Thermal Conductivity of Mixtures of Alcohols With Water
,”
Int. J. Thermophys.
,
10
(
4
), pp.
793
803
.10.1007/BF00514476
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