Abstract

The sensible and latent heat transfer are two essential considerations in investigating vapor condensation in the presence of noncondensable gases. In this paper, a new model for filmwise condensation heat transfer was developed using similarity-based solution. The expression of gas–liquid interfacial temperature, film thickness, and heat transfer coefficient were derived and calculated, respectively. The analytical results showed that the temperature difference between gas–liquid interfacial and cooling surface is decreased as there is an increase in cooling surface temperature. In addition, the forced-convective condensation heat transfer and film thickness on the vertical surface were experimentally carried out. The proportion of latent heat is 62–67% and relatively larger than sensible heat in the range of wall temperature (17–32.5 °C). The experimental film thickness is less than analytical film thickness by 2–10%. It is because that the liquid film may evaporate back to water vapor in the neighboring wall area due to high temperature of flue gas. Further, a new nondimensional correlation of condensation heat transfer of flue gas is fitted with Nu = 0.62Re0.5Ja0.67 and applicable range is Re = 1000–2500, Ja = 1.7–4.4. The fitting shows a good agreement between experimental and correlated values except some points in the low Nu number. The model proposed is applicable to predict the temperature and velocity distribution for condensation heat and mass transfer of multicomponent gases.

References

References
1.
Administration
,
2019
,
China's Natural Gas Development Report
,
Petroleum Industry Press
,
Beijing, China
, Report.
2.
Che
,
D.
, and
Liu
,
Y.
,
2007
,
Cascade Utilization of Exhausted Flue Gas Heat
,
Chemical Industry Press
,
Beijing, China
.
3.
Che
,
D.
,
2002
,
Condensation Boiler and Its System
,
China Mechine Press
,
Beijing, China
.
4.
Baehr
,
H. D.
, and
Stephan
,
K.
,
2006
,
Heat and Mass Transfer
,
Springer-Verlag
,
Berlin
.
5.
Nusselt
,
W.
,
1916
, “
Die Oberflachencondensation des Wasserdampfes
,”
Zetrschr. Ver. Deutch. Ing.
,
60
, pp.
541
569
.
6.
Colburn
,
A. P.
, and
Hougen
,
O. A.
,
1934
, “
Design of Cooler Condensers for Mixtures of Vapors With Noncondensing Gases
,”
Ind. Eng. Chem. Res.
,
26
(
11
), pp.
1178
1182
.10.1021/ie50299a011
7.
Henderson
,
C. L.
, and
Marchello
,
J. M.
,
1969
, “
Film Condensation in the Presence of a Noncondensable Gas
,”
ASME J. Heat Transfer
,
91
(
3
), pp.
447
450
.10.1115/1.3580218
8.
Huang
,
J.
,
Zhang
,
J.
, and
Wang
,
L.
,
2015
, “
Review of Vapor Condensation Heat and Mass Transfer in the Presence of Non-Condensable Gas
,”
Appl. Therm. Eng.
,
89
, pp.
469
484
.10.1016/j.applthermaleng.2015.06.040
9.
Da
,
Y.
,
Che
,
D.
,
Zhuang
,
Z.
,
Liu
,
W.
, and
Fang
,
S.
,
2003
, “
An Experimental Study on Forced Convection—Condensation Heat Transfer of the Flue Gas With High Moisture
,”
Ind. Boiler.
,
1
, pp.
12
15
.10.16558/j.cnki.issn1004-8774.2003.01.004
10.
Yang
,
K. S.
,
Lin
,
K. H.
,
Tu
,
C. W.
,
He
,
Y. Z.
, and
Wang
,
C. C.
,
2017
, “
Experimental Investigation of Moist Air Condensation on Hydrophilic, Hydrophobic, Superhydrophilic, and Hybrid Hydrophobic-Hydrophilic Surfaces
,”
Int. J. Heat Mass Transfer
,
115
, pp.
1032
1041
.10.1016/j.ijheatmasstransfer.2017.08.112
11.
Kim
,
K.
, and
Jeong
,
J. H.
,
2019
, “
Steam Condensate Behavior and Heat Transfer Performance on Chromium-Ion-Implanted Metal Surfaces
,”
Int. J. Heat Mass Transfer
,
136
, pp.
681
691
.10.1016/j.ijheatmasstransfer.2019.03.019
12.
Zhang
,
B. J.
,
Kuok
,
C.
,
Kim
,
K. J.
,
Hwang
,
T.
, and
Yoon
,
H.
,
2015
, “
Dropwise Steam Condensation on Various Hydrophobic Surfaces: Polyphenylene Sulfide (PPS), Polytetrafluoroethylene (PTFE), and Self-Assembled Micro/Nano Silver (SAMS)
,”
Int. J. Heat Mass Transfer
,
89
, pp.
353
358
.10.1016/j.ijheatmasstransfer.2015.05.060
13.
Hu
,
H. W.
,
Tang
,
G. H.
, and
Niu
,
D.
,
2015
, “
Experimental Investigation of Condensation Heat Transfer on Hybrid Wettability Finned Tube With Large Amount of Noncondensable Gas
,”
Int. J. Heat Mass Transfer
,
85
, pp.
513
523
.10.1016/j.ijheatmasstransfer.2015.02.006
14.
Sparrow
,
E. M.
, and
Marschall
,
E.
,
1969
, “
Binary Gravity Flow Film Condensation
,”
ASME J. Heat Transfer
,
91
(
2
), pp.
205
211
.10.1115/1.3580129
15.
Osakabe
,
M.
,
Yagi
,
K.
,
Itoh
,
T.
, and
Ohmasa
,
K.
,
2003
, “
Condensation Heat Transfer on Tubes in Actual Flue Gas (Parametric Study for Condensation Behavior
),”
Heat Tran. Asian Res.
,
32
(
2
), pp.
153
166
.10.1002/htj.10079
16.
Peterson
,
P. F.
,
Schrock
,
V. E.
, and
Kageyama
,
T.
,
1993
, “
Diffusion Layer Theory for Turbulent Vapor Condensation With Noncondensable Gases
,”
ASME J. Heat Transfer
,
115
(
4
), pp.
998
1003
.10.1115/1.2911397
17.
Herranz
,
L. E.
,
Munoz-Cobo
,
J. L.
, and
Palomo
,
M. J.
,
2000
, “
Modeling Condensation Heat Transfer on a Horizontal Finned Tube in the Presence of Noncondensable Gases
,”
Nucl. Eng. Des.
,
201
(
2–3
), pp.
273
288
.10.1016/S0029-5493(00)00278-8
18.
Mori
,
Y.
,
Hijikata
,
K.
, and
Utsunomiya
,
K.
,
1977
, “
The Effect of Noncondensable Gas on Film Condensation Along a Vertical Plate in an Enclosed Chamber
,”
ASME J. Heat Transfer
,
99
(
2
), pp.
257
262
.10.1115/1.3450678
19.
Wu
,
T.
,
1993
, “
Calculation of Condensation Heat Transfer in Refrigerators Using Mixed Refrigerants
,”
J. Huazhong Uni. Sci. Technol.
,
21
(
2
), pp.
145
149
.10.13245/j.hust.1993.02.029
20.
Tang
,
G. H.
,
Hu
,
H. W.
,
Zhuang
,
Z. N.
, and
Tao
,
W. Q.
,
2012
, “
Film Condensation Heat Transfer on a Horizontal Tube in Presence of a Noncondensable Gas
,”
Appl. Therm. Eng.
,
36
, pp.
414
425
.10.1016/j.applthermaleng.2011.10.058
21.
Liang
,
Y. B.
,
Che
,
D. F.
, and
Kang
,
Y. B.
,
2007
, “
Effect of Vapor Condensation on Forced Convection Heat Transfer of Moistened Gas
,”
Heat Mass Transfer
,
43
(
7
), pp.
677
686
.10.1007/s00231-006-0148-0
22.
Jang
,
Y. J.
,
Choi
,
D. J.
, and
Lee
,
Y. G.
,
2015
, “
Experimental Study of Condensation Heat Transfer in the Presence of Noncondensable Gas on the Vertical Tube
,”
NURETH-16
,
Chicago, IL
, Aug. 30.
23.
Xu
,
H.
,
Gu
,
H.
, and
Sun
,
Z.
,
2017
, “
Forced Convection Condensation of Steam in the Presence of Multicomponent Noncondensable Gases Inside a Horizontal Tube
,”
Int. J. Heat Mass Transfer
,
104
, pp.
1110
1119
.10.1016/j.ijheatmasstransfer.2016.09.031
24.
Desrayaud
,
G.
, and
Lauriat
,
G.
,
2001
, “
Heat and Mass Transfer Analogy for Condensation of Humid Air in a Vertical Channel
,”
Heat Mass Transfer
,
37
(
1
), pp.
67
76
.10.1007/s002310000133
25.
Yang
,
D.
,
1999
, “
Study on the Heat and Mass Transfer of Flue Gas With Different Coating Layers
,” Ph.D.,
Beijing University of Civil Engineering and Architecture
,
Beijing, China
.
26.
Lv
,
Z.
,
2001
, “
Study on Condensation Heat Transfer and Anti-Corrsion of Gas-Fired Hot Water Boilers
,” Ph.D.,
Beijing University of Civil Engineering and Architecture
,
Beijing, China
.
27.
Wu
,
Y.
,
Wang
,
S.
,
Pan
,
S.
, and
Shi
,
Y.
,
2010
, “
Experimental Study on Performance of Flue Gas Condensing Heat Exchanger With Different Anticorrosive Coatings
,”
Gas Heat
,
30
(
3
), pp.
20
24
.10.3969/j.issn.1000-4416.2010.03.016
28.
Wang
,
S.
, and
Yang
,
D.
,
2001
, “
Heat and Mass Transfer of Flue Gas Flowing Through Fin-Tube Heat Exchangers With Steam Condensation
,”
Conference Heat and Mass Transfer of Flue Gas Flowing Through Fin-Tube Heat Exchangers With Steam Condensation
,
Qinghua University Press
,
Xi'an, China
.
29.
Yang
,
D.
,
Wang
,
S.
,
Ai
,
X.
, and
Fu
,
Z.
,
2000
, “
Heat and Mass Transfer of Flue Gas in Entrance Region Between Two Parallel Plates
,”
Gas Heat.
,
22
(
1
), pp.
19
27
.10.3969/j.issn.1000-4416.2002.01.005
30.
Yang
,
S.
, and
Tao
,
W.
,
2006
,
Heat Transfer
,
Higher Education Press
,
Beijing, China
.
31.
Moffat
,
R. J.
,
1988
, “
Describing the Uncertainties in Experimental Results
,”
Exp. Therm. Fluid Sci.
,
1
(
1
), pp.
3
17
.10.1016/0894-1777(88)90043-X
32.
Shaw
,
B. D.
,
2017
,
Uncertainty Analysis of Experimental Data With R
,
Chapman and Hall/CRC
,
Boca Raton, FL
.
33.
Kang
,
Y.
,
Kim
,
Y. R.
,
Ko
,
M. H.
,
Jin
,
G. T.
,
Son
,
J. E.
, and
Kim
,
S. D.
,
1997
, “
Immersed Heater-to-Bed Heat Transfer in a Pessurized Gas-Solid Fluidized Bed
,”
J. Korean Ins. Chem. Eng.
,
35
, pp.
282
288
.
34.
Shu
,
J. J.
,
2012
, “
Laminar Film Condensation Heat Transfer on a Vertical, Non-Isothermal, Semi-Infinite Plate
,”
Arabian J. Sci. Eng.
,
37
(
6
), p. 1711–1721.10.1007/s13369-012-0272-8
35.
Liu
,
G.
,
Wang
,
C.
,
Ke
,
P.
,
Zhang
,
X.
, and
Yang
,
C.
,
2017
, “
Experimental Research on Heat Transfer and Flow Resistance of In-Tube Condensation of Humid Air
,”
Appl. Therm. Eng.
,
126
, pp.
976
986
.10.1016/j.applthermaleng.2017.08.007
36.
John
,
H.
, and
Lienhard
,
I.
,
2012
,
A Heat Transfer Textbook
, 4th ed.,
Phlogiston Press
,
Cambridge, MA
.
37.
Wu
,
X. M.
,
Li
,
T. L.
,
Li
,
Q. Y.
, and
Chu
,
F. Q.
,
2017
, “
Approximate Equations for Film Condensation in the Presence of Non-Condensable Gases
,”
Int. Commun. Heat Mass Transfer
,
85
, pp.
124
130
.10.1016/j.icheatmasstransfer.2017.05.007
You do not currently have access to this content.