Abstract

This research paper presents a comparative study dealing with entropy generation analysis in Cartesian and cylindrical annulus geometries. This numerical investigation involves heat and mass transfer coupled with forced convection and gas radiation in a semitransparent medium during the evaporation of a thin liquid film. The systems of equations are solved with interfacial and boundary conditions using an implicit finite volume method by the tridiagonal matrix algorithm method. The radiative transfer equation (RTE) was solved by the Ray tracing model. The statistical narrow band correlated-K model with the updated model parameters was applied to calculate the gas transmissivity. The main intent of this paper is to compare the entropy generation components in two different configurations. The result shows that the entropy generation related to heat and mass transfer in the channel is higher than that estimated for the cylindrical annulus. Regarding optimal design selection, the entropy generation analysis, detailed in this paper, suggests a preference for the cylindrical annulus geometry. Our results may guide designers to select from the studied configuration.

References

1.
Chang
,
C. J.
,
Lin
,
T. F.
, and
Yan
,
W. M.
,
1986
, “
Natural Convection Flows in a Vertical, Open Tube Resulting From Combined Buoyancy Effects of Thermal and Mass Diffusion
,”
Int. J. Heat Mass Transfer
,
29
(
10
), pp.
1543
1552
.10.1016/0017-9310(86)90069-4
2.
Yan
,
W.-M.
, and
Lin
,
D.
,
2001
, “
Natural Convection Heat and Mass Transfer in Vertical Annuli With Film Evaporation and Condensation
,”
Int. J. Heat Mass Transfer
,
44
(
6
), pp.
1143
1151
.10.1016/S0017-9310(00)00176-9
3.
Ben Radhia
,
R.
,
Corriou
,
J. P.
,
Harmand
,
S.
, and
Ben Jabrallah
,
S.
,
2011
, “
Numerical Study of Evaporation in a Vertical Annulus Heated at the Inner Wall
,”
Int. J. Therm. Sci.
,
50
(
10
), pp.
1996
2005
.10.1016/j.ijthermalsci.2011.03.007
4.
Ben Radhia
,
R.
,
Harmand
,
S.
,
Corriou
,
J. P.
, and
Ben Jabrallah
,
S.
,
2014
, “
Liquid Film Evaporation Enhancement in a Vertical Annulus With Preheated Air Flow
,”
Desalin. Water Treat.
,
52
(
7–9
), pp.
1654
1661
.10.1080/19443994.2013.806999
5.
Wei-Mon
,
Y.
, and
Hsin-chuen
,
t.
,
1991
, “
Mixed Convection Heat and Mass Transfer in Vertical Annuli With Asymmetric Heating
,”
Int. J. Heat Mass Transfer
,
34
(
4–5
), pp.
1309
1313
.10.1016/0017-9310(91)90039-H
6.
Armouzi
,
M. E.
,
Chesneau
,
X.
, and
Zeghmati
,
B.
,
2005
, “
Numerical Study of Evaporation by Mixed Convection of a Binary Liquid Film Flowing Down the Wall of Two Coaxial Cylinders
,”
Heat Mass Transfer
,
41
(
4
), pp.
375
386
.10.1007/s00231-004-0536-2
7.
Debbissi
,
C.
,
Orfi
,
J.
, and
Nasrallah
,
S. B.
,
2001
, “
Evaporation of Water by Free Convection in a Vertical Channel Including Effects of Wall Radiative Properties
,”
Int. J. Heat Mass Transfer
,
44
(
4
), pp.
811
826
.10.1016/S0017-9310(00)00125-3
8.
Flesch
,
J.
,
Marocco
,
L.
,
Fritsch
,
A.
,
Niedermeier
,
K.
, and
Wetzel
,
T.
,
2020
, “
Entropy Generation Minimization Analysis of Solar Salt, Sodium, and Lead–Bismuth Eutectic as High Temperature Heat Transfer Fluids
,”
ASME J. Heat Transfer-Trans. ASME
,
142
(
4
), p.
042103
.10.1115/1.4046302
9.
Yan
,
W. M.
,
Lin
,
T. F.
, and
Tsay
,
Y. L.
,
1991
, “
Evaporative Cooling of Liquid Film Through Interfacial Heat and Mass Transfer in a Vertical Channel—I: Experimental Study
,”
Int. J. Heat Mass Transfer
,
34
(
4–5
), pp.
1105
1111
.10.1016/0017-9310(91)90020-F
10.
Feddaoui
,
M.
,
Mir
,
A.
, and
Belahmidi
,
E.
,
2003
, “
Cocurrent Turbulent Mixed Convection Heat and Mass Transfer in Falling Film of Water Inside a Vertical Heated Tube
,”
Int. J. Heat Mass Transfer
,
46
(
18
), pp.
3497
3509
.10.1016/S0017-9310(03)00129-7
11.
Van
,
W. M.
, and
Lin
,
T. F.
,
1990
, “
Combined Heat and Mass Transfer in Natural Convection Between Vertical Parallel Plates With Film Evaporation
,”
Int. J. Heat Mass Transfer
,
33
(
3
), pp.
529
541
.10.1016/0017-9310(90)90187-Y
12.
Mezaache
,
E. H.
, and
Daguenet
,
M.
,
2000
, “
Etude Numérique De L'évaporation Dans Un Courant D'air Humide Laminaire Et Turbulent D'un Film D'eau Ruisselant Sur Une Plaque Inclinée
,”
Can. J. Chem. Eng.
,
78
(
5
), pp.
994
1005
.10.1002/cjce.5450780517
13.
Mezaache
,
E.
, and
Daguenet
,
M.
,
2005
, “
Effects of Inlet Conditions on Film Evaporation Along an Inclined Plate
,”
Sol. Energy
,
78
(
4
), pp.
535
542
.10.1016/j.solener.2004.04.007
14.
Oulaid
,
O.
,
Benhamou
,
B.
, and
Galanis
,
N.
,
2010
, “
Combined Buoyancy Effects of Thermal and Mass Diffusion on Laminar Convection in a Vertical Isothermal Channel
,”
CTS
,
2
(
2
), pp.
1479
1488
.
15.
Min
,
J.
, and
Tang
,
Y.
,
2015
, “
Theoretical Analysis of Water Film Evaporation Characteristics on an Adiabatic Solid Wall
,”
Int. J. Refrig.
,
53
(
C
), pp.
55
61
.10.1016/j.ijrefrig.2015.02.002
16.
Wan
,
Y.
,
Ren
,
C.
,
Yang
,
Y.
, and
Xing
,
L.
,
2017
, “
Study on Average Nusselt and Sherwood Numbers in Vertical Plate Channels With Falling Water Film Evaporation
,”
Int. J. Heat Mass Transfer
,
110
(
C
), pp.
783
788
.10.1016/j.ijheatmasstransfer.2017.03.087
17.
Yadav
,
U.
, and
Agrawal
,
A.
,
2021
, “
Analysis of Burnett Stresses and Entropy Generation for Pressure-Driven Plane Poiseuille Flow
,”
ASME J. Heat Transfer-Trans. ASME
,
143
(
3
), p.
032102
.10.1115/1.4048969
18.
Yan
,
W. M.
,
Tsay
,
Y. L.
, and
Lin
,
T. F.
,
1989
, “
Simultaneous Heat and Mass Transfer in Laminar Mixed Convection Flows Between Vertical Parallel Plates With Asymmetric Heating
,”
Int. J. Heat Fluid Flow
,
10
(
3
), pp.
262
269
.10.1016/0142-727X(89)90045-3
19.
Yan
,
W. M.
, and
Lin
,
T. F.
,
1991
, “
Evaporative Cooling of Liquid Film Through Interfacial Heat and Mass Transfer in a Vertical Channel—II. Numerical Study
,”
Int. J. Heat Mass Transfer
,
34
(
4–5
), pp.
1113
1124
.10.1016/0017-9310(91)90021-6
20.
Yan
,
W.-M.
,
1995
, “
Effects of Film Vaporization on Turbulent Mixed Convection Heat and Mass Transfer in a Vertical Channel
,”
Int. J. Heat Mass Transfer
,
38
(
4
), pp.
713
722
.10.1016/0017-9310(94)00189-3
21.
Lin
,
T. F.
,
Chang
,
C. J.
, and
Yan
,
W. M.
,
1988
, “
Analysis of Combined Buoyancy Effects of Thermal and Mass Diffusion on Laminar Forced Convection Heat Transfer in a Vertical Tube
,”
ASME J. Heat Transfer-Trans. ASME
,
110
(
2
), pp.
337
344
.10.1115/1.3250489
22.
Hammou
,
Z. A.
,
Benhamou
,
B.
,
Galanis
,
N.
, and
Orfi
,
J.
,
2004
, “
Laminar Mixed Convection of Humid Air in a Vertical Channel With Evaporation or Condensation at the Wall
,”
Int. J. Therm. Sci.
,
43
(
6
), pp.
531
539
.10.1016/j.ijthermalsci.2003.10.010
23.
Fedorov
,
A. G.
,
Viskanta
,
R.
, and
Mohamad
,
A. A.
,
1997
, “
Turbulent Heat and Mass Transfer in an Asymmetrically Heated, Vertical Parallel-Plate Channel
,”
Int. J. Heat Fluid Flow
,
18
(
3
), pp.
307
315
.10.1016/S0142-727X(97)00010-6
24.
Zheng
,
Z.
,
Zhou
,
L.
,
Du
,
X.
, and
Yang
,
Y.
,
2016
, “
Numerical Investigation on Conjugate Heat Transfer of Evaporating Thin Film in a Sessile Droplet
,”
Int. J. Heat Mass Transfer
,
101
, pp.
10
19
.10.1016/j.ijheatmasstransfer.2016.05.005
25.
Srinivasan
,
S.
,
Das
,
S. R.
, and
Balasubramanian
,
G.
,
2019
, “
Transient Evaporation of Water Thin Film Over Nanostructured Graphene
,”
Appl. Surf. Sci.
,
495
, p.
143545
.10.1016/j.apsusc.2019.143545
26.
He
,
H.
,
Pan
,
L.
,
Huang
,
H.
, and
Yan
,
R.
,
2018
, “
Rupture of Thin Liquid Film Based Premature Critical Heat Flux Prediction in Microchannel
,”
Int. J. Heat Mass Transfer
,
125
, pp.
933
942
.10.1016/j.ijheatmasstransfer.2018.04.154
27.
Bukhvostova
,
A.
,
Kuerten
,
J. G. M.
, and
Geurts
,
B. J.
,
2016
, “
Heat Transfer in Droplet-Laden Turbulent Channel Flow With Phase Transition in the Presence of a Thin Film of Water
,”
Int. J. Heat Fluid Flow
,
61
, pp.
256
271
.10.1016/j.ijheatfluidflow.2016.04.007
28.
Vaartstra
,
G.
,
Lu
,
Z.
, and
Wang
,
E. N.
,
2019
, “
Simultaneous Prediction of Dryout Heat Flux and Local Temperature for Thin Film Evaporation in Micropillar Wicks
,”
Int. J. Heat Mass Transfer
,
136
, pp.
170
177
.10.1016/j.ijheatmasstransfer.2019.02.074
29.
Nasr
,
A.
,
2018
, “
Heat and Mass Transfer for Liquid Film Condensation Along a Vertical Channel Covered With a Thin Porous Layer
,”
Int. J. Therm. Sci.
,
124
, pp.
288
299
.10.1016/j.ijthermalsci.2017.10.016
30.
Yang
,
J. C.
, and
Yuen
,
W. W.
,
2018
, “
Heat Transfer in a Falling Laminar Liquid Film With in-Depth Radiation Absorption
,”
Int. Commun. Heat Mass Transfer
,
94
, pp.
47
52
.10.1016/j.icheatmasstransfer.2018.03.009
31.
Liu
,
Q.
, and
Sun
,
X.
,
2020
, “
Wall Heat Transfer in the Inverted Annular Film Boiling Regime
,”
Nucl. Eng. Des.
,
363
, p.
110660
.10.1016/j.nucengdes.2020.110660
32.
Lev
,
Y.
, and
Strachan
,
D. C.
,
1989
, “
A Study of Cooling Water Requirements for the Protection of Metal Surfaces Against Thermal Radiation
,”
Fire Technol.
,
25
(
3
), pp.
213
229
.10.1007/BF01039779
33.
Wu
,
C.-W.
, and
Lin
,
T.-H.
,
2007
, “
Full-Scale Evaluations on Heat Resistance of Glass Panes Incorporated With Water Film or Sprinkler in a Room Fire
,”
Build. Environ.
,
42
(
9
), pp.
3277
3284
.10.1016/j.buildenv.2006.08.017
34.
Boukadida
,
N.
, and
Ben Nasrallah
,
S.
,
2001
, “
Mass and Heat Transfer During Water Evaporation in Laminar Flow Inside a Rectangular Channel—Validity of Heat and Mass Transfer Analogy
,”
Int. J. Therm. Sci.
,
40
(
1
), pp.
67
81
.10.1016/S1290-0729(00)01181-9
35.
Gouy
,
1889
, “
Sur L'énergie Utilisable
,”
J. Phys. Theor. Appl.
,
8
(
1
), pp.
501
518
.10.1051/jphystap:018890080050101
36.
Lucia
,
U.
,
2012
, “
Gouy-Stodola Theorem as a Variational Principle for Open Systems
,” arXiv:1208.0177, [math-ph, physics:physics].
37.
Bejan
,
A.
,
1995
,
Entropy Generation Minimization: The Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes
,
CRC Press
, Boca Raton, FL.
38.
Bejan
,
A.
,
1982
,
Entropy Generation Through Heat and Fluid Flow
,
Wiley
, Hoboken, NJ.
39.
Torabi
,
M.
,
Zhang
,
K.
,
Karimi
,
N.
, and
Peterson
,
G. P.
,
2016
, “
Entropy Generation in Thermal Systems With Solid Structures – A Concise Review
,”
Int. J. Heat Mass Transfer
,
97
(
C
), pp.
917
931
.10.1016/j.ijheatmasstransfer.2016.03.007
40.
Nazari
,
M.
,
Jalali Vahid
,
D.
,
Saray
,
R. K.
, and
Mahmoudi
,
Y.
,
2017
, “
Experimental Investigation of Heat Transfer and Second Law Analysis in a Pebble Bed Channel With Internal Heat Generation
,”
Int. J. Heat Mass Transfer
,
114
, pp.
688
702
.10.1016/j.ijheatmasstransfer.2017.06.079
41.
Selamet
,
A.
, and
Arpaci
,
V. S.
,
1990
, “
Entropy Production in Boundary Layers
,”
J. Thermophys. Heat Transfer
,
4
(
3
), pp.
404
407
.10.2514/3.197
42.
Caldas
,
M.
, and
Semiao
,
V.
,
2005
, “
Entropy Generation Through Radiative Transfer in Participating Media: Analysis and Numerical Computation
,”
J. Quant. Spectrosc. Radiat. Transfer
,
96
(
3–4
), pp.
423
437
.10.1016/j.jqsrt.2004.11.008
43.
Liu
,
L. H.
, and
Chu
,
S. X.
,
2007
, “
Verification of Numerical Simulation Method for Entropy Generation of Radiation Heat Transfer in Semitransparent Medium
,”
J. Quant. Spectrosc. Radiat. Transfer
,
103
(
1
), pp.
43
56
.10.1016/j.jqsrt.2006.07.004
44.
Sciacovelli
,
A.
,
Verda
,
V.
, and
Sciubba
,
E.
,
2015
, “
Entropy Generation Analysis as a Design Tool—A Review
,”
Renewable Sustainable Energy Rev.
,
43
, pp.
1167
1181
.10.1016/j.rser.2014.11.104
45.
Ko
,
T. H.
, and
Ting
,
K.
,
2006
, “
Entropy Generation and Optimal Analysis for Laminar Forced Convection in Curved Rectangular Ducts: A Numerical Study
,”
Int. J. Therm. Sci.
,
45
(
2
), pp.
138
150
.10.1016/j.ijthermalsci.2005.01.010
46.
Ko
,
T. H.
, and
Cheng
,
C. S.
,
2007
, “
Numerical Investigation on Developing Laminar Forced Convection and Entropy Generation in a Wavy Channel
,”
Int. Commun. Heat Mass Transfer
,
34
(
8
), pp.
924
933
.10.1016/j.icheatmasstransfer.2007.05.021
47.
Ko
,
T.-H.
,
2007
, “
Effects of Corrugation Angle on Developing Laminar Forced Convection and Entropy Generation in a Wavy Channel
,”
Heat Mass Transfer
,
44
(
2
), pp.
261
271
.10.1007/s00231-007-0243-x
48.
Mahmud
,
S.
, and
Fraser
,
R. A.
,
2003
, “
The Second Law Analysis in Fundamental Convective Heat Transfer Problems
,”
Int. J. Therm. Sci.
,
42
(
2
), pp.
177
186
.10.1016/S1290-0729(02)00017-0
49.
San
,
J. Y.
,
Worek
,
W. M.
, and
Lavan
,
Z.
,
1987
, “
Entropy Generation in Convective Heat Transfer and Isothermal Convective Mass Transfer
,”
ASME J. Heat Transfer-Trans. ASME
,
109
(
3
), pp.
647
652
.10.1115/1.3248137
50.
Shojaeian
,
M.
, and
Koşar
,
A.
,
2014
, “
Convective Heat Transfer and Entropy Generation Analysis on Newtonian and Non-Newtonian Fluid Flows Between Parallel-Plates Under Slip Boundary Conditions
,”
Int. J. Heat Mass Transfer
,
70
, pp.
664
673
.10.1016/j.ijheatmasstransfer.2013.11.020
51.
Zamzari
,
F.
,
Mehrez
,
Z.
,
El Cafsi
,
A.
,
Belghith
,
A.
, and
Le Quéré
,
P.
,
2017
, “
Numerical Investigation of Entropy Generation and Heat Transfer of Pulsating Flow in a Horizontal Channel With an Open Cavity
,”
J. Hydrodyn., Ser. B
,
29
(
4
), pp.
632
646
.10.1016/S1001-6058(16)60776-X
52.
Chu
,
S. X.
, and
Liu
,
L. H.
,
2009
, “
Entropy Generation Analysis of Two-Dimensional High-Temperature Confined Jet
,”
Int. J. Therm. Sci.
,
48
(
5
), pp.
998
1006
.10.1016/j.ijthermalsci.2008.07.001
53.
Agudelo
,
A.
, and
Cortés
,
C.
,
2010
, “
Thermal Radiation and the Second Law
,”
Energy
,
35
(
2
), pp.
679
691
.10.1016/j.energy.2009.10.024
54.
Makhanlall
,
D.
,
Munda
,
J. L.
, and
Jiang
,
P.
,
2013
, “
Entropy Generation in a Solar Collector Filled With a Radiative Participating Gas
,”
Energy
,
60
, pp.
511
516
.10.1016/j.energy.2013.08.043
55.
Tsay
,
Y. L.
,
Lin
,
T. F.
, and
Yan
,
W. M.
,
1990
, “
Cooling of a Falling Liquid Film Through Interfacial Heat and Mass Transfer
,”
Int. J. Multiphase Flow
,
16
(
5
), pp.
853
865
.10.1016/0301-9322(90)90008-7
56.
Siow
,
E. C.
,
Ormiston
,
S. J.
, and
Soliman
,
H. M.
,
2004
, “
A Two-Phase Model for Laminar Film Condensation From Steam-Air Mixtures in Vertical Parallel-Plate Channels
,”
Heat Mass Transfer
,
40
(
5
), pp.
365
375
.10.1007/s00231-003-0425-0
57.
Hfaiedh
,
C. D.
,
Nasr
,
A.
, and
Ben Nasrallah
,
S.
,
2013
, “
Evaporation of a Binary Liquid Film Flowing Down the Wall of Two Vertical Plates
,”
Int. J. Therm. Sci.
,
72
, pp.
34
46
.10.1016/j.ijthermalsci.2013.05.005
58.
Oulaid
,
O.
, and
Galanis
,
N.
,
2008
,
Combined Buoyancy Effects of Thermal and Mass Diffusion on Laminar Convection in a Vertical Isothermal Channel
,
Begel House
, Danbury, CT.
59.
Nasr
,
A.
,
Debbissi
,
C.
, and
Ben Nasrallah
,
S.
,
2012
, “
Numerical Study of Evaporation of Liquid Film by Mixed Convection in Partially Wetted Vertical Channel
,”
Desalin. Water Treat.
,
46
(
1–3
), pp.
10
20
.10.1080/19443994.2012.677406
60.
Gebhart
,
B.
, and
Pera
,
L.
,
1971
, “
The Nature of Vertical Natural Convection Flows Resulting From the Combined Buoyancy Effects of Thermal and Mass Diffusion
,”
Int. J. Heat Mass Transfer
,
14
(
12
), pp.
2025
2050
.10.1016/0017-9310(71)90026-3
61.
Cherif
,
A. A.
, and
Daı¨f
,
A.
,
1999
, “
Etude Numérique Du Transfert Dechaleur Et De Masse Entre Deux Plaques Planes Verticalesen Présence Dun Film De Liquide Binaireruisselant Sur Lune Des Plaques Chauffée
,”
Int. J. Heat Mass Transfer
,
42
(
13
), pp.
2399
2418
.10.1016/S0017-9310(98)00339-1
62.
Sakly
,
A.
,
Mazgar
,
A.
,
Slimi
,
K.
, and
Ben Nejma
,
F.
,
2015
, “
Thermal Radiation Contribution on Humidification Process in a Cylindrical Annular Duct
,”
High Temp. High Press.
,
44
(
3
), pp.
163
186
.
63.
Sakly
,
A.
,
Mazgar
,
A.
,
Farhat
,
H.
, and
Nejma
,
F. B.
,
2017
, “
Unsteady Evaporation and Entropy Generation in a Couette Flow
,”
Adv. Mech. Eng.
,
9
(
2
), epub.10.1177/1687814017692782
64.
Sakly
,
A.
, and
Ben Nejma
,
F.
,
2020
, “
Heat and Mass Transfer of Combined Forced Convection and Thermal Radiation Within a Channel: Entropy Generation Analysis
,”
Appl. Therm. Eng.
,
171
, p.
114903
.10.1016/j.applthermaleng.2020.114903
65.
Ben Nejma
,
F.
,
Mazgar
,
A.
,
Abdallah
,
N.
, and
Charrada
,
K.
,
2008
, “
Entropy Generation Through Combined Non-Grey Gas Radiation and Forced Convection Between Two Parallel Plates
,”
Energy
,
33
(
7
), pp.
1169
1178
.10.1016/j.energy.2008.02.004
66.
Carlson
,
B. G.
,
1971
, “
Tables of Equal Weight Quadrature Eqn Over the Unit Sphere
,”
Los Alamos Scientific Laboratory of the University of California
.
67.
Fiveland
,
W. A.
,
1984
, “
Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures
,”
ASME J. Heat Transfer-Trans. ASME
,
106
(
4
), pp.
699
706
.10.1115/1.3246741
68.
Goutiere
,
V.
,
Liu
,
F.
, and
Charette
,
A.
,
2000
, “
An Assessment of Real-Gas Modelling in 2D Enclosures
,”
J. Quant. Spectrosc. Radiat. Transfer
,
64
(
3
), pp.
299
326
.10.1016/S0022-4073(99)00102-8
69.
Malkmus
,
W.
,
1967
, “
Random Lorentz Band Model With Exponential-Tailed Ŝ−1 Line-Intensity Distribution Function*
,”
J. Opt. Soc. Am.
,
57
(
3
), p.
323
.10.1364/JOSA.57.000323
70.
Ludwig
,
C. B.
,
Malkmus
,
W.
,
Reardon
,
J. E.
,
Thomson
,
J. A. L.
, and
Goulard
,
R.
,
1973
,
Handbook of Infrared Radiation from Combustion Gases
, NTRS - NASA Technical Reports Server.
71.
Domoto
,
G. A.
,
1974
, “
Frequency Integration for Radiative Transfer Problems Involving Homogeneous Non-Gray Gases: The Inverse Transmission Function
,”
J. Quant. Spectrosc. Radiat. Transfer
,
14
(
9
), pp.
935
942
.10.1016/0022-4073(74)90020-X
72.
Lacis
,
A. A.
, and
Oinas
,
V.
,
1991
, “
A Description of the Correlated k Distribution Method for Modeling Nongray Gaseous Absorption, Thermal Emission, and Multiple Scattering in Vertically Inhomogeneous Atmospheres
,”
J. Geophys. Res.
,
96
(
D5
), pp.
9027
9063
.10.1029/90JD01945
73.
Liu
,
F.
,
Smallwood
,
G. J.
, and
Gülder
,
Ö. L.
,
2001
, “
Application of the Statistical Narrow-Band Correlated-k Method to Non-Grey Gas Radiation in CO2–H2O Mixtures: Approximate Treatments of Overlapping Bands
,”
J. Quant. Spectrosc. Radiat. Transfer
,
68
(
4
), pp.
401
417
.10.1016/S0022-4073(00)00033-9
74.
Hevert
,
H. W.
, and
Hevert
,
S. C.
,
1980
, “
Second Law Analysis: An Alternative Indicator of System Efficiency
,”
Energy
,
5
(
8–9
), pp.
865
873
.
75.
Bird
,
R. B.
,
Stewart
,
W. E.
, and
Lightfoot
,
E. N.
,
2007
,
Transport Phenomena
,
Wiley
, Hoboken, NJ.
76.
Taine
,
J.
, and
Petit
,
J.-P.
,
1998
,
Transferts Thermiques: Mécanique Des Fluides Anisothermes
,
Dunod
, France.
77.
Sakly
,
A.
,
Mazgar
,
A.
, and
Nejma
,
F. B.
,
2017
, “
Second Law Analysis of Simultaneous Heat and Mass Transfer Through Non-Grey Gas Radiation Within a Cylindrical Annulus
,”
Int. J. Exergy
,
24
(
2/3/4
), p.
254
.10.1504/IJEX.2017.10008602
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