An innovative relationship between the effectiveness (ε) and number of transfer unit (NTU) was presented in this work for indirect evaporative cooler (IEC). This relationship is featured by its simplicity in use and has noniterative procedure to be implemented as the traditional one in the literature. The new model can be implemented in sizing and rating design of the IEC at different Lewis numbers with a reasonable accuracy. General integral equation, which is similar to that of Merkel equation, is developed in this model. The new relationship was verified through comparison with experimental and numerical work reported in the available literature for closed or indirect cooling tower (ICT), as an example of IEC. Additionally, the predicted results of the present model were compared to those obtained from the traditional numerical models at different Lewis numbers. The simulated results from the new model show a satisfactory agreement with those obtained from the experimental work of less than 10%. The new correlations can be implemented easily in predicting the thermal design and performance of IEC in any simulation program or in real site.

References

References
1.
Khamis Mansour
,
M.
, and
Hassab
,
M. A.
,
2016
, “
Novel Lumped Modeling for Determining Thermal Performance of DX Evaporator Under Partially-Wet and Fully-Wet Conditions
,”
Appl. Therm. Eng.
,
98
, pp.
1025
1035
.
2.
Khamis Mansour
,
M.
,
2016
, “
Practical Effectiveness-NTU Model for Cooling and Dehumidifying Coil With Non-Unit Lewis Factor
,”
Appl. Therm. Eng.
,
100
, pp.
1111
1118
.
3.
Riffat
,
S. B.
,
Gan
,
G.
,
Shao
,
L.
, and
Doherty
,
P.
,
2001
, “
Application of CFD to Closed-Wet Cooling Towers
,”
Appl. Therm. Eng.
,
21
(
1
), pp.
79
92
.
4.
Zheng
,
W.-Y.
,
Zhu
,
D.-S.
,
Song
,
J.
,
Zeng
,
L.-D.
, and
Zhou
,
H.-J.
,
2012
, “
Experimental and Computational Analysis of Thermal Performance of the Oval Tube Closed Wet Cooling Tower
,”
Appl. Therm. Eng.
,
35
, pp.
233
239
.
5.
Budihardjo
,
N.
, and
Nugraha
,
M. H.
,
2015
,”
Experimental and Simulation Study on the Performance of Counter Flow Closed Cooling Tower Systems
,”
Int. J. Technol.
,
6
(
3
), pp.
365
379
.
6.
Xia
,
Z. Z.
,
Chen
,
C. J.
, and
Wang
,
R. Z.
,
2011
, “
Numerical Simulation of a Closed Wet Cooling Tower With Novel Design
,”
Int. J. Heat Mass Transfer
,
54
(
11–12
), pp.
2367
2374
.
7.
Qureshi
,
B. A.
, and
Zubair
,
S. M.
,
2006
, “
A Comprehensive Design and Rating Study of Evaporative Coolers and Condensers. Part I. Performance Evaluation
,”
Int. J. Refrig.
,
29
(
4
), pp.
645
658
.
8.
Chengqin
,
R. A.
, and
Hongxing
,
Y.
,
2006
, “
An Analytical Model for the Heat and Mass Transfer Processes in Indirect Evaporative Cooling With Parallel/Counter Flow Configurations
,”
Int. J. Heat and Mass Transfer
,
49
(
3–4
), pp.
617
627
.
9.
Zheng
,
W.-Y.
,
Zhu
,
D.-S.
,
Zhou
,
G.-Y.
,
Wu
,
J.-F.
, and
Shi
,
Y.-Y.
,
2012
, “
Thermal Performance Analysis of Closed Wet Cooling Towers Under Both Unsaturated and Supersaturated Conditions
,”
Int. J. Heat Mass Transfer
,
55
(
25–26
), pp.
7803
7811
.
10.
Jafari Nasr
,
M. R.
, and
Behfar
,
R. A.
,
2010
, “
Novel Design for Evaporative Fluid Coolers
,”
Appl. Therm. Eng.
,
30
(
17–18
), pp.
2746
2752
.
11.
Goodman
,
W.
,
1938
, “Performance of Coils for Dehumidifying Air,” Heating, Piping and Air Conditioning, 10(11), pp.
697
707
.
12.
Threlkeld
,
J. L.
,
1968
,
Thermal Environmental Engineering
,
1st ed.
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
13.
Facao
,
J.
, and
Oliveira
,
A. C.
,
2000
, “
Thermal Behavior of Closed Wet Cooling Towers for Use With Chilled Ceilings
,”
Appl. Therm. Eng.
,
20
(
13
), pp.
1225
1236
.
14.
Facao
,
J.
, and
Oliveira
,
A. C.
,
2004
, “
Heat and Mass Transfer Correlations for the Design of Small Indirect Contact Cooling Towers
,”
Appl. Therm. Eng.
,
24
(
14–15
), pp.
1969
1978
.
15.
Braun
,
J. E.
,
Klein
,
S. A.
, and
Mitchell
,
J. W.
,
1989
, “
Effectiveness Models for Cooling Towers and Cooling Coils
,”
ASHRAE Trans.
,
95
(
2
), pp.
3270
3280
.
16.
Khamis Mansour
,
M.
, and
Hassab
,
M. A.
,
2014
, “
Innovative Correlation for Calculating Thermal Performance of Counterflow Wet-Cooling Tower
,”
Energy
,
74
, pp.
855
862
.
17.
Stabat
,
P.
, and
Marchio
,
D.
,
2004
, “
Simplified Model for Indirect-Contact Evaporative Cooling-Tower Behavior
,”
Appl. Energy
,
78
(
4
), pp.
433
451
.
18.
Hasan
,
A.
,
2012
, “
Going Below the Wet-Bulb Temperature by Indirect Evaporative Cooling: Analysis Using a Modified e-NTU Method
,”
Appl. Energy
,
89
(
1
), pp.
237
245
.
19.
Kim
,
M.-H.
,
Jeong
,
D.-S.
, and
Jeong
,
J.-W.
,
2015
, “
Practical Thermal Performance Correlations for a Wet-Coil Indirect Evaporative Cooler
,”
Energy Build.
,
96
, pp.
285
298
.
20.
Xia
,
Y. P.
, and
Jacobi
,
A. M.
,
2005
, “
Air-Side Data Interpretation and Performance Analysis for Heat Exchangers With Simultaneous Heat and Mass Transfer: Wet and Frosted Surfaces
,”
Int. J. Heat Mass Transfer
,
48
(
25–26
), pp.
5089
5102
.
21.
Xia
,
L.
,
Chan
,
M. Y.
,
Deng
,
S. M.
, and
Xu
,
X. G.
,
2010
, “
Analytical Solutions for Evaluating the Thermal Performances of Wet Air Cooling Coils Under Both Unit and Non-Unit Lewis Factors
,”
Energy Convers. Manage.
,
51
(
10
), pp.
2079
2086
.
22.
Hasan
,
A.
, and
Siren
,
K.
,
2002
, “
Theoretical and Computational Analysis of Closed Wet Cooling Towers and Its Applications in Cooling of Buildings
,”
Energy Build.
,
34
(
5
), pp.
477
486
.
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