Cooling towers are one of the largest heat and mass transfer devices that are in common use. In this paper, we present a detail model of counter flow wet cooling towers. The authenticity of the model is checked by experimental data reported in the literature. The values of number of transfer units (NTU) and tower effectiveness (ε) obtained from the model were compared with the commonly described models. Appreciable difference in NTU and ε values is found if the resistance to heat transfer in the water film and non-unity of Lewis number is considered in the calculations. The results demonstrate that the errors in calculating the tower effectiveness could be as much as 15 percent when considering the effect of air-water interface temperature. A procedure for the use of the model in designing and rating analyses of cooling towers is demonstrated through example problems. The limiting performance of the cooling towers; that is effectiveness equal to one, is explained in terms of air-approach temperature. The model is also used for obtaining the maximum possible mass-flow rate ratio of water-to-air, for different operating conditions.

1.
ASHRAE, 1983, ASHRAE Equipment Guide, chap. 3, American Society of Heating, Refrigerating, and Air-Conditioning Engineers, Inc., Atlanta, GA.
2.
ASHRAE, 1989, ASHRAE Handbook of Fundamentals, American Society of Heating, Refrigerating, and Air-Conditioning Engineers, Inc., Atlanta, GA.
3.
Walker, W. H., Lewis, W. K., McAdams, W. H., and Gilliland, E. R., 1923, Principles of Chemical Engineering, 3rd ed., McGraw-Hill Inc., New York.
4.
Merkel, F., 1925, “Verdunstungshuhlung,” Zeitschrift des Vereines Deutscher Ingenieure (V.D.I.), 70, pp. 123–128.
5.
Webb
,
R. L.
,
1984
, “
A Unified Theoretical Treatment for Thermal Analysis of Cooling Towers, Evaporative Condensers, and Fluid Coolers
,”
ASHRAE Trans.
,
90
, No.
2
, pp.
398
415
.
6.
Webb
,
R. L.
, and
Villacres
,
A.
,
1984
, “
Algorithms for Performance Simulation of Cooling Towers, Evaporative Condensers, and Fluid Coolers
,”
ASHRAE Trans.
,
90
, No.
2
, pp.
416
458
.
7.
Jaber
,
H.
, and
Webb
,
R. L.
,
1989
, “
Design of Cooling Towers by the Effectiveness-NTU Method
,”
ASME J. Heat Transfer
,
111
, No.
4
, pp.
837
843
.
8.
Braun
,
J. E.
,
Klein
,
S. A.
, and
Mitchell
,
J. W.
,
1989
, “
Effectiveness Models for Cooling Towers and Cooling Coils
,”
ASHRAE Trans.
,
95
, No.
2
, pp.
164
174
.
9.
El-Dessouky
,
H. T. A.
,
Al-Haddad
,
A.
, and
Al-Juwayhel
,
F.
,
1997
, “
A Modified Analysis of Counter flow Cooling Towers
,”
ASME J. Heat Transfer
,
119
, No.
3
, pp.
617
626
.
10.
Hyland
,
R. W.
, and
Wexler
,
A.
,
1983
, “
Formulations for the Thermodynamic Properties of the Saturated Phases of H2O from 173.15 to 473.15 K
,”
ASHRAE Trans.
,
89
, No.
2
, pp.
500
519
.
11.
Hyland
,
R. W.
, and
Wexler
,
A.
,
1983
, “
Formulations for the Thermodynamic Properties of Dry Air from 173.15 to 473.15 K, and of Saturated Moist Air from 173.15 to 372.15 K, at Pressure to 5 MPa
,”
ASHRAE Trans.
,
89
, No.
2
, pp.
520
535
.
12.
Myers, R. J., 1967, “The Effect of Dehumidification on the Air Side Heat Transfer Coefficient for a Finned-Tube Coil,” M.Sc. thesis, University of Minnesota, Minneapolis, MN.
13.
Threlkeld, J. L., 1972, Thermal Environmental Engineering, 2nd ed. Prentice-Hall Inc., New Jersey.
14.
Kuehn, T. H., Ramsey, J. W., and Threlkeld, J. L. 1998, Thermal Environmental Engineering, 3rd ed. Prentice-Hall Inc., New Jersey.
15.
Simpson, W. M., and Sherwood, T. K., 1946, “Performance of Small Mechanical Draft Cooling Towers,” Refrigerating Engineering, 52(6), pp. 525–543 and 574–576.
16.
Baker
,
D. R.
, and
Shryock
,
H. A.
,
1961
, “
A Comprehensive Approach to the Analysis of Cooling Tower Performance
,”
Trans. ASME
,
83
, pp.
339
349
.
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