An optimization for the geometrical parameters of continuous fins on an array of tubes of a refrigeration evaporator is developed in this paper using the exergy method. The method is based on exergy, economic analysis, and optimization theory. As there are humid air and refrigerant single- and two-phase streams involved in the heat transfer process, then there are irreversibilities or exergy destruction, due to pressure losses İΔP, due to temperature difference İΔT and due to specific humidity gradient İΔω. These principal components of total irreversibility are not independent, and their relative contribution to total irreversibility of a cross-flow refrigeration evaporator is investigated. A change in geometry was obtained by varying the evaporator tube diameter for a selected evaporator capacity, and hence the evaporator tube length and total heat transfer area are calculated for a fixed evaporator face length. In this way, the effect of changes in the geometry on the total number of exergy destruction units of the heat exchange process is investigated. The optimum balance between the three components of irreversibility (İΔP,İΔT, and İΔω) is also determined, thereby giving the optimum solution for the heat exchanger area. The total cost function, which provides a measure of the contribution of the evaporator to the total cost of the refrigeration system, is expressed on the basis of annual capital and electrical energy costs. The total cost function is minimized with respect to the total heat transfer area and the total number of exergy destruction units (NI). The relationship between the operational variables, heat transfer area, refrigerant and air irreversibilities, and the total annual cost for this type of evaporator are developed, presented, and discussed. The pressure, temperature, and specific humidity irreversibilities are found to be 30.34%, 33.78%, and 35.88%, respectively, of the total irreversibility, which is 8.5% of the evaporator capacity.

1.
Bejan
,
A.
, 1997,
Advanced Engineering Thermodynamics
,
John Wiley
, New York.
2.
Bejan
,
A.
, 1987, “
The Thermodynamic Design of Heat Transfer
,”
Proceedings of the Fourth Int. Symposium on Second Law Analysis of Thermal Systems
, Rome, Italy, ASME, New York, pp.
1
15
.
3.
Ranasinghe
,
J.
Aceves-Saborio
,
S.
, and
Reistad
,
G. M.
, 1987, “
Optimisation of Heat Exchangers in Energy Conversion Systems
,”
Proceedings of the Fourth Int. Symposium on Second Law Analysis of Thermal Systems
, Rome, Italy, ASME, New York, pp.
29
38
.
4.
Rosen
,
M. A.
, and
Dincer
,
I.
, 2003, “
Thermoeconomic Analysis of Power Plants: An Application to a Coal Fired Electrical Generating Station
,”
Energy Convers. Manage.
0196-8904,
44
(
17
), pp.
2743
2761
.
5.
Rosen
,
M. A.
, and
Dincer
,
I.
, 2003, “
Exergoeconomic Analysis of Power Plants Operating on Various Fuels
,”
Appl. Therm. Eng.
1359-4311,
23
(
6
), pp.
643
658
.
6.
Kotas
,
T. J.
,
Jassim
,
R. K.
, and
Cheung
,
C. F.
, 1991, “
Application of Thermoeconomic Techniques to the Optimisation of a Rotary Regenerator
,”
Int. J. Energy Environ. Economics
,
1
(
2
), pp.
137
145
.
7.
Jassim
,
R. K.
, and
Mohammed Ali
,
A. K.
, 2003, “
Computer Simulation of Thermoeconomic, Optimization of Periodic-Flow Heat Exchangers
,”
IMechE Conf. Trans. J. Power Energy
,
217
(
5
), pp.
559
570
.
8.
Jassim
,
R. K.
, 2003, “
Evaluation of Combined Heat and Mass Transfer Effect on the Thermoeconomic Optimisation of an Air-Conditioning Rotary Regenerator
,”
ASME J. Heat Transfer
0022-1481,
125
(
4
), pp.
724
733
.
9.
Jassim
,
R. K.
,
Khir
,
T.
, and
Ghaffour
,
N.
, 2006, “
Thermoeconomic Optimization of the Geometry of an Air Conditioning Precooling Air Reheater Dehumidifier
,”
Int. J. Energy Res.
0363-907X,
30
, pp.
237
258
.
10.
Can
,
A.
,
Buyruk
,
E.
, and
Eryener
,
D.
, 2002, “
Exergoeconomic Analysis of Condenser Type Heat Exchangers
,”
Exergy, An. Int. J.
,
2
(
2
), pp.
113
118
.
11.
Dentice d’Accadia
,
M.
, and
Vanoli
,
L.
, 2004, “
Thermoeconomic Optimisation of the Condenser in a Vapour Compression Heat Pump
,”
Int. J. Refrig.
0140-7007,
27
, pp.
433
441
.
12.
Jassim
,
R. K.
,
Khir
,
T.
,
Habeebullah
,
B. A.
, and
Zaki
,
G. M.
, 2005, “
Exergoeconomic Optimization of the Geometry of Continuous Fins on an Array of Tubes of a Refrigeration Air Cooled Condenser
,”
Int. J. Exergy
,
2
(
2
), pp.
146
171
.
13.
Jassim
,
R. K.
,
Habeebullah
,
B. A.
,
Zaki
,
G. M.
, and
Khir
,
T.
, 2004, “
Exergy Analysis of Optimization of an Ice Thermal Energy Storage Refrigeration Cycle
,”
IMEC04
, Kuwait, Paper No. 2001, pp.
1
18
.
14.
Tapia
,
C. F.
, and
Moran
,
M. J.
, 1986, “
Computer-Aided Design and Optimization of Heat Exchangers
,”
Computer-Aided Engineering of Energy Systems
,
ASME
, New York, Vol.
1
, pp.
93
103
.
15.
Kotas
,
T. J.
, 1995, “
The Exergy Method of Thermal Plant Analysis
,”
Krieger
, Malabar, FL (reprinted).
16.
Klein
,
K. A.
, and
Alvarado
,
F. L.
, 2004, “
EES-Engineering Equation Solver
,” Version 6.648 ND, F-Chart Software, Middleton, WI.
17.
Moran
,
M. J.
, 1989,
Availability Analysis
,
ASME Press
, New York.
18.
Bejan
,
A.
,
Tsatsaronis
,
G.
, and
Moran
,
M.
, 1996,
Thermal Design and Optimization
,
John Wiley
, New York.
19.
Dukler
,
A. E.
,
Wicks
,
M.
, and
Cleveland
,
R. G.
, 1964, “
Frictional Pressure Drop in Two-Phase Flow: An Approach Through Similarity Analysis
,”
AIChE J.
0001-1541,
10
, pp.
44
51
.
20.
ASHRAE
, 2001,
Fundamentals Handbook
, SI edition, pp.
4.1
4.10
.
21.
Incropera
,
F. P.
, and
DeWitt
,
D. P.
, 2001,
Fundamentals of Heat and Mass Transfer
,
5th ed.
,
John Wiley
, New York.
22.
Holman
,
J. P.
, 2002,
Heat Transfer
,
9th ed.
,
McGraw-Hill
, New York.
23.
McQuiston
,
F. C.
,
Parker
,
J. D.
, and
Spilter
,
J. D.
, 2005,
Heating, Ventilating, and Air Conditioning: Design and Analysis
,
6th ed.
,
John Wiley
, New York.
24.
Chen
,
J. C.
, 1966, “
Correlation for Boiling Heat Transfer to Saturated Fluids in Convective Flow
,”
Ind. Eng. Chem. Process Des. Dev.
0196-4305,
5
(
3
), pp.
322
329
.
25.
Takamatsu
,
H.
,
Momoki
,
S.
, and
Fujii
,
T.
, 1993, “
A Correlation for Forced Convective Boiling Heat Transfer of Pure Refrigerant in a Horizontal Smooth Tube
,”
ASME J. Heat Transfer
0022-1481,
36
(
13
), pp.
3351
3360
.
26.
Yu
,
M.-H.
,
Lin
,
T.
, and
Tseng
,
C.
, 2002, “
Heat Transfer and Flow Pattern During Two-Phase Flow Boiling of R-134a in Horizontal Smooth and Microfin Tubes
,”
Int. J. Refrig.
0140-7007,
25
, pp.
789
798
.
27.
Evaporator’s Selection Manual
,” 2004, Bitzer Ltd., Milton Keynes, Great Britian, www.bitzeruk.com
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