Optimal design analysis of a tubular heat exchanger network with extended surfaces using multi-objective constructal optimization

Abstract

The present work aims to investigate the influence of extended surfaces (fins) on the multi-objective optimization of a tubular heat exchanger network (THEN). An increase in the heat transfer area using various extended surfaces (fins) to enhance the performance of the heat exchanger was used while considering the effectiveness and total heat transfer area as two objective functions. In addition to the simulation of simple fins, a new set of fins, called constructal fins, was designed based on the constructal theory. Tubular heat exchanger network design parameters were chosen as optimization variables, and optimization results were achieved in such a way as to enhance the effectiveness and decrease the total heat transfer area. The results show the importance of constructal fins in improving the objective functions of heat exchangers. For instance, the simple fins case enhances the effectiveness by up to 5.3% compared to that without fins (usual heat exchanger) while using constructal fins, in addition to the 7% increment of effectiveness, reduces the total heat transfer area by 9.47%. In order to optimize the heat exchanger, the heat transfer rate and cold fluid temperature must increase, and at the same time, the hot exiting fluid temperature should decrease at the same constant total heat transfer area, which is higher in the constructal fins case. Finally, optimized design variables were studied for different cases, and the effects of various fins were reported.

Key words： constructal theory; extended surface; effectiveness; total heat transfer area; multi-objective optimization

References

1 Kakaç S, Liu H, Pramuanjaroenkij A. Heat Exchangers: Selection, Rating, and Thermal Design. Boca Raton, USA: CRC Press, 2012, 123–143

2 Shah R K, Sekulic D P. Fundamentals of Heat Exchanger Design. Hoboken, USA: John Wiley and Sons, Inc., 2003, 67–68

3 Thome J R. Heat transfer augmentation of shell-and-tube heat exchangers for the chemical processing industry. Journal of Enhanced Heat Transfer, 1997, 4(2): 147–161

4 ThomeJ R. A review on shell-and-tube heat exchangers for the chemical processing industry: heat transfer augmentation. Journal of Enhanced Heat Transfer, 2017, 24(1–6): 427–442

5 SanayeSHajabdollahiH. Multi-objective optimization of shell and tube heat exchangers. Applied Thermal Engineering, 2010, 30(14–15): 1937–1945

6 Khosravi R, Khosravi A, Nahavandi S. . Effectiveness of evolutionary algorithms for optimization of heat exchangers. Energy Conversion and Management, 2015, 89: 281–288

7 Hajabdollahi H, Ahmadi P, Dincer I. Thermoeconomic optimization of a shell and tube condenser using both genetic algorithm and particle swarm. International Journal of Refrigeration, 2011, 34(4): 1066–1076

8 Hajabdollahi H. Investigating the effect of non-similar fins in thermoeconomic optimization of plate fin heat exchanger. Applied Thermal Engineering, 2015, 82: 152–161

9 Ahmadi P, Hajabdollahi H, Dincer I. Cost and entropy generation minimization of a cross-flow plate fin heat exchanger using multi-objective genetic algorithm. Journal of Heat Transfer, 2011, 133(2): 021801

10 Hajabdollahi H, Ahmadi P, Dincer I. Multi-objective optimization of plain fin-and-tube heat exchanger using evolutionary algorithm. Journal of Thermophysics and Heat Transfer, 2011, 25(3): 424–431

11 Alinia Kashani A H, Maddahi A, Hajabdollahi H. Thermal-economic optimization of an air-cooled heat exchanger unit. Applied Thermal Engineering, 2013, 54(1): 43–55

12 Hajabdollahi H, Shafiey Dehaj M. Rotary regenerator: Constructal thermoeconomic optimization. Journal of the Taiwan Institute of Chemical Engineers, 2020, 113: 231–240

13 Sanaye S, Hajabdollahi H. Multi-objective optimization of rotary regenerator using genetic algorithm. International Journal of Thermal Sciences, 2009, 48(10): 1967–1977

14 Hajabdollahi H, Ataeizadeh M, Masoumpour B. . Comparison of the effect of various nanoparticle shapes on optimal design of plate heat exchanger. Heat Transfer Research, 2021, 52(3): 29–47

15 Bergman T L, Incropera F P, Lavine A S. . Introduction to Heat Transfer. Hoboken, USA: John Wiley and Sons, 2011, 232–238

16 Bejan A. Shape and Structure, From Engineering to Nature. Cambridge: Cambridge University Press, 2000, 49–65

17 Bejan A, Lorente S. Constructal theory of generation of configuration in nature and engineering. Journal of Applied Physics, 2006, 100(4): 041301

18 BejanALorenteS. Design with Constructal Theory. Hoboken, USA: John Wiley and Sons, Inc., 2008

19 Bejan A, Lorente S. Constructal law of design and evolution: physics, biology, technology, and society. Journal of Applied Physics, 2013, 113(15): 151301

20 Mardanpour P. Freedom and evolution: hierarchy in nature, society, and science. AIAA Journal, 2020, 58(10): 4612

21 Bejan A. Discipline in thermodynamics. Energies, 2020, 13(10): 2487

22 Bejan A, Tsatsaronis G. Purpose in thermodynamics. Energies, 2021, 14(2): 408

23 Guo X, Cheng G. Recent development in structural design and optimization. Acta Mechanica Sinica, 2010, 26(6): 807–823

24 Hosseinnezhad R, Akbari O A, Hassanzadeh Afrouzi H. . Numerical study of turbulent nanofluid heat transfer in a tubular heat exchanger with twin twisted-tape inserts. Journal of Thermal Analysis and Calorimetry, 2018, 132(1): 741–759

25 Hajabdollahi H, Masoumpour B, Ataeizadeh M. Thermoeconomic analysis and multiobjective optimization of tubular heat exchanger network using different shapes of nanoparticles. Heat Transfer, 2021, 50(1): 56–80

26 Poongavanam G K, Ramalingam V. Effect of shot peening on enhancing the heat transfer performance of a tubular heat exchanger. International Journal of Thermal Sciences, 2019, 139: 1–14

27 Skullong S, Promvonge P, Jayranaiwachira N. . Experimental and numerical heat transfer investigation in a tubular heat exchanger with delta-wing tape inserts. Chemical Engineering and Processing, 2016, 109: 164–177

28 Chingtuaythong W, Promvonge P, Thianpong C. . Heat transfer characterization in a tubular heat exchanger with V-shaped rings. Applied Thermal Engineering, 2017, 110: 1164–1171

29 Sadeghi H M, Babayan M, Chamkha A. Investigation of using multi-layer PCMs in the tubular heat exchanger with periodic heat transfer boundary condition. International Journal of Heat and Mass Transfer, 2020, 147: 118970

30 Tamna S, Kaewkohkiat Y, Skullong S. . Heat transfer enhancement in tubular heat exchanger with double V-ribbed twisted-tapes. Case Studies in Thermal Engineering, 2016, 7: 14–24

31 Kerche F, Weterings M, Beyrer M. The effect of temperature and shear upon technological properties of whey protein concentrate: Aggregation in a tubular heat exchanger. International Dairy Journal, 2016, 60: 32–38

32 Sadeghianjahromi A, Kheradmand S, Nemati H. . Optimization of the louver fin-and-tube heat exchangers—a parametric approach. Journal of Enhanced Heat Transfer, 2020, 27(4): 289–312

33 Muley A, Manglik R M. Enhanced heat transfer characteristics of single-phase flows in a plate heat exchanger with mixed chevron plates. Journal of Enhanced Heat Transfer, 1997, 4(3): 187–201

34 MuleyAManglikR M. A review on enhanced heat transfer characteristics of single-phase flows in a plate heat exchanger. Journal of Enhanced Heat Transfer, 2017, 24(1–6): 443–458

35 Beigzadeh R, Eiamsa-Ard S. Genetic algorithm multiobjective optimization of a thermal system with three heat transfer enhancement characteristics. Journal of Enhanced Heat Transfer, 2020, 27(2): 123–141

36 Azad A V, Amidpour M. Economic optimization of shell and tube heat exchanger based on constructal theory. Energy, 2011, 36(2): 1087–1096

37 Lee J, Kim Y, Lorente S. . Constructal design of a comb-like channel network for self-healing and self-cooling. International Journal of Heat and Mass Transfer, 2013, 66: 898–905

38 Meyer J P, Olakoyejo O T, Bello-Ochende T. Constructal optimisation of conjugate triangular cooling channels with internal heat generation. International Communications in Heat and Mass Transfer, 2012, 39(8): 1093–1100

39 Hafizan A M, Wan Alwi S R, Manan Z A. . Optimal heat exchanger network synthesis with operability and safety considerations. Clean Technologies and Environmental Policy, 2016, 18(8): 2381–2400

40 Yang J, Oh S R, Liu W. Optimization of shell-and-tube heat exchangers using a general design approach motivated by constructal theory. International Journal of Heat and Mass Transfer, 2014, 77: 1144–1154

41 Norouzi E, Amidpour M. Optimal thermodynamic and economic volume of a heat recovery steam generator by constructal design. International Communications in Heat and Mass Transfer, 2012, 39(8): 1286–1292

42 Mirzaei M, Hajabdollahi H, Fadakar H. Multi-objective optimization of shell-and-tube heat exchanger by constructal theory. Applied Thermal Engineering, 2017, 125: 9–19

43 Yang A, Chen L, Xie Z. . Constructal heat transfer rate maximization for cylindrical pin-fin heat sinks. Applied Thermal Engineering, 2016, 108: 427–435

44 Chen L, Feng H, Xie Z. . Progress of constructal theory in China over the past decade. International Journal of Heat and Mass Transfer, 2019, 130: 393–419

45 Chen L, Yang A, Feng H. . Constructal design progress for eight types of heat sinks. Science China, Technological Sciences, 2020, 63(6): 879–911

46 Feng H, Chen L, Wu Z. . Constructal design of a shell-and-tube heat exchanger for organic fluid evaporation process. International Journal of Heat and Mass Transfer, 2019, 131: 750–756

47 Feng H, Chen L, Xia S. Constructal design for disc-shaped heat exchanger with maximum thermal efficiency. International Journal of Heat and Mass Transfer, 2019, 130: 740–746

48 Tang C, Chen L, Feng H. . Four-objective optimizations for an improved irreversible closed modified simple brayton cycle. Entropy (Basel, Switzerland), 2021, 23(3): 282

49 Zhang L, Chen L, Xia S. . Multi-objective optimization for helium-heated reverse water gas shift reactor by using NSGA-II. International Journal of Heat and Mass Transfer, 2020, 148: 119025

50 Chen L, Tang C, Feng H. . Power, efficiency, power density and ecological function optimization for an irreversible modified closed variable-temperature reservoir regenerative Brayton cycle with one isothermal heating process. Energies, 2020, 13(19): 5133

51 Wu Z, Feng H, Chen L. . Performance optimization of a condenser in ocean thermal energy conversion (OTEC) system based on constructal theory and a multi-objective genetic algorithm. Entropy (Basel, Switzerland), 2020, 22(6): 641

52 Sun M, Xia S, Chen L. . Minimum entropy generation rate and maximum yield optimization of sulfuric acid decomposition process using NSGA-II. Entropy (Basel, Switzerland), 2020, 22(10): 1065

53 Shi S, Ge Y, Chen L. . Four-objective optimization of irreversible atkinson cycle based on NSGA-II. Entropy (Basel, Switzerland), 2020, 22(10): 1150

54 Chen C, You J, Feng H. . A multi-objective study on the constructal design of non-uniform heat generating disc cooled by radial- and dendritic-pattern cooling channels. Science China, Technological Sciences, 2021, 64(4): 729–744

55 Chen L, Feng H, Xie Z. . Thermal efficiency maximization for H- and X-shaped heat exchangers based on constructal theory. Applied Thermal Engineering, 2015, 91: 456–462

56 Wu Z, Feng H, Chen L. . Pumping power minimization of an evaporator in ocean thermal energy conversion system based on constructal theory. Energy, 2019, 181: 974–984

57 Xie Z, Feng H, Chen L. . Constructal design for supercharged boiler evaporator. International Journal of Heat and Mass Transfer, 2019, 138: 571–579

58 Feng H, Cai C, Chen L. . Constructal design of a shell-and-tube condenser with ammonia-water working fluid. International Communications in Heat and Mass Transfer, 2020, 118: 104867

59 Feng H, Xie Z, Chen L. . Constructal design for supercharged boiler superheater. Energy, 2020, 191: 116484

60 Tang W, Feng H, Chen L. . Constructal design for a boiler economizer. Energy, 2021, 223: 120013

61 Ganjehkaviri A, Mohd Jaafar M N. Multi-objective particle swarm optimization of flat plate solar collector using constructal theory. Energy, 2020, 194: 116846

62 Hajabdollahi H. Multi-objective optimization of plate fin heat exchanger using constructal theory. International Communications in Heat and Mass Transfer, 2019, 108: 104283

63 Bejan A, Gucluer S. Morphing the design to go with the times. International Communications in Heat and Mass Transfer, 2021, 120: 104837

64 Ramiar A, Manavi S A, Yousefi-Lafouraki B. . Thermal performance optimization of a sinusoidal wavy channel with different phase shifts using artificial bee colony algorithm. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2018, 40(6): 327

65 Gürbüz E Y, Sözen A, Variyenli H İ. . A comparative study on utilizing hybrid-type nanofluid in plate heat exchangers with different number of plates. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020, 42(10): 524