Skip to main content

Multi-Objective Reliability-Based Design Optimization of Shell-and-Tube Heat Exchangers Using Combined Subset Simulation Method and Naive Bayes Algorithm

  • Living reference work entry
  • First Online:
Handbook of Smart Energy Systems

Abstract

In today’s advanced world, optimization of energy systems to reduce energy consumption and costs in the industrial area has received much attention. Meanwhile, the optimal design of energy consuming components and equipment plays an influential role in this process. Shell and tube heat exchangers (STHE) are used as the most common type of heat exchangers in many industries, so optimal design of this equipment in order to save design and operation costs is important. Due to the nature of the problem, various environmental and structural parameters play a role in the final design, which causes many uncertainties in the design process of this equipment. Therefore, in this study, the optimal design of STHE with a multi-objective approach including minimizing costs and maximizing the reliability index was investigated. For this purpose, a new hybrid method including Naive Bayesian and subset simulation method is proposed. The redesign results show that the developed framework has the promising potential to enhance computational time efficiency with high accuracy for the multi-objective reliability-based design optimization of STHE. Moreover, the curve of Pareto front and a set of robust design values of STHE are obtained for the high-safety level design of STHE. According to the results, considering the uncertainties during the design lead to a safe and robust model. Since design uncertainty is unavoidable, the results are closer to reality and show greater accuracy.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

References

  • S-K Au, J.L. Beck, Estimation of small failure probabilities in high dimensions by subset simulation. Probab Eng Mech. 16:263–77 (2001). https://doi.org/10.1016/S0266-8920(01)00019-4

  • M. Amini, M. Bazargan, Two objective optimization in shell-and-tube heat exchangers using genetic algorithm. Appl. Therm. Eng. 69(1–2), 278–285 (2014)

    Article  Google Scholar 

  • M. Asadi, Y. Song, B. Sunden, G. Xie, Economic optimization design of shell-and-tube heat exchangers by a cuckoo-search-algorithm. Appl. Therm. Eng. 73(1), 1032–1040 (2014)

    Article  Google Scholar 

  • H. Azarkish, M. Rashki, Reliability and reliability-based sensitivity analysis of shell and tube heat exchangers using Monte Carlo simulation. Appl. Therm. Eng. 159, 113842 (2019)

    Article  Google Scholar 

  • A.C. Caputo, P.M. Pelagagge, P. Salini, Heat exchanger design based on economic optimisation. Appl. Therm. Eng. 28(10), 1151–1159 (2008)

    Article  Google Scholar 

  • E.H. de Vasconcelos Segundo, V.C. Mariani, L. dos Santos Coelho, Design of heat exchangers using falcon optimization algorithm. Appl. Therm. Eng. 156, 119–144 (2019)

    Article  Google Scholar 

  • A. El Maakoul, A. Laknizi, S. Saadeddine, M. El Metoui, A. Zaite, M. Meziane, A.B. Abdellah, Numerical comparison of shell-side performance for shell and tube heat exchangers with trefoil-hole, helical and segmental baffles. Appl. Therm. Eng. 109, 175–185 (2016)

    Article  Google Scholar 

  • M. Fesanghary, E. Damangir, I. Soleimani, Design optimization of shell and tube heat exchangers using global sensitivity analysis and harmony search algorithm. Appl. Therm. Eng. 29(5–6), 1026–1031 (2009)

    Article  Google Scholar 

  • T. Gholizadeh, M. Vajdi, H. Rostamzadeh, Exergoeconomic optimization of a new trigeneration system driven by biogas for power, cooling, and freshwater production. Energy Convers. Manag. 205, 112417 (2020)

    Article  Google Scholar 

  • A. Hadidi, A. Nazari, Design and economic optimization of shell-and-tube heat exchangers using biogeography-based (BBO) algorithm. Appl. Therm. Eng. 51(1–2), 1263–1272 (2013)

    Article  Google Scholar 

  • A. Hadidi, M. Hadidi, A. Nazari, A new design approach for shell-and-tube heat exchangers using imperialist competitive algorithm (ICA) from economic point of view. Energy Convers. Manag. 67, 66–74 (2013)

    Article  Google Scholar 

  • H. Hajabdollahi, P. Ahmadi, I. Dincer, Thermoeconomic optimization of a shell and tube condenser using both genetic algorithm and particle swarm. Int. J. Refrig. 34(4), 1066–1076 (2011)

    Article  Google Scholar 

  • J. Jafari-Asl, S. Ohadi, M.E.A. Ben Seghier, N.T. Trung, Accurate structural reliability analysis using an improved line-sampling-method-based slime mold algorithm. ASME J. Risk Uncertain. Eng. Syst. 7(2), 04021015 (2021)

    Article  Google Scholar 

  • J. Jafari-Asl, M.E.A.B. Seghier, S. Ohadi, J. Correia, J. Barroso, Reliability analysis based improved directional simulation using harris hawks optimization algorithm for engineering systems. Eng. Fail. Anal. 106148 (2022)

    Google Scholar 

  • M.A. Jamil, T.S. Goraya, M.W. Shahzad, S.M. Zubair, Exergoeconomic optimization of a shell-and-tube heat exchanger. Energy Convers. Manag. 226, 113462 (2020)

    Article  Google Scholar 

  • R. Khosravi, A. Khosravi, S. Nahavandi, H. Hajabdollahi, Effectiveness of evolutionary algorithms for optimization of heat exchangers. Energy Convers. Manag. 89, 281–288 (2015)

    Article  Google Scholar 

  • O.D. Lara-Montaño, F.I. Gómez-Castro, C. Gutiérrez-Antonio, Development of a virtual environment for the rigorous design and optimization of shell-and-tube heat exchangers, in Computer Aided Chemical Engineering 48, 19–24 (2020). Elsevier

    Google Scholar 

  • V.C. Mariani, A.R.K. Duck, F.A. Guerra, L. dos Santos Coelho, R.V. Rao, A chaotic quantum-behaved particle swarm approach applied to optimization of heat exchangers. Appl. Therm. Eng. 42, 119–128 (2012)

    Article  Google Scholar 

  • S. Mirjalili, P. Jangir, S.Z. Mirjalili, S. Saremi, I.N. Trivedi, Optimization of problems with multiple objectives using the multi-verse optimization algorithm. Knowl.-Based Syst. 134, 50–71 (2017a)

    Article  Google Scholar 

  • S. Mirjalili, P. Jangir, S. Saremi, Multi-objective ant lion optimizer: A multi-objective optimization algorithm for solving engineering problems. Appl. Intell. 46(1), 79–95 (2017b)

    Article  Google Scholar 

  • D.K. Mohanty, Application of firefly algorithm for design optimization of a shell and tube heat exchanger from economic point of view. Int. J. Therm. Sci. 102, 228–238 (2016)

    Article  Google Scholar 

  • O.D.L. Montaño, F.I. Gómez-Castro, C. Gutierrez-Antonio, Design and optimization of a shell-and-tube heat exchanger using the univariate marginal distribution algorithm, in Computer Aided Chemical Engineering, vol. 50, (Elsevier, 2021), pp. 43–49

    Google Scholar 

  • V.K. Patel, R.V. Rao, Design optimization of shell-and-tube heat exchanger using particle swarm optimization technique. Appl. Therm. Eng. 30(11–12), 1417–1425 (2010)

    Article  Google Scholar 

  • B. Pandit, G.L. Sivakumar Babu, B. Pandit, S. Babu, Reliability analysis of rock slopes using stochastic response surface advanced technologies for post-disasters reconnaissance, forensic and environmental impact studies geotechnical view project suppots view project reliability analysis of rock slopes. (2016) https://www.researchgate.net/publication/304771896

  • J.M. Ponce-Ortega, M. Serna-González, A. Jiménez-Gutiérrez, Use of genetic algorithms for the optimal design of shell-and-tube heat exchangers. Appl. Therm. Eng. 29(2–3), 203–209 (2009)

    Article  Google Scholar 

  • M.J.G. Rad, S. Ohadi, J. Jafari-Asl, A. Vatani, S.A. Ahmadabadi, J. A. Correia, GNDO-SVR: An efficient surrogate modeling approach for reliability-based design optimization of concrete dams. In Structures 35, 722–733 (2022). Elsevier

    Google Scholar 

  • H. Sadeghzadeh, M.A. Ehyaei, M.A. Rosen, Techno-economic optimization of a shell and tube heat exchanger by genetic and particle swarm algorithms. Energy Convers. Manag. 93, 84–91 (2015)

    Article  Google Scholar 

  • A.Ş. Şahin, B. Kılıç, U. Kılıç, Design and economic optimization of shell and tube heat exchangers using artificial bee colony (ABC) algorithm. Energy Convers. Manag. 52(11), 3356–3362 (2011)

    Article  Google Scholar 

  • R.K. Shah, D.P. Sekulic, Heat exchanger design procedures, in Fundamentals of Heat Exchanger Design, (Wiley, 2003), pp. 601–672. https://doi.org/10.1002/9780470172605.ch9

    Chapter  Google Scholar 

  • M.A. Shaik, B.V. Babu, Differential evolution for optimal design of shell-and-tube heat exchangers, in Evolutionary Computation, (Apple Academic Press, 2016), pp. 263–292

    Google Scholar 

  • P. Singh, M. Pant, Design optimization of shell and tube heat exchanger using differential evolution algorithm, in Proceedings of the Third International Conference on Soft Computing for Problem Solving, (Springer, New Delhi, 2014), pp. 729–739

    Chapter  Google Scholar 

  • R. Smith, Chemical Process Design and Integration, 2nd edn. (Wiley, 2005)

    Google Scholar 

  • Q. Wang, G.M. Garrity, J.M. Tiedje, J.R. Cole, Naive Bayesian classifier for rapid assignment of rRNA sequences into the new bacterial taxonomy. Appl. Environ. Microbiol. 73(16), 5261–5267 (2007)

    Article  Google Scholar 

  • P. Wildi-Tremblay, L. Gosselin, Minimizing shell-and-tube heat exchanger cost with genetic algorithms and considering maintenance. Int. J. Energy Res. 31(9), 867–885 (2007). https://doi.org/10.1002/er.1272

    Article  Google Scholar 

  • D.H. Wolpert, W.G. Macready, No free lunch theorems for optimization. IEEE Trans. Evol. Comput. 1(1), 67–82 (1997)

    Article  Google Scholar 

  • G.N. Xie, B. Sundén, Q.W. Wang, Optimization of compact heat exchangers by a genetic algorithm. Appl. Therm. Eng. 28(8–9), 895–906 (2008)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jafar Jafari-Asl .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 Springer Nature Switzerland AG

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Ohadi, S., Jafari-Asl, J., Lara Montaño, O.D., Safaeian Hamzehkolaei, N. (2022). Multi-Objective Reliability-Based Design Optimization of Shell-and-Tube Heat Exchangers Using Combined Subset Simulation Method and Naive Bayes Algorithm. In: Fathi, M., Zio, E., Pardalos, P.M. (eds) Handbook of Smart Energy Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-72322-4_96-1

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-72322-4_96-1

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-72322-4

  • Online ISBN: 978-3-030-72322-4

  • eBook Packages: Springer Reference Economics and FinanceReference Module Humanities and Social SciencesReference Module Business, Economics and Social Sciences

Publish with us

Policies and ethics