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Optimization mathematical model for the detailed design of air cooled heat exchangers

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  • Manassaldi, Juan I.
  • Scenna, Nicolás J.
  • Mussati, Sergio F.

Abstract

This paper presents a disjunctive mathematical model for the optimal design of air cooled heat exchangers. The model involves seven discrete decisions which are related to the selection of the type of the finned tube, number of tube rows, number of tube per row, number of passes, fins per unit length, mean fin thickness and the type of the flow regime. Each discrete decision is modeled using disjunctions, boolean variables and logical propositions. The main continuous decisions are: fan diameter, bundle width, tube length, pressure drops and velocities in both sides of the ACHE, heat transfer area, fan power consumption. Then, the resulting generalized disjunctive programming model is reformulated as a mixed integer non-linear programming, implemented in GAMS (general algebraic modeling system) and solved using a branch-and-bound method. The proposed model was successfully verified by comparing the obtained output results with different designs taken from the literature. Then, the model is solved to obtain the optimal designs corresponding to the following optimization criteria: a) minimization the total annual cost which includes investment (heat transfer area) and operating cost (fan power consumption), b) minimization the heat transfer area and c) minimization the fan power consumption. Obtained optimal and sub-optimal designs are compared in detail.

Suggested Citation

  • Manassaldi, Juan I. & Scenna, Nicolás J. & Mussati, Sergio F., 2014. "Optimization mathematical model for the detailed design of air cooled heat exchangers," Energy, Elsevier, vol. 64(C), pages 734-746.
    • Handle: RePEc:eee:energy:v:64:y:2014:i:c:p:734-746
    DOI: 10.1016/j.energy.2013.09.062
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    References listed on IDEAS

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    1. Doodman, A.R. & Fesanghary, M. & Hosseini, R., 2009. "A robust stochastic approach for design optimization of air cooled heat exchangers," Applied Energy, Elsevier, vol. 86(7-8), pages 1240-1245, July.
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    Cited by:

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    4. Wang, Chaoyang & Liu, Ming & Zhao, Yongliang & Wang, Zhu & Yan, Junjie, 2018. "Thermodynamics analysis on a heat exchanger unit during the transient processes based on the second law," Energy, Elsevier, vol. 165(PB), pages 622-633.
    5. Luo, Xianglong & Yi, Zhitong & Zhang, Bingjian & Mo, Songping & Wang, Chao & Song, Mengjie & Chen, Ying, 2017. "Mathematical modelling and optimization of the liquid separation condenser used in organic Rankine cycle," Applied Energy, Elsevier, vol. 185(P2), pages 1309-1323.
    6. Yang, Tingting & Wang, Wei & Zeng, Deliang & Liu, Jizhen & Cui, Can, 2017. "Closed-loop optimization control on fan speed of air-cooled steam condenser units for energy saving and rapid load regulation," Energy, Elsevier, vol. 135(C), pages 394-404.
    7. Taleghani, S. Taslimi & Sorin, M. & Gaboury, S., 2021. "Thermo-economic analysis of heat-driven ejector system for cooling smelting process exhaust gas," Energy, Elsevier, vol. 220(C).
    8. Klemeš, Jiří Jaromír & Wang, Qiu-Wang & Varbanov, Petar Sabev & Zeng, Min & Chin, Hon Huin & Lal, Nathan Sanjay & Li, Nian-Qi & Wang, Bohong & Wang, Xue-Chao & Walmsley, Timothy Gordon, 2020. "Heat transfer enhancement, intensification and optimisation in heat exchanger network retrofit and operation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 120(C).
    9. Lira-Barragán, Luis Fernando & Ponce-Ortega, José María & Serna-González, Medardo & El-Halwagi, Mahmoud M., 2014. "Optimal design of process energy systems integrating sustainable considerations," Energy, Elsevier, vol. 76(C), pages 139-160.
    10. Lozano-Santamaria, Federico & Luceño, José A. & Martín, Mariano & Macchietto, Sandro, 2020. "Stochastic modelling of sandstorms affecting the optimal operation and cleaning scheduling of air coolers in concentrated solar power plants," Energy, Elsevier, vol. 213(C).
    11. Wang, Yufei & Zhan, Shihui & Feng, Xiao, 2015. "Optimization of velocity for energy saving and mitigating fouling in a crude oil preheat train with fixed network structure," Energy, Elsevier, vol. 93(P2), pages 1478-1488.
    12. Luceño, José A. & Martín, Mariano, 2018. "Two-step optimization procedure for the conceptual design of A-frame systems for solar power plants," Energy, Elsevier, vol. 165(PB), pages 483-500.
    13. Kler, Aleksandr M. & Potanina, Yulia M. & Marinchenko, Andrey Y., 2020. "Co-optimization of thermal power plant flowchart, thermodynamic cycle parameters, and design parameters of components," Energy, Elsevier, vol. 193(C).
    14. Kler, Alexandr M. & Potanina, Yulia M., 2017. "An approach to optimization of the choice of boiler steel grades as to a mixed-integer programming problem," Energy, Elsevier, vol. 127(C), pages 128-135.
    15. Tian, Jiayang & Wang, Yufei & Feng, Xiao, 2016. "Simultaneous optimization of flow velocity and cleaning schedule for mitigating fouling in refinery heat exchanger networks," Energy, Elsevier, vol. 109(C), pages 1118-1129.

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