IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v192y2020ics0360544219322625.html
   My bibliography  Save this article

Multi-objective optimization of geometric parameters for the helically coiled tube using Markowitz optimization theory

Author

Listed:
  • Han, Yong
  • Wang, Xue-sheng
  • Zhang, Zhao
  • Zhang, Hao-nan

Abstract

In this research, a novel multi-objective optimization of helically coiled tube (HCT) using Markowitz effective boundary theory was studied. Firstly, the expressions of modified entropy generation number (EGN, Ns,c, Ns,p, Ns) for the HCT was derived. Secondly, the mathematical relation between the heat transfer EGN (Ns,c) and NTU was validated. Then, a novel method to acquire the effective boundary was proposed. Finally, the results of Markowitz optimization were compared with MOGA. The results show that, in comparison between the 2 optimization methods, relative error of heat transfer coefficient using both optimization methods are below ±2%; as for the flow resistance, the relative error of Markowitz effective boundary is still below ±2%, the relative error of MOGA is more than ±2%; there are 3 optimal points in each optimization; when heat transfer coefficient (h) and pressure drop (|Δp|) are selected as the objective functions, the PEC of Markowitz optimization increases by 1.63%, 3.36% and 0.4%, respectively; when heat transfer coefficient (h), pressure drop (|Δp|) and total EGN (Ns) are selected as the objective functions, the PEC of Markowitz optimization increases by 3.25%, 25.47% and 21.97%, respectively. Therefore, the Markowitz optimization is more effective than the MOGA of ANSYS.

Suggested Citation

  • Han, Yong & Wang, Xue-sheng & Zhang, Zhao & Zhang, Hao-nan, 2020. "Multi-objective optimization of geometric parameters for the helically coiled tube using Markowitz optimization theory," Energy, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:energy:v:192:y:2020:i:c:s0360544219322625
    DOI: 10.1016/j.energy.2019.116567
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544219322625
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2019.116567?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Stempien, J.P. & Chan, S.H., 2017. "Addressing energy trilemma via the modified Markowitz Mean-Variance Portfolio Optimization theory," Applied Energy, Elsevier, vol. 202(C), pages 228-237.
    2. Ahadi, Mohammad & Abbassi, Abbas, 2015. "Entropy generation analysis of laminar forced convection through uniformly heated helical coils considering effects of high length and heat flux and temperature dependence of thermophysical properties," Energy, Elsevier, vol. 82(C), pages 322-332.
    3. Ko, T.H. & Ting, K., 2006. "Optimal Reynolds number for the fully developed laminar forced convection in a helical coiled tube," Energy, Elsevier, vol. 31(12), pages 2142-2152.
    4. Bejan, Adrian, 1980. "Second law analysis in heat transfer," Energy, Elsevier, vol. 5(8), pages 720-732.
    5. Rambaud, Salvador Cruz & Pérez, José García & Sánchez Granero, Miguel Ángel & Trinidad Segovia, Juan Evangelista, 2009. "Markowitz's model with Euclidean vector spaces," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1245-1248, August.
    6. ANSTREICHER, Kurt M. & FAMPA, Marcia & LEE , Jon & WILLIAMS, Joy, 2001. "Maximum-entropy remote sampling," LIDAM Reprints CORE 1494, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Satapathy, Ashok K., 2009. "Thermodynamic optimization of a coiled tube heat exchanger under constant wall heat flux condition," Energy, Elsevier, vol. 34(9), pages 1122-1126.
    8. Yin, Qian & Du, Wen-Jing & Ji, Xing-Lin & Cheng, Lin, 2016. "Optimization design and economic analyses of heat recovery exchangers on rotary kilns," Applied Energy, Elsevier, vol. 180(C), pages 743-756.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sun, Jinxiang & Zhang, Ruibo & Wang, Mingjun & Zhang, Jing & Qiu, Suizheng & Tian, Wenxi & Su, G.H., 2022. "Multi-objective optimization of helical coil steam generator in high temperature gas reactors with genetic algorithm and response surface method," Energy, Elsevier, vol. 259(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Li, Zhouhang & Zhai, Yuling & Bi, Dapeng & Li, Kongzhai & Wang, Hua & Lu, Junfu, 2017. "Orientation effect in helical coils with smooth and rib-roughened wall: Toward improved gas heaters for supercritical carbon dioxide Rankine cycles," Energy, Elsevier, vol. 140(P1), pages 530-545.
    2. Li, Zhouhang & Zhai, Yuling & Li, Kongzhai & Wang, Hua & Lu, Junfu, 2016. "A quantitative study on the interaction between curvature and buoyancy effects in helically coiled heat exchangers of supercritical CO2 Rankine cycles," Energy, Elsevier, vol. 116(P1), pages 661-676.
    3. Xu, Mingtian, 2012. "Variational principles in terms of entransy for heat transfer," Energy, Elsevier, vol. 44(1), pages 973-977.
    4. Amani, E. & Nobari, M.R.H., 2011. "A numerical investigation of entropy generation in the entrance region of curved pipes at constant wall temperature," Energy, Elsevier, vol. 36(8), pages 4909-4918.
    5. Hajmohammadi, M.R. & Eskandari, H. & Saffar-Avval, M. & Campo, A., 2013. "A new configuration of bend tubes for compound optimization of heat and fluid flow," Energy, Elsevier, vol. 62(C), pages 418-424.
    6. Ahadi, Mohammad & Abbassi, Abbas, 2015. "Entropy generation analysis of laminar forced convection through uniformly heated helical coils considering effects of high length and heat flux and temperature dependence of thermophysical properties," Energy, Elsevier, vol. 82(C), pages 322-332.
    7. San, J.-Y., 2010. "Second-law performance of heat exchangers for waste heat recovery," Energy, Elsevier, vol. 35(5), pages 1936-1945.
    8. Bahiraei, Farid & Saray, Rahim Khoshbakhti & Salehzadeh, Aidin, 2011. "Investigation of potential of improvement of helical coils based on avoidable and unavoidable exergy destruction concepts," Energy, Elsevier, vol. 36(5), pages 3113-3119.
    9. Colorado, D. & Ali, M.E. & García-Valladares, O. & Hernández, J.A., 2011. "Heat transfer using a correlation by neural network for natural convection from vertical helical coil in oil and glycerol/water solution," Energy, Elsevier, vol. 36(2), pages 854-863.
    10. Jarungthammachote, Sompop, 2010. "Entropy generation analysis for fully developed laminar convection in hexagonal duct subjected to constant heat flux," Energy, Elsevier, vol. 35(12), pages 5374-5379.
    11. Bejan, Adrian, 2018. "Thermodynamics today," Energy, Elsevier, vol. 160(C), pages 1208-1219.
    12. Sheikholeslami, M. & Ganji, D.D., 2016. "Heat transfer enhancement in an air to water heat exchanger with discontinuous helical turbulators; experimental and numerical studies," Energy, Elsevier, vol. 116(P1), pages 341-352.
    13. Khaliq, Abdul, 2004. "Thermodynamic optimization of laminar viscous flow under convective heat-transfer through an isothermal walled duct," Applied Energy, Elsevier, vol. 78(3), pages 289-304, July.
    14. Jaroslaw Krzywanski, 2019. "A General Approach in Optimization of Heat Exchangers by Bio-Inspired Artificial Intelligence Methods," Energies, MDPI, vol. 12(23), pages 1-32, November.
    15. Gaikwad, Harshad Sanjay & Basu, Dipankar Narayan & Mondal, Pranab Kumar, 2017. "Non-linear drag induced irreversibility minimization in a viscous dissipative flow through a micro-porous channel," Energy, Elsevier, vol. 119(C), pages 588-600.
    16. Heidar Sadeghzadeh & Mehdi Aliehyaei & Marc A. Rosen, 2015. "Optimization of a Finned Shell and Tube Heat Exchanger Using a Multi-Objective Optimization Genetic Algorithm," Sustainability, MDPI, vol. 7(9), pages 1-17, August.
    17. Paulino Martinez-Fernandez & Fernando deLlano-Paz & Anxo Calvo-Silvosa & Isabel Soares, 2019. "Assessing Renewable Energy Sources for Electricity (RES-E) Potential Using a CAPM-Analogous Multi-Stage Model," Energies, MDPI, vol. 12(19), pages 1-20, September.
    18. Shamshiri, Mehdi & Ashrafizaadeh, Mahmud & Shirani, Ebrahim, 2012. "Advantages and disadvantages associated with introducing an extra rarefied gas layer into a rotating microsystem filled with a liquid lubricant: First and second law analyses," Energy, Elsevier, vol. 45(1), pages 716-728.
    19. Srinivasacharya, D. & Bindu, K. Hima, 2016. "Entropy generation in a porous annulus due to micropolar fluid flow with slip and convective boundary conditions," Energy, Elsevier, vol. 111(C), pages 165-177.
    20. Zhang, Shijie & Xu, Xiaoxiao & Liu, Chao & Liu, Xinxin & Zhang, Yadong & Dang, Chaobin, 2019. "The heat transfer of supercritical CO2 in helically coiled tube: Trade-off between curvature and buoyancy effect," Energy, Elsevier, vol. 176(C), pages 765-777.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:192:y:2020:i:c:s0360544219322625. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.