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Optimal Reynolds number for the fully developed laminar forced convection in a helical coiled tube

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  • Ko, T.H.
  • Ting, K.

Abstract

This paper analyzes the optimal Re for the steady, laminar, fully developed forced convection in a helical coiled tube with constant wall heat flux based on minimal entropy generation principle. Two working fluids, water and air, are considered. It is found that the entropy generation distributions are relatively insensitive to coil pitch, λ. Through the entropy generation analysis for cases of coil curvature ratio, δ ranging from 0.01 to 0.3, and two dimensionless duty parameters, η1 from 0.1 to 3.0, and η2/1020 from 0.01 to 1.0, the optimal Re for cases with various combinations of the design parameters is reported. In addition, a correlation equation for the optimal Re, δ, η1, and η2 is proposed after a least-square-error analysis. The optimal Re should be adopted as the operating condition according to the relevant design parameters of the helical coils so that the thermal system can have the best exergy utilization with the least irreversibility.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:31:y:2006:i:12:p:2142-2152
    DOI: 10.1016/j.energy.2005.09.001
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    Citations

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    Cited by:

    1. 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.
    2. Cheng-Xian Lin & Robel Kiflemariam, 2019. "Numerical Simulation and Validation of Thermoeletric Generator Based Self-Cooling System with Airflow," Energies, MDPI, vol. 12(21), pages 1-21, October.
    3. Yamankaradeniz, Nurettin, 2016. "Thermodynamic performance assessments of a district heating system with geothermal by using advanced exergy analysis," Renewable Energy, Elsevier, vol. 85(C), pages 965-972.
    4. Xu, Mingtian, 2012. "Variational principles in terms of entransy for heat transfer," Energy, Elsevier, vol. 44(1), pages 973-977.
    5. 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.
    6. Khan, Abid A. & Shahzad, Asim & Hayat, Imran & Miah, Md Salim, 2016. "Recovery of flow conditions for optimum electricity generation through micro hydro turbines," Renewable Energy, Elsevier, vol. 96(PA), pages 940-948.
    7. 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.
    8. 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.
    9. 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).
    10. Wang, Weiliang & Zhang, Hai & Liu, Pei & Li, Zheng & Lv, Junfu & Ni, Weidou, 2017. "The cooling performance of a natural draft dry cooling tower under crosswind and an enclosure approach to cooling efficiency enhancement," Applied Energy, Elsevier, vol. 186(P3), pages 336-346.
    11. Arjmandi, H.R. & Amani, E., 2015. "A numerical investigation of the entropy generation in and thermodynamic optimization of a combustion chamber," Energy, Elsevier, vol. 81(C), pages 706-718.
    12. 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.
    13. Khoshvaght-Aliabadi, M. & Tavasoli, M. & Hormozi, F., 2015. "Comparative analysis on thermal–hydraulic performance of curved tubes: Different geometrical parameters and working fluids," Energy, Elsevier, vol. 91(C), pages 588-600.
    14. 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.
    15. 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.
    16. 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.
    17. Lucia, Umberto, 2016. "Econophysics and bio-chemical engineering thermodynamics: The exergetic analysis of a municipality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 421-430.
    18. 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.

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