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Multi-objective optimization of a solar receiver considering both the dimple/protrusion depth and delta-winglet vortex generators


  • Luo, Lei
  • Du, Wei
  • Wang, Songtao
  • Wang, Lei
  • Sundén, Bengt
  • Zhang, Xinhong


In this study, multi-objective optimization of the performance of a solar receiver with dimple and delta-winglet vortex generators (DWVGs) is carried out. The thermal performance and outlet dimensionless turbulent kinetic energy (TKE) are chosen as the optimization objectives. The dimple depth, dimple arrangement, the length, height, angle and spacing of the DWVGs are selected as the optimization variables. The Non-Dominated Sorting Genetic Algorithm II (NSGA II) optimization algorithm and computational fluid dynamics (CFD) are adopted. The Re number is fixed as 15,000 in the optimization process. After the optimization, five cases including a Baseline are studied in detail. Results of the Pareto front, flow structure, heat transfer, TKE and thermal performance are included. The results show that the Pareto front is obtained by using this optimization platform. The mixing and thermal performance are significantly increased in the optimal cases. In addition, the solar receiver with inline arranged dimples and DWVGs provides better performance of both mixing and heat transfer than the stagger arrangement. The flow impingement on the protrusion leading edge and half downstream the dimple, the reattachment downstream the dimple are responsible for the thermal performance augmentation while the vortices generated by dimples and protrusions contribute to the increase of mixing. As a result, the heat transfer is enhanced by 75.78%, the friction factor is increased by 166.57% and the TKE is augmented by 5.2 times, respectively. The thermal performance analysis indicates that optimization increases the thermal performance by 72%.

Suggested Citation

  • Luo, Lei & Du, Wei & Wang, Songtao & Wang, Lei & Sundén, Bengt & Zhang, Xinhong, 2017. "Multi-objective optimization of a solar receiver considering both the dimple/protrusion depth and delta-winglet vortex generators," Energy, Elsevier, vol. 137(C), pages 1-19.
  • Handle: RePEc:eee:energy:v:137:y:2017:i:c:p:1-19
    DOI: 10.1016/

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    References listed on IDEAS

    1. Kim, Hyun-Min & Moon, Mi-Ae & Kim, Kwang-Yong, 2011. "Multi-objective optimization of a cooling channel with staggered elliptic dimples," Energy, Elsevier, vol. 36(5), pages 3419-3428.
    2. Hwang, Sang Dong & Kwon, Hyun Goo & Cho, Hyung Hee, 2010. "Local heat transfer and thermal performance on periodically dimple-protrusion patterned walls for compact heat exchangers," Energy, Elsevier, vol. 35(12), pages 5357-5364.
    3. Xia, H.H. & Tang, G.H. & Shi, Y. & Tao, W.Q., 2014. "Simulation of heat transfer enhancement by longitudinal vortex generators in dimple heat exchangers," Energy, Elsevier, vol. 74(C), pages 27-36.
    4. Luo, Lei & Wen, Fengbo & Wang, Lei & Sundén, Bengt & Wang, Songtao, 2016. "Thermal enhancement by using grooves and ribs combined with delta-winglet vortex generator in a solar receiver heat exchanger," Applied Energy, Elsevier, vol. 183(C), pages 1317-1332.
    5. Liu, Jian & Song, Yidan & Xie, Gongnan & Sunden, Bengt, 2015. "Numerical modeling flow and heat transfer in dimpled cooling channels with secondary hemispherical protrusions," Energy, Elsevier, vol. 79(C), pages 1-19.
    6. 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.
    7. Saini, R.P. & Verma, Jitendra, 2008. "Heat transfer and friction factor correlations for a duct having dimple-shape artificial roughness for solar air heaters," Energy, Elsevier, vol. 33(8), pages 1277-1287.
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    Cited by:

    1. Maakala, Viljami & Järvinen, Mika & Vuorinen, Ville, 2018. "Optimizing the heat transfer performance of the recovery boiler superheaters using simulated annealing, surrogate modeling, and computational fluid dynamics," Energy, Elsevier, vol. 160(C), pages 361-377.
    2. Martin O. L. Hansen & Antonis Charalampous & Jean-Marc Foucaut & Christophe Cuvier & Clara M. Velte, 2019. "Validation of a Model for Estimating the Strength of a Vortex Created from the Bound Circulation of a Vortex Generator," Energies, MDPI, Open Access Journal, vol. 12(14), pages 1-14, July.
    3. Rashidi, Saman & Hormozi, Faramarz & Sundén, Bengt & Mahian, Omid, 2019. "Energy saving in thermal energy systems using dimpled surface technology – A review on mechanisms and applications," Applied Energy, Elsevier, vol. 250(C), pages 1491-1547.


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