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Energy Harvesting in the Wake of An Inverted C-Shaped Bluff Body

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Abstract

This paper proposes a novel wake-induced vibration (WIV)-based energy harvesting system consisting of two bluff bodies. An inverted C-shaped bluff body is stationary installed at the upstream position to generate an interference wake street, and a cylinder bluff body equipped with a transducer is elastically suspended at the downstream position to harness WIV energy. The hydrodynamics and energy harvesting (EH) performance of the proposed system are investigated via experimental studies. The reduced velocity (U*) ranging from 2 to 14 (the corresponding Reynolds number ranging from 15100 to 106200) is considered in the present study. It is found that the wake generated by the inverted C-shaped bluff body significantly affects the EH performance. Enlarging the opening angle (α) of the C-shaped bluff body increases the vibration amplitude of the downstream cylinder, thereby increasing the harvested power. When the spacing (L) between two bluff bodies is two times the cylinder diameter (D), the wake-induced vibration (WIV) mode is observed, while the combined WIV and wake galloping (WG) mode occurs when α is 150°, and L equals 3D or 4D. The average drag coefficient becomes negative when L is 2D, 3D, or 4D. By carefully configuring a C-shaped bluff body, the wake generated by it can bring an augmenting effect on the vibration of the downstream EH cylinder. For example, the RMS power output of the proposed EH system reaches a maximum of 0.31 W at U* = 8 and L = 4D, which is 300% greater than that of its traditional counterpart. Furthermore, after a number of case studies, it is identified that the proposed EH system can achieve the best performance when α is 150° and L = 2D.

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References

  • Alam, M.M., 2021. Effects of mass and damping on flow-induced vibration of a cylinder interacting with the wake of another cylinder at high reduced velocities, Energies, 14(16), 5148.

    Article  Google Scholar 

  • Alam, M.M., 2022. A note on flow-induced force measurement of oscillating cylinder by loadcell, Ocean Engineering, 245, 110538.

    Article  Google Scholar 

  • Ali, U., Islam, M., Janajreh, I., Fatt, Y. and Alam, M.M., 2021. Flow-induced vibrations of single and multiple heated circular cylinders: A review, Energies, 14(24), 8496.

    Article  CAS  Google Scholar 

  • Bernitsas, M.M., 2016. Harvesting energy by flow included motions, in: Dhanak, M.R. and Xiros, N.I. (eds.), Springer Handbook of Ocean Engineering, Springer, Cham, 1163–1244.

    Chapter  Google Scholar 

  • Bhatt, R. and Alam, M.M., 2018. Vibrations of a square cylinder submerged in a wake, Journal of Fluid Mechanics, 853, 301–332.

    Article  ADS  MathSciNet  CAS  Google Scholar 

  • Bokaian, A. and Geoola, F., 1984. Wake-induced galloping of two interfering circular cylinders, Journal of Fluid Mechanics, 146, 383–415.

    Article  ADS  Google Scholar 

  • Cao, M.Y., Jin, H.B. and Shao, C.P., 2018. The single strip-induced change of 2p-mode vortex shedding in the wake of a transversely oscillating cylinder, Chinese Journal of Theoretical and Applied Mechanics, 50(4), 734–750. (in Chinese)

    Google Scholar 

  • Carvalho, I.A., Assi, G.R.S. and Orselli, R.M., 2021. Wake control of a circular cylinder with rotating rods: Numerical simulations for inviscid and viscous flows, Journal of Fluids and Structures, 106, 103385.

    Article  ADS  Google Scholar 

  • Chen, W.L., Ji, C.N., Williams, J., Xu, D., Yang, L.H. and Cui, Y.T., 2018. Vortex-induced vibrations of three tandem cylinders in laminar cross-flow: Vibration response and galloping mechanism, Journal of Fluids and Structures, 78, 215–238.

    Article  ADS  Google Scholar 

  • Chitrakar, S., Solemslie, B.W., Neopane, H.P. and Dahlhaug, O.G., 2020. Review on numerical techniques applied in impulse hydro turbines, Renewable Energy, 159, 843–859.

    Article  Google Scholar 

  • Ding, L., Bernitsas, M.M. and Kim, E.S., 2013. 2-D URANS vs. experiments of flow induced motions of two circular cylinders in tandem with passive turbulence control for 30,000<Re<105,000, Ocean Engineering, 72, 429–440.

    Article  Google Scholar 

  • Elahi, H., Eugeni, M., Fune, F., Lampani, L., Mastroddi, F., Paolo Romano, G. and Gaudenzi, P., 2020. Performance evaluation of a piezoelectric energy harvester based on flag-flutter, Micromachines, 11(10), 933.

    Article  PubMed  PubMed Central  Google Scholar 

  • Fan, K.Q., Liu, J., Wei, D.M., Zhang, D.X., Zhang, Y. and Tao, K., 2021. A cantilever-plucked and vibration-driven rotational energy harvester with high electric outputs, Energy Conversion and Management, 244, 114504.

    Article  Google Scholar 

  • Gong, Y., Shan, X.B., Luo, X.W., Pan, J., Xie, T. and Yang, Z.B., 2019. Direction-adaptive energy harvesting with a guide wing under flow-induced oscillations, Energy, 187, 115983.

    Article  Google Scholar 

  • Han, P., Pan, G., Zhang, B.S., Wang, W. and Tian, W.L., 2020. Three-cylinder oscillator under flow: Flow induced vibration and energy harvesting, Ocean Engineering, 211, 107619.

    Article  Google Scholar 

  • Hu, G.B., Lan, C.B., Tang, L.H., Zhou, B. and Yang, Y.W., 2022. Dynamics and power limit analysis of a galloping piezoelectric energy harvester under forced excitation, Mechanical Systems and Signal Processing, 168, 108724.

    Article  Google Scholar 

  • Jiang, X.Y., Zou, H.X. and Zhang, W.M., 2017. Design and analysis of a multi-step piezoelectric energy harvester using buckled beam driven by magnetic excitation, Energy Conversion and Management, 145, 129–137.

    Article  Google Scholar 

  • Khalak, A. and Williamson, C.H.K., 1999. Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping, Journal of fluids and Structures, 13(7–8), 813–851.

    Article  ADS  Google Scholar 

  • Latif, U., Uddin, E., Younis, M.Y., Aslam, J., Ali, Z., Sajid, M. and Abdelkefi, A., 2021. Experimental electro-hydrodynamic investigation of flag-based energy harvesting in the wake of inverted C-shape cylinder, Energy, 215, 119195.

    Article  Google Scholar 

  • Li, C.Z., Zhang, X.S., Hu, X.F., Li, W. and You, Y.X., 2018. The study of flow past multiple cylinders at high reynolds numbers, Journal of Theoretical and Applied Mechanics, 50(2), 233–243. (in Chinese)

    CAS  Google Scholar 

  • Li, K.W., Liu, C.W., Jiang, S.S. and Chen, Y.G., 2020b. Review on hybrid geothermal and solar power systems, Journal of Cleaner Production, 250, 119481.

    Article  Google Scholar 

  • Li, X.C., Luo, X., Xu, W., Huang, X.Y. and Chen, L., 2020a. Numerical investigation on high damping, high reynolds numbers wake-induced vibrations of cylinders in tandem arrangement, Journal of Dalian University of Technology, 60(1), 46–52. (in Chinese)

    Google Scholar 

  • Liao, Y.B. and Liang, J.R., 2018. Maximum power, optimal load, and impedance analysis of piezoelectric vibration energy harvesters, Smart Materials and Structures, 27(7), 075053.

    Article  Google Scholar 

  • Meng, J.P., Fu, X.W., Yang, C.Q., Zhang, L.A., Yang, X.H. and Song, R.J., 2021. Design and simulation investigation of piezoelectric energy harvester under wake-induced vibration coupling vortex-induced vibration, Ferroelectrics, 585(1), 128–138.

    Article  ADS  CAS  Google Scholar 

  • Menter, F. 1993. Zonal two equation k-w turbulence models for aerodynamic flows, 23rd Fluid Dynamics, Plasmadynamics, and Lasers Conference, AIAA, Orlando, USA.

    Google Scholar 

  • Mrope, H.A., Chande Jande, Y. and Kivevele, T.T., 2021. A review on computational fluid dynamics applications in the design and optimization of crossflow hydro turbines, Journal of Renewable Energy, 2021, 5570848.

    Article  Google Scholar 

  • Munir, A., Zhao, M., Wu, H. and Tong, F.F., 2021. Flow-induced vibration of a rotating circular cylinder at high reduced velocities and high rotation rates, Ocean Engineering, 238, 109562.

    Article  Google Scholar 

  • Peng, X.K., Liu, Z.C. and Jiang, D., 2021. A review of multiphase energy conversion in wind power generation, Renewable and Sustainable Energy Reviews, 147, 111172.

    Article  Google Scholar 

  • Qin, B., Alam, M.M. and Zhou, Y., 2017. Two tandem cylinders of different diameters in cross-flow: Flow-induced vibration, Journal of Fluid Mechanics, 829, 621–658.

    Article  ADS  Google Scholar 

  • Qin, B., Alam, M.M. and Zhou, Y., 2019. Free vibrations of two tandem elastically mounted cylinders in crossflow, Journal of Fluid Mechanics, 861, 349–381.

    Article  ADS  CAS  Google Scholar 

  • Salim, S.M., Ariff, M. and Cheah, S.C., 2010. Wall y+ approach for dealing with turbulent flows over a wall mounted cube, Progress in Computational Fluid Dynamics, An International Journal, 10(5–6), 341–351.

    Article  Google Scholar 

  • Sun, F.C., 2022. Green energy and intelligent transportation–promoting green and intelligent mobility, Green Energy and Intelligent Transportation, 1(1), 100017.

    Article  Google Scholar 

  • Tang, R.J., Gu, Y.B., Abdelkefi, A., Liu, X.W. and Wang, J.L., 2022. Effect of periodic metamaterial structures with different arrangement patterns on the effectiveness of hydroelastic energy harvesters: Computational investigation, Ocean Engineering, 244, 110229.

    Article  Google Scholar 

  • Tian, Y., Guan, W.H., Li, G., Mehran, K., Tian, J.D. and Xiang, L.J., 2022. A review on foreign object detection for magnetic coupling-based electric vehicle wireless charging, Green Energy and Intelligent Transportation, 1(2), 100007.

    Article  Google Scholar 

  • Wang, J.L., Li, G.P., Zhang, M., Zhao, G.F., Jin, Z.L., Xu, K. and Zhang, Z.E., 2018. Energy harvesting from flow-induced vibration: A lumped parameter model, Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 40(24), 2903–2913.

    Article  Google Scholar 

  • Wang, J.L., Su, Z., Li, H., Ding, L., Zhu, H.J. and Gaidai, O., 2020a. Imposing a wake effect to improve clean marine energy harvesting by flow-induced vibrations, Ocean Engineering, 208, 107455.

    Article  Google Scholar 

  • Wang, J.L., Yurchenko, D., Hu, G.B., Zhao, L.Y., Tang, L.H. and Yang, Y.W., 2021a. Perspectives in flow-induced vibration energy harvesting, Applied Physics Letters, 119(10), 100502.

    Article  ADS  CAS  Google Scholar 

  • Wang, J.L., Zhao, W., Su, Z., Zhang, G.J., Li, P. and Yurchenko, D., 2020b. Enhancing vortex-induced vibrations of a cylinder with rod attachments for hydrokinetic power generation, Mechanical Systems and Signal Processing, 145, 106912.

    Article  Google Scholar 

  • Wang, S.Y., Liao, W.L., Zhang, Z.H., Liao, Y., Yan, M.J. and Kan, J. W., 2021b. Development of a novel non-contact piezoelectric wind energy harvester excited by vortex-induced vibration, Energy Conversion and Management, 235, 113980.

    Article  Google Scholar 

  • Xu, W.H., Ji, C.N., Sun, H., Ding, W.J. and Bernitsas, M.M., 2019. Flow-induced vibration of two elastically mounted tandem cylinders in cross-flow at subcritical reynolds numbers, Ocean Engineering, 173, 375–387.

    Article  Google Scholar 

  • Yang, K., Abdelkefi, A., Li, X., Mao, Y.C., Dai, L. and Wang, J.L., 2021. Stochastic analysis of a galloping-random wind energy harvesting performance on a buoy platform, Energy Conversion and Management, 238, 114174.

    Article  Google Scholar 

  • Yu, H.S. and Thé, J., 2016. Validation and optimization of SST k-ω turbulence model for pollutant dispersion within a building array, Atmospheric Environment, 145, 225–238.

    Article  ADS  CAS  Google Scholar 

  • Zhang, B.S., Mao, Z.Y., Song, B.W., Ding, W.J. and Tian, W.L., 2018a. Numerical investigation on effect of damping-ratio and massratio on energy harnessing of a square cylinder in FIM, Energy, 144, 218–231.

    Article  Google Scholar 

  • Zhang, B.S., Wang, K.-H., Song, B.W., Mao, Z.Y. and Tian, W.L., 2018b. Numerical investigation on the effect of the cross-sectional aspect ratio of a rectangular cylinder in fim on hydrokinetic energy conversion, Energy, 165, 949–964.

    Article  Google Scholar 

  • Zhang, L.B., Dai, H.L., Abdelkefi, A. and Wang, L., 2019. Experimental investigation of aerodynamic energy harvester with different interference cylinder cross-sections, Energy, 167, 970–981.

    Article  Google Scholar 

  • Zhao, D.L., Hu, X.Y., Tan, T., Yan, Z.M. and Zhang, W.M., 2020a. Piezoelectric galloping energy harvesting enhanced by topological equivalent aerodynamic design, Energy Conversion and Management, 222, 113260.

    Article  Google Scholar 

  • Zhao, G.F., Xu, J.K., Duan, K., Zhang, M., Zhu, H.J. and Wang, J.L., 2020b. Numerical analysis of hydroenergy harvesting from vortex-induced vibrations of a cylinder with groove structures, Ocean Engineering, 218, 108219.

    Article  Google Scholar 

  • Zhao, L.C., Zou, H.X., Yan, G., Liu, F.R., Tan, T., Wei, K.X. and Zhang, W.M., 2019a. Magnetic coupling and flextensional amplification mechanisms for high-robustness ambient wind energy harvesting, Energy Conversion and Management, 201, 112166.

    Article  Google Scholar 

  • Zhao, L.C., Zou, H.X., Yan, G., Liu, F.R., Tan, T., Zhang, W.M., Peng, Z.K. and Meng, G., 2019b. A water-proof magnetically coupled piezoelectric-electromagnetic hybrid wind energy harvester, Applied Energy, 239, 735–746.

    Article  ADS  Google Scholar 

  • Zhu, H.J. and Wang, K.N., 2019. Wake adjustment and vortex-induced vibration of a circular cylinder with a C-shaped plate at a low reynolds number of 100, Physics of Fluids, 31(10), 103602.

    Article  ADS  MathSciNet  Google Scholar 

  • Zhu, H.J., Sun, Z.X. and Gao, Y., 2017. Numerical investigation of vortex-induced vibration of a triple-pipe bundle, Ocean Engineering, 142, 204–216.

    Article  Google Scholar 

  • Zhu, H.J., Zhao, H.N., Yao, J. and Tang, Y.B., 2016. Numerical study on vortex-induced vibration responses of a circular cylinder attached by a free-to-rotate dartlike overlay, Ocean Engineering, 112, 195–210.

    Article  Google Scholar 

  • Zhu, H.J., Zhao, Y. and Hu, J., 2019. Performance of a novel energy harvester for energy self-sufficiency as well as a vortex-induced vibration suppressor, Journal of Fluids and Structures, 91, 102736.

    Article  ADS  Google Scholar 

  • Zhu, H.J., Zhao, Y. and Zhou, T.M., 2018. CFD analysis of energy harvesting from flow induced vibration of a circular cylinder with an attached free-to-rotate pentagram impeller, Applied Energy, 212, 304–321.

    Article  ADS  Google Scholar 

  • Zou, H.X., Zhang, W.M., Li, W.B., Wei, K.X., Gao, Q.H., Peng, Z.K. and Meng, G., 2017. Design and experimental investigation of a magnetically coupled vibration energy harvester using two inverted piezoelectric cantilever beams for rotational motion, Energy Conversion and Management, 148, 1391–1398.

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou, 450000, China

    Jun-lei Wang & Shen-fang Li

  2. Center for Turbulence Control, Harbin Institute of Technology (Shenzhen), Shenzhen, 518055, China

    Md. Mahbub Alam

  3. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, 610500, China

    Hong-jun Zhu

  4. Internet of Things Thrust, The Hong Kong University of Science and Technology (Guangzhou), Guangzhou, 511400, China

    Guo-biao Hu

Authors
  1. Jun-lei Wang
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  2. Shen-fang Li
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  3. Md. Mahbub Alam
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  4. Hong-jun Zhu
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  5. Guo-biao Hu
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Correspondence to Hong-jun Zhu or Guo-biao Hu.

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Additional information

Foundation item: This work was financially supported by the National Natural Science Foundation of China (Grant Nos. 51977196, 52277227, and52305135), Open Project of Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Zhengzhou University of Light Industry (Grant No. IM202302), the Natural Science Foundation of Excellent Youth of Henan Province (Grant No. 222300420076), the Science and Technology Research & Development Joint Foundation of Henan Province-Young Scientists (Grant No. 225200810099), the Program for Science & Technology Innovation Talents in Universities of Henan Province (Grant No. 23HASTIT010), and the National Center for International Research of Subsea Engineering Technology and Equipment (Grant No. 3132023366).

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Wang, Jl., Li, Sf., Alam, M.M. et al. Energy Harvesting in the Wake of An Inverted C-Shaped Bluff Body. China Ocean Eng 38, 68–80 (2024). https://doi.org/10.1007/s13344-024-0006-1

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  • DOI: https://doi.org/10.1007/s13344-024-0006-1

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