Influence of spacing ratio on energy harvesting from water current by cylinder arrays
Luo Zhumei1, Zhang Lixiang2
1.Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming, Yunnan 650093, China; 2.Faculty of Civil Engineering and Architecture, Kunming University of Science and Technology, Kunming, Yunnan 650051, China
Abstract：The vortex-induced vibration of five cylinders rigidly linked at both ends with staggered arrangement was simulated under a uniform current. A two-way coupling numerical method was adopted to deal with fluid-structure interaction when the cylinder arrays were subject to a current respectively with 0.5 m/s, 0.6 m/s and 0.7 m/s velocities. Further, different streamwise and transverse spacing ratios were applied in simulations to identify their influence on energy harvesting and power density from the current at three stream velocities. The results reveal that there is no obvious vortex shedding and the amplitude of response of cylinder system is very small at low space ratios. However, as the space ratios are high enough, there is vortex shedding from each cylinder at the same frequency and the cylinder system obtains high response amplitude. The energy harvesting is enhanced with increasing spacing ratios, however, it becomes statured once the streamwise spacing ratio L/D≥6 and the transverse spa-cing ratio H/D≥4. Furthermore, a maximum power density occurs at L/D=6 and H/D=4 under the three current velocities. Therefore, L/D=6 and H/D=4 should be the reasonable two spacing ratios. This result can be useful for design of cylinder arrays for energy harvesting from water currents.
罗竹梅, 张立翔. 间距比对圆柱系统从水流中获取能量的影响[J]. 排灌机械工程学报, 2014, 32(1): 51-55.
Luo Zhumei, Zhang Lixiang. Influence of spacing ratio on energy harvesting from water current by cylinder arrays. Journal of Drainage and Irrigation Machinery Engin, 2014, 32(1): 51-55.
[1]Bernitsas M M, Raghawan K, Ben-Simon Y,et al. VIVACE(vortex induced vibration for aquatic clean e-nergy):A new concept in generation of clean and rene-wable energy from fluid flow [J]. Journal of Offshore Mechanics and Arctic Engineering, 2008,130(4):1-15.[2]Barrero-Gil A,Alonso G,Sanz-Andres A. Energy harvesting from transverse galloping [J]. Journal of Sound and Vibration,2010,329(14):2873-2883.[3]Lee J H, Bernitsas M M. High-damping, high-Reynolds VIV tests for energy harnessing using the VIVACE converter [J]. Ocean Engineering, 2011, 38(16): 1697-1712.[4]Lee J H, Xiros N, Bernitsas M M. Virtual damper-spring system for VIV experiments and hydrokinetic e-nergy conversion[J].Ocean Engineering, 2011, 38(5/6): 732-747.[5]Chang C-C, Ajith K R, Bernitsas M M. VIV and ga-lloping of single circular cylinder with surface roughness at 3.0×104≤Re≤1.2×105 [J]. Ocean Engineering, 2011,38(16): 1713-1732.[6]Raghavan K, Bernitsas M M. Experimental investigation of Reynolds number effect on vortex induced vibration of rigid circular cylinder on elastic supports [J]. Ocean Engineering, 2011, 38(16): 719-731.[7]Bernitsas M M,Ben-Simon Y,Raghavan K, et al. The VIVACE converter:Model tests at high damping and Reynolds number around 105 [J]. Journal of Offshore Mechanics and Arctic Engineering,2009,131(1):1-12.[8]Park H, Kumar R A, Bernitsas M M. Enhancement of flow-induced motion of rigid circular cylinder on springs by localized surface roughness at 3.0×104≤Re≤1.2×105 [J]. Ocean Engineering, 2013, 72(1): 403-415.[9]Ding L, Bernitsas M M, Kim E S. 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 [J]. Ocean Engineering, 2013, 72(1): 429-440.[10]Pan Z Y,Cui W C,Miao Q M. Numerical simulation of vortex-induced vibration of a circular cylinder at low mass-damping using RANS code [J]. Journal of Fluids and Structures,2007,23(1):23-37.[11]Wanderley J B V,Souza G H B,Sphaier S H,et al. Vortex-induced vibration of an elastically mounted circular cylinder using an upwind TVD two-dimensional numerical scheme[J]. Ocean Engineering,2008,35(14/15):1533-1544.[12]Sarpkaya T. A critical review of the intrinsic nature of vortex-induced vibrations [J]. Journal of Fluids and Structures,2004,19(4):389-447.[13]Sumner D. Two circular cylinders in cross-flow:A review [J]. Journal of Fluids and Structures, 2010, 26(6):849-899.[14]Zhao M,Cheng L. Numerical simulation of vortex-induced vibration of four circular cylinders in a square configuration [J]. Journal of Fluids and Structures,2012,31(4):125-140.[15]徐枫,欧进萍. 正三角形排列三圆柱绕流与涡致振动数值模拟[J]. 空气动力学学报,2010,28(5):582-590. Xu Feng,Ou Jinping. Numerical simulation of vortex-induced vibration of three cylinders subjected to a cross flow in equilateral arrangement[J].Acta Aerodynamic Sinica,2010,28(5):582-590.(in Chinese)
