Wake-induced vibration of a circular cylinder at a low Reynolds number of 100

Physics of Fluids - Tập 31 Số 7 - 2019
Hongjun Zhu1, C. J. Zhang1, Wenli Liu1
1State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 8 Xindu Road, Chengdu, Sichuan 610500, China

Tóm tắt

Wake-induced vibration (WIV) of a circular cylinder in the wake of a stationary bluff body at a low Reynolds number of 100 is numerically investigated in this work. Square prism, rectangular plate, and triangular prism with the same projected width as the diameter of the circular cylinder are employed as the upstream bluff body to examine the effect of obstacle’s shape on the wake interference and WIV. The downstream circular cylinder is allowed to oscillate in both inline and crossflow directions. Three spacing ratios of 2, 4, and 6 are considered in the computations that carried out for a wide range of reduced velocities (Ur = 2–20). In terms of shear layer reattachment, vortex impingement, and wake interference, three distinct flow regimes are identified for the upstream-stationary-downstream-vibrating tandem cylinders, i.e., continuous reattachment regime, alternating reattachment regime, and coshedding regime. The wake flow pattern is sensitive to the spacing ratio and the reduced velocity. Due to the vigorous streamwise response, the gap between the tandem cylinders varies over time and hence the switching of wake regime. Both the hydrodynamic forces and vibration response are tightly associated with the wake interaction. Among the three configurations, the cylinder behind a square prism possesses the largest cross-flow amplitude, while the cylinder behind a plate and that behind a triangular prism present more oscillating characteristics in the response amplitude, due mainly to the unstable and irregular vortex evolution.

Từ khóa


Tài liệu tham khảo

2018, Numerical simulation of flow-induced motion of three rigidly coupled cylinders in equilateral-triangle arrangement, Phys. Fluids, 30, 125107, 10.1063/1.5054333

2016, Vortex-induced vibration of four cylinders in an in-line square configuration, Phys. Fluids, 28, 023602, 10.1063/1.4941774

1997, Nonlinear dynamics and pattern formation in turbulent wake transition, J. Fluid Mech., 352, 65, 10.1017/s0022112097007465

1999, Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping, J. Fluids Struct., 13, 813, 10.1006/jfls.1999.0236

2004, A critical review of the intrinsic nature of vortex-induced vibrations, J. Fluids Struct., 19, 389, 10.1016/s0889-9746(04)00035-0

2005, An overview of modeling and experiments of vortex-induced vibration of circular cylinders, J. Sound Vib., 282, 575, 10.1016/j.jsv.2004.04.017

2004, Vortex-induced vibrations, Annu. Rev. Fluid Mech., 36, 413, 10.1146/annurev.fluid.36.050802.122128

2008, A brief review of recent results in vortex-induced vibrations, J. Wind Eng. Ind. Aerodyn., 96, 713, 10.1016/j.jweia.2007.06.019

2011, Circular cylinder wakes and vortex-induced vibrations, J. Fluids Struct., 27, 648, 10.1016/j.jfluidstructs.2011.03.021

2018, Vortex shedding from tandem cylinders, Exp. Fluids, 59, 60, 10.1007/s00348-018-2501-8

2018, Two tandem cylinders of different diameters in cross-flow: Effect of an upstream cylinder on wake dynamics, J. Fluid Mech., 836, 5, 10.1017/jfm.2017.735

2016, Effect of mass-ratio, damping, and stiffness on optimal hydrokinetic energy conversion of a single, rough cylinder in flow induced motions, Renewable Energy, 99, 936, 10.1016/j.renene.2016.07.024

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 Eng., 72, 429, 10.1016/j.oceaneng.2013.06.005

2015, URANS vs. experiments of flow induced motions of multiple circular cylinders with passive turbulence control, J. Fluid Struct., 54, 612, 10.1016/j.jfluidstructs.2015.01.003

2003, Vortex-indcued vibration current tank tests of two equal-diameter cylinders in tandem, J. Fluids Struct., 17, 767, 10.1016/s0889-9746(03)00019-7

2009, Numerical modeling of vortex-induced vibrations of two flexible risers

2012, Two-degree-of-freedom flow-induced vibrations on isolated and tandem cylinders with varying natural frequency ratios, J. Fluids Struct., 35, 50, 10.1016/j.jfluidstructs.2012.08.002

2010, On the wake-induced vibration of tandem circular cylinders: The vortex interaction excitation mechanism, J. Fluid Mech., 661, 365, 10.1017/s0022112010003095

2014, Numerical prediction of an anomalous biased oscillation regime in vortex-induced vibrations of two tandem cylinders, Phys. Fluids, 26, 034102, 10.1063/1.4868278

2017, Vortex-induced vibrations of three staggered circular cylinders at low Reynolds numbers, Phys. Fluids, 29, 083606, 10.1063/1.4998417

2018, Flow-induced oscillations of three tandem rotating cylinders, Phys. Fluids, 30, 113604, 10.1063/1.5051773

1959, Experiments on flow around a pair of parallel circular cylinders, 231

1985, Flow-induced oscillations of two interfering circular cylinders, J. Sound Vib., 101, 511, 10.1016/s0022-460x(85)80068-7

2010, Two circular cylinders in cross-flow: A review, J. Fluids Struct., 26, 849, 10.1016/j.jfluidstructs.2010.07.001

2016, Wake of two interacting circular cylinders: A review, Int. J. Heat Fluid Flow, 62, 510, 10.1016/j.ijheatfluidflow.2016.08.008

2003, Fluctuating fluid forces acting on two circular cylinders in a tandem arrangement at a subcritical Reynolds number, J. Wind Eng. Ind. Aerodyn., 91, 139, 10.1016/s0167-6105(02)00341-0

1984, Characteristics of flow around two circular cylinders arranged in tandem, Bull. JSME, 27, 323, 10.1299/jsme1958.27.2380

2004, Strouhal numbers in the wake of two inline cylinders, Exp. Fluids, 37, 248, 10.1007/s00348-004-0808-0

2005, Flow structure, momentum and heat transport in a two-tandem cylinder wake, J. Fluid Mech., 548, 17, 10.1017/s002211200500738x

2009, Lattice Boltzmann simulations of 2D laminar flows past two tandem cylinders, J. Comput. Phys., 228, 983, 10.1016/j.jcp.2008.10.010

2009, Vortex-induced vibration of two circular cylinders at low Reynolds number, J. Fluids Struct., 25, 731, 10.1016/j.jfluidstructs.2008.12.002

2009, Flow-induced oscillation of two circular cylinders in tandem arrangement at low Re, J. Fluids Struct., 25, 1029, 10.1016/j.jfluidstructs.2009.04.001

2013, The role of wake stiffness on the wake-induced vibration of the downstream cylinder of a tandem pair, J. Fluid Mech., 718, 210, 10.1017/jfm.2012.606

2011, Vortex and wake-induced vibrations of a tandem arrangement of two flexible circular cylinders with near wake interference, J. Fluids Struct., 27, 193, 10.1016/j.jfluidstructs.2010.11.004

2011, Flow-induced vibration of a circular cylinder subjected to wake interference at low Reynolds number, J. Fluids Struct., 27, 503, 10.1016/j.jfluidstructs.2011.04.003

2015, Flow-induced vibrations of two circular cylinders in tandem with sher flow at low Reynolds number, J. Fluids Struct., 59, 224, 10.1016/j.jfluidstructs.2015.08.012

2014, Wake-induced vibrations of a circular cylinder behind a stationary square cylinder using a semi-implicit characteristic-based split scheme, J. Eng. Mech., 140, 04014059, 10.1061/(asce)em.1943-7889.0000727

2017, Flow characteristics and dynamic responses of a rear circular cylinder behind the square cylinder with different side lengths, J. Vibroeng., 19, 2956, 10.21595/jve.2017.17611

2016, Three-dimensional direct numerical simulation of wake transitions of a circular cylinder, J. Fluid Mech., 801, 353, 10.1017/jfm.2016.446

2008, Vortex-induced vibrations of a circular cylinder at low Reynolds numbers, J. Fluid Mech., 594, 463, 10.1017/s0022112007009202

2017, Three-dimensional wake transition for a circular cylinder near a moving wall, J. Fluid Mech., 818, 260, 10.1017/jfm.2017.146

2017, Two- and three-dimensional instabilities in the wake of a circular cylinder near a moving wall, J. Fluid Mech., 812, 435, 10.1017/jfm.2016.810

2019, Control of vortex-induced vibration of a circular cylinder using a pair of air jets at low Reynolds number, Phys. Fluids, 31, 043603, 10.1063/1.5092851

2015, Numerical evaluation of passive control of VIV by small control rods, Appl. Ocean Res., 51, 93, 10.1016/j.apor.2015.03.003

2013, Flow induced vibration of two rigidly coupled circular cylinders in tandem and side-by-side arrangements at a low Reynolds number of 150, Phys. Fluids, 25, 123601, 10.1063/1.4832956

2019, The effect of cubic stiffness nonlinearity on the vortex-induced vibration of a circular cylinder at low Reynolds numbers, Ocean Eng., 173, 12, 10.1016/j.oceaneng.2018.12.039

2003, Vortex-induced vibration of a cylinder with two degrees of freedom, J. Fluids Struct., 17, 1035, 10.1016/s0889-9746(03)00051-3

2018, Numerical simulation on vortex-induced vibration response of two cylinders in tandem arrangements, Chin. J. Hydrodyn., 33, 58, 10.16075/j.cnki.cjhd.2018.01.007

2005, Vortex-induced oscillations at low Reynolds numbers: Hysteresis and vortex-shedding modes, J. Fluids Struct., 20, 1085, 10.1016/j.jfluidstructs.2005.05.011

2016, Numerical simulation and experimental validation for energy harvesting of single-cylinder VIVACE converter with passive turbulence control, Renewable Energy, 85, 1246, 10.1016/j.renene.2015.07.088

2018, Hydrokinetic energy harvesting from flow-induced vibration of a circular cylinder with two symmetrical fin-shaped strips, Energy, 165, 1259, 10.1016/j.energy.2018.10.109

2019, Efficiency investigation on energy harvesting from airflows in HVAC system based on galloping of isosceles triangle sectioned bluff bodies, Energy, 172, 1066, 10.1016/j.energy.2019.02.002