zbMATH — the first resource for mathematics

Intermittency in free vibration of a cylinder beyond the laminar regime. (English) Zbl 1415.76133
Summary: Vortex-induced vibration of a circular cylinder that is free to move in the transverse $$(Y)$$ and streamwise $$(X)$$ directions is investigated at subcritical Reynolds numbers $$(1500\lesssim Re\lesssim 9000)$$ via three-dimensional (3-D) numerical simulations. The mass ratio of the system for all the simulations is $$m^*=10$$. It is observed that while some of the characteristics associated with the $$XY$$-oscillation are similar to those of the $$Y$$-only oscillation (in line with the observations made by N. Jauvtis and C. H. K. Williamson [ibid. 509, 23–62 (2004; Zbl 1163.76348)], notable differences exist between the two systems with respect to the transition between the branches of the cylinder response in the lock-in regime. The flow regime between the initial and lower branch is characterized by intermittent switching in the cylinder response, aerodynamic coefficients and modes of vortex shedding. Similar to the regime of laminar flow, the system exhibits a hysteretic response near the lower- and higher-$$Re$$ end of the lock-in regime. The frequency spectrum of time history of the cylinder response shows that the most dominant frequency in the streamwise oscillation on the initial branch is the same as that of the transverse oscillation.
MSC:
 76D05 Navier-Stokes equations for incompressible viscous fluids 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 76D17 Viscous vortex flows 76D25 Wakes and jets 74H45 Vibrations in dynamical problems in solid mechanics
Full Text:
References:
 [1] Bearman, P. W., Circular cylinder wakes and vortex-induced vibrations, J. Fluids Struct., 27, 648-658, (2011) [2] Blackburn, H. M.; Marques, F.; Lopez, J. M., Symmetry breaking of two-dimensional time-periodic wakes, J. Fluid Mech., 522, 395-411, (2005) · Zbl 1065.76097 [3] Bourguet, R.; Lo Jacono, D., In-line flow-induced vibrations of a rotating cylinder, J. Fluid Mech., 781, 127-165, (2015) · Zbl 1359.76099 [4] Govardhan, R.; Williamson, C. H. K., Modes of vortex formation and frequency response of a freely vibrating cylinder, J. Fluid Mech., 420, 85-130, (2000) · Zbl 0988.76027 [5] Govardhan, R.; Williamson, C. H. K., Resonance forever: existence of a critical mass and an infinite regime of resonance in vortex-induced vibration, J. Fluid Mech., 473, 147-166, (2002) · Zbl 1024.76507 [6] Govardhan, R.; Williamson, C. H. K., Defining the modified Griffin plot in vortex-induced vibration: revealing the effect of Reynolds number using controlled damping, J. Fluid Mech., 561, 147-180, (2006) · Zbl 1103.74026 [7] Jauvtis, N.; Williamson, C. H. K., The effect of two degrees of freedom on vortex-induced vibration at low mass and damping, J. Fluid Mech., 509, 23-62, (2004) · Zbl 1163.76348 [8] Khalak, A.; Williamson, C. H. K., Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping, J. Fluids Struct., 13, 7, 813-851, (1999) [9] Lighthill, J., Wave loading on offshore structures, J. Fluid Mech., 173, 667-681, (1986) [10] ; Mittal, S., Free vibrations of a cylinder: 3-D computations at Re = 1000, J. Fluids Struct., 41, 109-118, (2013) [11] ; Mittal, S., The critical mass phenomenon in vortex-induced vibration at low Re, J. Fluid Mech., 820, 159-186, (2017) · Zbl 1383.76108 [12] ; Yogeswaran, V.; Sen, S.; Mittal, S., Free vibrations of an elliptic cylinder at low Reynolds numbers, J. Fluids Struct., 51, 55-67, (2014) [13] Prasanth, T. K.; Mittal, S., Vortex-induced vibrations of a circular cylinder at low Reynolds numbers, J. Fluid Mech., 594, 463-491, (2008) · Zbl 1159.76316 [14] Ryan, K. C.; Thompson, M. C.; Hourigan, K., Variation in the critical mass ratio of a freely oscillating cylinder as a function of Reynolds number, Phys. Fluids, 17, 3, (2005) · Zbl 1187.76455 [15] Sarpkaya, T., A critical review of the intrinsic nature of vortex-induced vibrations, J. Fluids Struct., 19, 389-447, (2004) [16] Singh, S. P.; Mittal, S., Vortex-induced oscillations at low Reynolds numbers: hysteresis and vortex-shedding modes, J. Fluids Struct., 20, 8, 1085-1104, (2005) [17] Williamson, C. H. K.; Govardhan, R., Vortex-induced vibrations, Annu. Rev. Fluid Mech., 36, 413-455, (2004) · Zbl 1125.74323 [18] Williamson, C. H. K.; Roshko, A., Vortex formation in the wake of an oscillating cylinder, J. Fluids Struct., 2, 4, 355-381, (1988) [19] Zhao, J.; Leontini, J. S.; Lo Jacono, D.; Sheridan, J., Chaotic vortex induced vibrations, Phys. Fluids, 26, 12, (2014)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.