Numerical simulation of viscous oscillatory flow past four cylinders in square arrangement

Anagnostopoulos, Petros V.; Dikarou, Ch.

doi:10.1016/j.jfluidstructs.2010.10.005

Cited by 25 publications

(11 citation statements)

References 23 publications

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“…Coenen (2013) analysed the oscillatory flow around a pair of circular cylinders of unequal diameter and observed the jet eruptions from the cylinder surfaces. The oscillatory flows past four circular cylinders were simulated by Dikarou (2011) andChern, Shiu &Horng (2013). The steady streaming structures around a square cylinder (Bearman et al 1984;Zheng & Dalton 1999), two square cylinders (Chern et al 2010), a sphere (Riley 1966;Zhao, Sadhal & Trinh 1999) and a spheroid (Rednikov & Sadhal 2004) have also been investigated.…”

Section: Introductionmentioning

confidence: 99%

Numerical studies on the dynamics of an open triangle in a vertically oscillatory flow

Shao

Zhang

et al. 2016

J. Fluid Mech.

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A direct-forcing fictitious domain method is employed to study the dynamics of an open triangle in a vertically oscillatory flow. The flow structures, the vertical force and the torque on the fixed body are analysed for the stable flow regime in which the flow structures form and evolve exactly in the same way in each period and the unstable regime, respectively. Our results indicate that in the stable flow regime for the body with upright orientation, the steady streaming structure mainly comprises two vortex pairs located respectively above and below the body. Due to up-down asymmetry of the body, the pair below the body produces a larger vertical force on the body than the upper pair, which is mainly responsible for the non-zero average force at relatively high Reynolds numbers. The average force increases with increasing Reynolds number or increasing dimensionless period for the parameter range studied, due to the vortex effects. In the unstable regime, a vortex pair is ejected downward from each body edge. The irregular motion of the emitted vortices below the body leads to the irregular fluctuation of the vertical force. Regarding the torque on a tilted body, in the stable regime, the body experiences a restoring torque when its vertex angle is larger than a critical value being close to (and smaller than) 60 • , and otherwise a destructive torque, irrespective of the value of tilt angle. For a fixed vertex angle, the torque magnitude is largest when the tilt angle is around 45 • . In the unstable regime, the persistent ejection of the vortex pair during upward flow and corresponding restoring torque are observed for a large tilt angle with one edge aligned close to the horizontal direction, as in the experiment of Liu et al. (Phys. Rev. Lett., vol. 108, 2012, 068103). For a relatively small tilt angle, the emission direction of the vortex pair has intermittency, leading to the intermittency in the direction of torque. The reasons for the above observations are discussed. The predictions on the stable orientation for a hovering body in the stable flow regime and the irregular orientation in the unstable regime are confirmed in the dynamic simulation of a freely moving body. The body with the stable horizontal orientation in case of small vertex angle migrates along the body-shape-diverging direction.

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Section: Introductionmentioning

confidence: 99%

Numerical studies on the dynamics of an open triangle in a vertically oscillatory flow

Shao

Zhang

et al. 2016

J. Fluid Mech.

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“…Oscillatory flow past four cylinders in a square arrangement was also studied numerically due to its engineering importance. 43,44 While flow past four cylinders has been studied extensively, the studies of the VIV of four cylinders in fluid flow are very rare. Zhao and Cheng 45 studied response of four cylinders in a square arrangement with a constant spacing ratio of 3 and various flow approaching angles numerically.…”

Section: Introductionmentioning

confidence: 99%

Vortex-induced vibration of four cylinders in an in-line square configuration

et al. 2016

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“…Authors concluded that spacing ratio, aspect ratio, and the no-slip end wall condition have a combined influence on the flow properties and affect the pressure and force coefficients considerably. Anagnostopoulos and Dikarou (2011) presented results of a numerical simulation of viscous oscillating flow past four circular cylinders for a constant frequency parameter value of 50 and Keulegan-Carpenter number varying between 0.2 and 10. Flow characteristics were found to be symmetric and periodic for lower KC values (o4) and beyond that asymmetries along with aperiodicity of flow in different cycles were observed leading to an almost chaotic flow behavior.…”

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confidence: 99%

Numerical investigation of flow past single and tandem cylindrical bodies in the vicinity of a plane wall

Harichandan

Roy

2012

Journal of Fluids and Structures

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Numerical simulation of viscous oscillatory flow past four cylinders in square arrangement

Cited by 25 publications

References 23 publications

Numerical studies on the dynamics of an open triangle in a vertically oscillatory flow

Numerical studies on the dynamics of an open triangle in a vertically oscillatory flow

Vortex-induced vibration of four cylinders in an in-line square configuration

Numerical investigation of flow past single and tandem cylindrical bodies in the vicinity of a plane wall

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