On steady flow past a rotating circular cylinder at Reynolds numbers 60 and 100

Tang, Tiantong; Ingham, D.B.

doi:10.1016/0045-7930(91)90034-f

Cited by 80 publications

(38 citation statements)

References 15 publications

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“…It is also noticed that this separation bubble tilts upwards and sits on the shoulder of the cylinder. Similar asymmetrical streamline pattern due to rotation are also reported in [34,35]. A picture with vanishing lower bubble is given in [35] at the Reynolds number of 60 and q = 1.…”

Section: Tip Velocity Ratio Q = 20supporting

confidence: 59%

A pressure-correction method and its applications on an unstructured Chimera grid

Zhang

2008

Computers & Fluids

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In this paper, an unstructured Chimera mesh method is used to compute incompressible flow around a rotating body. To implement the pressure correction algorithm on unstructured overlapping sub-grids, a novel interpolation scheme for pressure correction is proposed. This indirect interpolation scheme can ensure a tight coupling of pressure between sub-domains. A moving-mesh finite volume approach is used to treat the rotating sub-domain and the governing equations are formulated in an inertial reference frame. Since the mesh that surrounds the rotating body undergoes only solid body rotation and the background mesh remains stationary, no mesh deformation is encountered in the computation. As a benefit from the utilization of an inertial frame, tensorial transformation for velocity is not needed. Three numerical simulations are successfully performed. They include flow over a fixed circular cylinder, flow over a rotating circular cylinder and flow over a rotating elliptic cylinder. These numerical examples demonstrate the capability of the current scheme in handling moving boundaries. The numerical results are in good agreement with experimental and computational data in literature.

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Section: Tip Velocity Ratio Q = 20supporting

confidence: 59%

A pressure-correction method and its applications on an unstructured Chimera grid

Zhang

2008

Computers & Fluids

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“…In this representation, the far-ÿeld boundary condition that the ow remains undisturbed needs to be carefully dealt with during numerical implementation [16].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of incompressible viscous flow past a heaving airfoil

Sarkar

Venkatraman

2005

Numerical Methods in Fluids

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SUMMARYNumerical simulations of a heaving airfoil undergoing non-sinusoidal motions in an incompressible viscous ow is presented. In particular, asymmetric sinusoidal motions, constant heave rate oscillations, and sinusoidal motions with a quiescent gap, are considered. The wake patterns, thrust force coe cients, and propulsive e ciency at various values of non-dimensional heave velocity are computed. These have been compared with those of corresponding sinusoidal heaving motions of the airfoil. It is shown that for a given non-dimensional heave velocity and reduced frequency of oscillation, asymmetric sinusoidal motions give better thrust and propulsive e ciencies in comparison to pure harmonic motion. On the other hand, constant rate heave motion do not compare favourably with harmonic motion. A train of sinusoidal pulses separated by a quiescent gap compares favourably with a pure sinusoidal motion, but with the notable exception that the quiescent gap induces a discontinuity that induces large impulses to the wake pattern.

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“…The degree of rotation is often quantified by the nondimensional rotation rate, α = ωd/(2U ), defined as the ratio of the tangential surface speed (ωd/2, with ω the angular velocity) and the free-stream speed U . Many authors, including Tang & Ingham (1991), have shown that imposing a rotation on the body renders the wake asymmetrical and, at Re 60, depending on the rotation rate, the elimination of one or both of the recirculation regions in the wake can be observed. For larger Re, the imposed rotation may also suppress or delay the transition to unsteady flow in comparison to the case of a non-rotating body.…”

Section: Introductionmentioning

confidence: 99%

Two- and three-dimensional wake transitions of an impulsively started uniformly rolling circular cylinder

et al. 2017

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This paper presents the characteristics of the different stages in the evolution of the wake of a circular cylinder rolling without slipping along a wall at constant speed, acquired through numerical stability analysis and two-and three-dimensional numerical simulations. Reynolds numbers between 30 and 300 are considered. Of importance in this study is the transition to three-dimensionality from the underlying two-dimensional periodic flow and, in particular, the way that the associated transitions influence the fluid forces exerted on the cylinder, and the development and the structure of the wake. It is found that the steady two-dimensional flow becomes unstable to threedimensional perturbations at Re c,3D = 37, and that the transition to unsteady twodimensional flow -or periodic vortex shedding -occurs at Re c,2D = 88, thus validating and refining the results of Stewart et al. (2010). The main focus here is for Reynolds numbers beyond the transition to unsteady flow at Re c,2D = 88. From impulsive start up, the wake almost immediately undergoes transition to a periodic two-dimensional wake state, which, in turn, is three-dimensionally unstable. Thus, the previous threedimensional stability analysis based on the two-dimensional steady flow provides only an element of the full story. Floquet analysis based on the periodic two-dimensional flow was undertaken and new three-dimensional instability modes were revealed. The results suggest that an impulsively started cylinder rolling along a surface at constant velocity for Re 90 will result in the rapid development of a periodic two-dimensional wake that will be maintained for a considerable time prior to the wake undergoing threedimensional transition. Of interest, the mean lift and drag coefficients obtained from full three-dimensional simulations match predictions from two-dimensional simulations to within a few percent.

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On steady flow past a rotating circular cylinder at Reynolds numbers 60 and 100

Cited by 80 publications

References 15 publications

A pressure-correction method and its applications on an unstructured Chimera grid

A pressure-correction method and its applications on an unstructured Chimera grid

Numerical simulation of incompressible viscous flow past a heaving airfoil

Two- and three-dimensional wake transitions of an impulsively started uniformly rolling circular cylinder

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