Steady and unsteady flow past a rotating circular cylinder at low Reynolds numbers

Badr, H. M.; Dennis, S. C. R.; Young, Peter

doi:10.1016/0045-7930(89)90030-3

Cited by 125 publications

(81 citation statements)

References 10 publications

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“…For the case of the rotating circular cylinder, numerical solutions were carried out for Re = 5, 20 with rotation rates in the range 0.1 ~< f2 ~< 0.5. These were the Re values originally considered by Loc [8] and Ingham [9] and later by Badr et aL [2] and Ingham and Tang [10]. In the present work in all cases the grid size N x M = 80 x 60, the relaxation parameter c~ = 0.05 and ~ = 5 (corresponding to approx.…”

Section: ) )mentioning

confidence: 91%

“…In particular, we quote the results: Convergence could have also been obtained for larger values of the relaxation parameter, expecially for the smaller Re values; however, this question was not studied here. In Table 3 comparisons of Co and CL are drawn with the results of Badr et al [2] and Ingham and Tang [10]. Streamlines for this problem are portrayed in Figs 2 and 3.…”

Section: ) )mentioning

confidence: 99%

“…This creates difficulties when computational methods using finite differences are employed to obtain solutions, since very small grids must be used to capture the details of the solution in the far wake. Badr et al [2], in fact, used a series of successive grid reductions in the wake in computing steady flow past a rotating cylinder, but without attempting to stretch the breadth of the wake. In the present work we deal with this problem by applying a transformation that removes the part of the solution which causes the wake to narrow.…”

Section: Introductionmentioning

confidence: 99%

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A vorticity model for viscous flow past a cylinder

D’Alessio

Dennis

1994

Computers & Fluids

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A~tract--A mathematical model is proposed for the steady two-dimensional flow of a viscous incompressible fluid past a cylinder which incorporates the details of the structure of the vorticity in this case where its behaviour is known. The model is constructed to be consistent both with boundary-layer theory for sutficiently large Reynolds numbers and with the asymptotic solution at large distances from the cylinder. The governing Navier-Stokes equations are transformed to a set of equations which we refer to as the modified Navier-Stokes equations and are then solved numerically. Solutions have been obtained for the cases of flow past a stationary and a rotating circular cylinder and flow past an inclined elliptic cylinder. Good agreement is found with existing results.

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Section: ) )mentioning

confidence: 91%

Section: ) )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A vorticity model for viscous flow past a cylinder

D’Alessio

Dennis

1994

Computers & Fluids

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“…They have also observed that the Strouhal number and the advective speed of the vortices increase with the specific rotation until the suppression of the wake. There are many other applications areas of this kind of study, as the control of the shear layer in airfoils (Badr et al, 1989), in projects of aerodynamics of vehicles and design of heat exchangers. A recent particular emphasis appears from the need to study the three-dimensional effects of the wake behind bodies.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations of flows over a rotating circular cylinder using the immersed boundary method

Silva¹,

Neto²,

Lima³

et al. 2011

J. Braz. Soc. Mech. Sci. & Eng.

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“…Also, Kang et al (1999) found that drag and lift coefficients decrease with an increase in rotation rate. Badr and Dennis (1989) found a decrease in laminar forced convection heat transfer with increasing rotation rate for an isothermal cylinder for Re = 5,10,20,40 and 100 at α ≤ 4. A well-organized numerical study was also published by Ingham (1990).…”

Section: Introductionmentioning

confidence: 99%

Effect of Rotation Rates on the Laminar Flow and Heat Transfer Past a Circular Cylinder

Bouakkaz

Talbi

Ouazzazi

et al. 2015

Braz. J. Chem. Eng.

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-In this work, forced convection heat transfer past a rotating circular cylinder with a constant nondimensional rotation rate α varying from 0 to 6 was investigated for Reynolds numbers of 20-200 and a Prandtl number of 0.7. The numerical calculations are carried out by using a finite-volume method based commercial computational fluid dynamics solver FLUENT. The successive changes in the flow pattern are studied as a function of the rotation rate. Suppression of vortex shedding occurs as the rotation rate increases (α > 2). A second kind of instability appears for higher rotation speed where a series of counter-clockwise vortices is shed in the upper shear layer. The rotation attenuates the secondary instability and increases the critical Reynolds number for the appearance of this instability. In addition, time-averaged (lift and drag coefficients and Nusselt number) results were obtained and compared with the literature data. A good agreement was obtained for both the local and averaged values.

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Steady and unsteady flow past a rotating circular cylinder at low Reynolds numbers

Cited by 125 publications

References 10 publications

A vorticity model for viscous flow past a cylinder

A vorticity model for viscous flow past a cylinder

Numerical simulations of flows over a rotating circular cylinder using the immersed boundary method

Effect of Rotation Rates on the Laminar Flow and Heat Transfer Past a Circular Cylinder

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