Drag force on a circular cylinder midway between two parallel plates at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si23.gif" display="inline" overflow="scroll"><mml:mi mathvariant="italic">Re</mml:mi><mml:mo>≪</mml:mo><mml:mn>1</mml:mn></mml:math>Part 2: moving uniformly (numerical and experimental)

Richou, A. Ben; Ambari, Abdelhak; Lebey, Michel; Naciri, Jâafar Khalid

doi:10.1016/j.ces.2004.08.050

Cited by 32 publications

(18 citation statements)

References 21 publications

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“…(4); its values in the oscillating and stationary regimes are plotted in Figure 4. In both cases, the experimental variation of λ s with D/H is similar to that predicted by Ben Richou et al 8,9 (also plotted on the figure). The difference between the experimental and predicted data is at most 15% and is likely due to the difference between the Reynolds numbers used by these authors, which are lower by a factor of 10 or more than in the present work; as shown by Hu 6 and Ben Richou, 9 the higher Reynolds number leads to a larger value of λ s .…”

Section: Relations Between Force and Flow/cylinder Velocitiessupporting

confidence: 74%

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Oscillations and translation of a free cylinder in a viscous confined flow

2013

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An oscillatory instability has been observed experimentally on an horizontal cylinder free to move and rotate between two parallel vertical walls of distance H. The vertical motion of the cylinder, its rotation about its axis, and its transverse motion across the gap have been investigated as a function of its diameter D, its density ρs, of the mean vertical velocity U of the fluid, and of its viscosity ν. The relevant Reynolds number Re is shown to be based on the cell aperture H and on the relative velocity Vr between the fluid and the cylinder. For a blockage ratio D/H above 0.5 and Re above 20, oscillations of the rolling angle of the cylinder about its axis and of its transverse coordinate in the gap were observed together with periodic variations of the vertical velocity. For a given fluid-cylinder pair, the relative velocity Vr as well as the frequency f and the amplitude of the transverse velocity for these oscillations are nearly independent of the flow velocity U. For given cylinder density and fluid characteristics, f is also nearly independent of the ratio D/H in the range investigated. The oscillations could be observed down to values of Re as low as 30: this is lower than usual values for vortex shedding in confined geometries, which suggests that one might deal with a different instability mechanism.

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Section: Relations Between Force and Flow/cylinder Velocitiessupporting

confidence: 74%

“…For particles placed in the centre of the channel, Faxen 7 derived the expression of the drag for a confinement D/H less then 0.5; the case of higher confinements has been recently considered by Ben Richou and co-workers. 8,9 An eccentered a) Electronic mail: vdangelo@fi.uba.ar. b) Electronic mail: hulin@fast.u-psud.fr.…”

Section: Introductionmentioning

confidence: 99%

Oscillations and translation of a free cylinder in a viscous confined flow

2013

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“…Therefore, only the salient points are summarized here. In the steady flow regime, the major thrust of these studies has been to develop the necessary corrections for the drag exerted by the fluid on the cylinder, e.g., see [12–14]. Limited results are also available on the influence of confinement on the critical value of the Reynolds number denoting the transition from the steady flow regime to the time‐dependent periodic flow regime [15].…”

Section: Previous Workmentioning

confidence: 99%

Effect of confinement on power‐law fluid flow past a circular cylinder

Rao

Sahu

Chhabra

2011

Polymer Engineering & Sci

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The role of confinement on the flow of power‐law fluids past a cylinder confined symmetrically between two parallel walls has been investigated numerically over wide ranges of conditions as follows: power‐law index (0.4 ≤ n ≤ 1.8), Reynolds number (40 ≤ Re ≤ 140) and blockage ratio (2,4,6). For Newtonian fluids, moderate degree of confinement stabilizes the flow thereby delaying the onset of the laminar vortex shedding regime. Although similar stabilization also occurs in shear‐thickening fluids, this relationship is complex for shear‐thinning fluids. Depending upon the degree of shear‐thinning, the walls may stabilize or destabilize the flow. Extensive results are presented on streamline, vorticity contours and pressure profiles herein. The power‐law behavior exerts significant influence on the macroscopic momentum transfer characteristics also. Thus, the drag and lift coefficients and Strouhal number exhibit complex dependence on Reynolds number, blockage ratio and power‐law index. Finally, the present results are consistent with the limited data available in the literature. POLYM. ENG. SCI., 2011. © 2011 Society of Plastics Engineers

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“…The ''plateau regime'' does not exist in the case of a cylinder moving in infinite medium (as mentioned in the introduction) and is due to the confinement. It is analogous to the regime observed in the dynamic problem for the drag force exerted on the cylinder (Ben Richou et al, 2004, 2005. We call Nu Stokes the solutions corresponding to this purely thermal diffusive regime and we use the term ''thermal Stokes type solutions'' to qualify these solutions similarly to the ''dynamic Stokes type solutions'' of the drag force.…”

Section: Cylinder In Symmetrical Positionmentioning

confidence: 97%