Hydrodynamic drag forces on two porous spheres moving along their centerline

Wu, Rome-Ming; Chung, Hsiao‐Wen; Lee, D.J.

doi:10.1016/j.ces.2003.12.014

Cited by 17 publications

(19 citation statements)

References 28 publications

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“…The results were listed in Table 1 and with an acceptable relative errors. The drag force exerted on the two spheres can be numerically eval- results [36] were also shown as dashed curve lines. Note that although the two systems (2D results from Fidap, or 3D results from FLUENT) have different drag coefficient values, the patterns are similar.…”

Section: Drag Forcementioning

confidence: 99%

3D simulations of hydrodynamic drag forces on two porous spheres moving along their centerline

Wu¹,

Lin²,

Lin³

et al. 2006

Journal of Colloid and Interface Science

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Section: Drag Forcementioning

confidence: 99%

3D simulations of hydrodynamic drag forces on two porous spheres moving along their centerline

Wu¹,

Lin²,

Lin³

et al. 2006

Journal of Colloid and Interface Science

Self Cite

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“…Also, the more nonuniform the floc structure, the more significant the influence of (S/d) on the interaction between two flocs is. According to Wu and Lee [11], for uniformly structured flocs at β = 5 and Re = 40, the drags on both the leading and the rear flocs increase with the increase in S/d. However, because the former approaches a constant value but the latter does not, (C D Ω r /C D Ω l ) increases with (S/d), which is consistent with the result in Fig.…”

Section: Effect Of Separation Distance Between Two Flocsmentioning

confidence: 97%

“…Because floc formation involves nonlinear, stochastic processes its structure is of a complicated nature. Assuming a uniform, porous structure, Wu and Lee [7][8][9][10][11] evaluated the drag on a spherical floc. Other types of structure models were also available in the literature.…”

Section: Introductionmentioning

confidence: 99%

Drag on two coaxial, nonuniformly structured flocs in a uniform flow field

Hsu¹,

Yeh²,

Lee³

2005

Journal of Colloid and Interface Science

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“…Theoretical and experimental studies are found in the literature dealing with the flow past homogeneous porous spheres as well as solid spheres namely: Taneda (1956), Grosan et al (2010), Achenbach (1972), Chang et al (1992), Masliyah et al (1987), Masliyah and Polikar (1980), Nandakumar and Masliyah (1982), Noymer et al (1998), Somasundaram and Mysels (1975), Vainshtein et al (2002), Vainshtein et al (2004), Vann (2000, Wu et al (2004), Wu et al (2006), andHsu et al (2009). In most of those studies, the flow field inside the porous bodies is described by the Darcy equation and the Navier-Stokes equations are used usually under creeping flow conditions to model the flow outside the body.…”

Section: Introductionmentioning

confidence: 99%

Drag and Separation Flow Past Solid Sphere with Porous Shell at Moderate Reynolds Number

Taamneh

Bataineh

2011

Transp Porous Med

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Axisymmetric viscous, two-dimensional steady and incompressible fluid flow past a solid sphere with porous shell at moderate Reynolds numbers is investigated numerically. There are two dimensionless parameters that govern the flow in this study: the Reynolds number based on the free stream fluid velocity and the diameter of the solid core, and the ratio of the porous shell thickness to the square root of its permeability. The flow in the free fluid region outside the shell is governed by the Navier-Stokes equation. The flow within the porous annulus region of the shell is governed by a Darcy model. Using a commercially available computational fluid dynamics (CFD) package, drag coefficient and separation angle have been computed for flow past a solid sphere with a porous shell for Reynolds numbers of 50, 100, and 200, and for porous parameter in the range of 0.025-2.5. In all simulation cases, the ratio of b/a was fixed at 1.5; i.e., the ratio of outer shell radius to the inner core radius. A parametric equation relating the drag coefficient and separation point with the Reynolds number and porosity parameter were obtained by multiple linear regression. In the limit of very high permeability, the computed drag coefficient as well as the separation angle approaches that for a solid sphere of radius a, as expected. In the limit of very low permeability, the computed total drag coefficient approaches that for a solid sphere of radius b, as expected. The simulation results are presented in terms of viscous drag coefficient, separation angles and total drag coefficient. It was found that the total drag coefficient around the solid sphere as well as the separation angle are strongly governed by the porous shell permeability as well as the Reynolds number. The separation point shifts toward the rear stagnation point as the shell permeability is increased. Separation angle and drag coefficient for the special case of a solid sphere of radius r = a was found to be in good agreement with previous experimental results and with the standard drag curve.

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Hydrodynamic drag forces on two porous spheres moving along their centerline

Cited by 17 publications

References 28 publications

3D simulations of hydrodynamic drag forces on two porous spheres moving along their centerline

3D simulations of hydrodynamic drag forces on two porous spheres moving along their centerline

Drag on two coaxial, nonuniformly structured flocs in a uniform flow field

Drag and Separation Flow Past Solid Sphere with Porous Shell at Moderate Reynolds Number

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