Creeping flow of a sphere nearby a cylinder

Yao, Xin; Marcos, .

doi:10.1016/j.apm.2019.11.012

Cited by 3 publications

(3 citation statements)

References 28 publications

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“…It is clear that the viscosity contrast does not seem to have a significant effect for the range considered in this work. This is also in conformity of the finding of Salama [ 16 , 17 , 18 ] upon the study of the critical velocity of dislodgment of the breakup scenario of a permeating velocity. The effects of the spatial resolution of the mesh are depicted in Figure 18 , from which it is clear that the developed algorithm is accurate even with a relatively coarse mesh.…”

Section: Benchmarking and Comparisonssupporting

confidence: 92%

“…Numerically, both solid particles and droplets are handled differently. In the case of a spherical solid particle moving in a quiescent fluid, the fluid domain, excluding the particle, is discretized and the solution is obtained within the fluid domain [ 15 , 16 , 17 , 18 , 19 , 20 ]. This will not be the case when the spherical object is a droplet of an immiscible fluid [ 9 , 10 , 11 , 12 , 13 , 14 ].…”

Section: Introductionmentioning

confidence: 99%

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A Unified, One Fluid Model for the Drag of Fluid and Solid Dispersals by Permeate Flux towards a Membrane Surface

2021

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The drag of dispersals towards a membrane surface is a consequence of the filtration process. It also represents the first step towards the development of the problem of fouling. In order to combat membrane fouling, it is important to understand such drag mechanisms and provide a modeling framework. In this work, a new modeling and numerical approach is introduced that is based on a one-domain model in which both the dispersals and the surrounding fluid are dealt with as a fluid with heterogeneous property fields. Furthermore, because of the fact that the geometry of the object assumes axial symmetry and the configuration remains fixed, the location of the interface may be calculated using geometrical relationships. This alleviates the need to define an indicator function and solve a hyperbolic equation to update the configuration. Furthermore, this approach simplifies the calculations and significantly reduces the computational burden required otherwise if one incorporates a hyperbolic equation to track the interface. To simplify the calculations, we consider the motion of an extended cylindrical object. This allows a reduction in the dimensions of the problem to two, thereby reducing the computational burden without a loss of generality. Furthermore, for this particular case there exists an approximate analytical solution that accounts for the effects of the confining boundaries that usually exist in real systems. We use such a setup to provide the benchmarking of the different averaging techniques for the calculations of properties at the cell faces and center, particularly in the cells involving the interface.

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Section: Benchmarking and Comparisonssupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

A Unified, One Fluid Model for the Drag of Fluid and Solid Dispersals by Permeate Flux towards a Membrane Surface

2021

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“…where the superscript (j) refers to the jth reflection (j = 1, 2, 3...) and subscripts a, b refer to the boundary condition satisfying sphere A and sphere B, respectively. Each reflection of v satisfies the governing equations and the boundary conditions resulting from the previous reflections (Yao & Marcos, 2020). Thus, the following expressions can be obtained:…”

Section: Calculation Procedures Based On the Methods Of Reflectionsmentioning

confidence: 99%

Interaction between two spheres under a uniform electric field in a porous medium

Yao

Marcos

2021

Chemical Engineering Science

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A numerical approach to overcome the very-low Reynolds number limitation of the artificial compressibility for incompressible flows

Monokrousos,

Könözsy,

Pachidis

et al. 2024

Heliyon

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Creeping flow of a sphere nearby a cylinder

Cited by 3 publications

References 28 publications

A Unified, One Fluid Model for the Drag of Fluid and Solid Dispersals by Permeate Flux towards a Membrane Surface

A Unified, One Fluid Model for the Drag of Fluid and Solid Dispersals by Permeate Flux towards a Membrane Surface

Interaction between two spheres under a uniform electric field in a porous medium

A numerical approach to overcome the very-low Reynolds number limitation of the artificial compressibility for incompressible flows

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