Numerical Methods for Simulating the Motion of Porous Balls in Simple 3D Shear Flows under Creeping Conditions

Aixia Guo; Tsorng Whay Pan; Jiwen He; Roland Glowinski

doi:10.1515/cmam-2017-0012

Numerical Methods for Simulating the Motion of Porous Balls in Simple 3D Shear Flows under Creeping Conditions

Aixia Guo, Tsorng Whay Pan^*, Jiwen He, Roland Glowinski

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

3 Citations (Scopus)

Abstract

In this article, two novel numerical methods have been developed for simulating fluid/porous particle interactions in three-dimensional (3D) Stokes flow. The Brinkman-Debye-Bueche model is adopted for the fluid flow inside the porous particle, being coupled with the Stokes equations for the fluid flow outside the particle. The rotating motion of a porous ball and the interaction of two porous balls in bounded shear flows have been studied by these two new methods. The numerical results show that the porous particle permeability has a strong effect on the interaction of two porous balls.

Original language	English
Pages (from-to)	397-412
Number of pages	16
Journal	Computational Methods in Applied Mathematics
Volume	17
Issue number	3
DOIs	https://doi.org/10.1515/cmam-2017-0012
Publication status	Published - 1 Jul 2017

User-Defined Keywords

Brinkman-Debye-Bueche Model
Porous Particles
Stokes Flow, Particle Suspension

Access to Document

10.1515/cmam-2017-0012

Cite this

@article{034c25113dd444d5b0530d3d99570bbe,

title = "Numerical Methods for Simulating the Motion of Porous Balls in Simple 3D Shear Flows under Creeping Conditions",

abstract = "In this article, two novel numerical methods have been developed for simulating fluid/porous particle interactions in three-dimensional (3D) Stokes flow. The Brinkman-Debye-Bueche model is adopted for the fluid flow inside the porous particle, being coupled with the Stokes equations for the fluid flow outside the particle. The rotating motion of a porous ball and the interaction of two porous balls in bounded shear flows have been studied by these two new methods. The numerical results show that the porous particle permeability has a strong effect on the interaction of two porous balls.",

keywords = "Brinkman-Debye-Bueche Model, Porous Particles, Stokes Flow, Particle Suspension",

author = "Aixia Guo and Pan, {Tsorng Whay} and Jiwen He and Roland Glowinski",

note = "Publisher Copyright: {\textcopyright} 2017 Walter de Gruyter GmbH, Berlin/Boston 2017.",

year = "2017",

month = jul,

day = "1",

doi = "10.1515/cmam-2017-0012",

language = "English",

volume = "17",

pages = "397--412",

journal = "Computational Methods in Applied Mathematics",

issn = "1609-4840",

publisher = "Walter de Gruyter GmbH",

number = "3",

}

TY - JOUR

T1 - Numerical Methods for Simulating the Motion of Porous Balls in Simple 3D Shear Flows under Creeping Conditions

AU - Guo, Aixia

AU - Pan, Tsorng Whay

AU - He, Jiwen

AU - Glowinski, Roland

PY - 2017/7/1

Y1 - 2017/7/1

N2 - In this article, two novel numerical methods have been developed for simulating fluid/porous particle interactions in three-dimensional (3D) Stokes flow. The Brinkman-Debye-Bueche model is adopted for the fluid flow inside the porous particle, being coupled with the Stokes equations for the fluid flow outside the particle. The rotating motion of a porous ball and the interaction of two porous balls in bounded shear flows have been studied by these two new methods. The numerical results show that the porous particle permeability has a strong effect on the interaction of two porous balls.

AB - In this article, two novel numerical methods have been developed for simulating fluid/porous particle interactions in three-dimensional (3D) Stokes flow. The Brinkman-Debye-Bueche model is adopted for the fluid flow inside the porous particle, being coupled with the Stokes equations for the fluid flow outside the particle. The rotating motion of a porous ball and the interaction of two porous balls in bounded shear flows have been studied by these two new methods. The numerical results show that the porous particle permeability has a strong effect on the interaction of two porous balls.

KW - Brinkman-Debye-Bueche Model

KW - Porous Particles

KW - Stokes Flow, Particle Suspension

UR - http://www.scopus.com/inward/record.url?scp=85021734074&partnerID=8YFLogxK

U2 - 10.1515/cmam-2017-0012

DO - 10.1515/cmam-2017-0012

M3 - Journal article

AN - SCOPUS:85021734074

SN - 1609-4840

VL - 17

SP - 397

EP - 412

JO - Computational Methods in Applied Mathematics

JF - Computational Methods in Applied Mathematics

IS - 3

ER -

Numerical Methods for Simulating the Motion of Porous Balls in Simple 3D Shear Flows under Creeping Conditions

Abstract

User-Defined Keywords

Access to Document

Other files and links

Fingerprint

Cite this