Motions of a porous particle in stokes flow part 2. Linear flows near a fluid interface

1989 ◽  
Vol 6 (3) ◽  
pp. 234-245 ◽  
Author(s):  
Seung-Man Yang ◽  
Won-Hi Hong
Keyword(s):  
Stokes Flow ◽  
Porous Particle ◽  
Fluid Interface ◽  
Flow Part ◽  
Linear Flows

BOUNDARY INTEGRAL EQUATIONS FOR A THREE-DIMENSIONAL STOKES–BRINKMAN CELL MODEL

2008 ◽  
Vol 18 (12) ◽  
pp. 2055-2085 ◽  
Author(s):  
MIRELA KOHR ◽  
G. P. RAJA SEKHAR ◽  
WOLFGANG L. WENDLAND
Keyword(s):  
Stokes Flow ◽  
Existence And Uniqueness ◽  
Stokes Equations ◽  
Boundary Integral Equations ◽  
Cell Model ◽  
Uniqueness Result ◽  
Boundary Integral ◽  
Porous Particle ◽  
Brinkman Equation ◽  
Special Cases

The purpose of this paper is to prove the existence and uniqueness of the solution in Sobolev or Hölder spaces for a cell model problem which describes the Stokes flow of a viscous incompressible fluid in a bounded region past a porous particle. The flow within the porous particle is described by the Brinkman equation. In order to obtain the desired existence and uniqueness result, we use an indirect boundary integral formulation and potential theory for both Brinkman and Stokes equations. Some special cases, which refer to the cell model for a porous particle with large permeability, or to the exterior Stokes flow past a porous particle, are also presented.

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

2017 ◽  
Vol 17 (3) ◽  
pp. 397-412 ◽  
Author(s):  
Aixia Guo ◽  
Tsorng-Whay Pan ◽  
Jiwen He ◽  
Roland Glowinski
Keyword(s):  
Fluid Flow ◽  
Numerical Methods ◽  
Stokes Flow ◽  
Shear Flows ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Numerical Results ◽  
Porous Particle ◽  
Particle Interactions ◽  
New Methods

AbstractIn 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.

scholarly journals Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions

1993 ◽  
Vol 251 ◽  
pp. 443-477 ◽  
Author(s):  
Ivan L. Claeys ◽  
John F. Brady
Keyword(s):  
Stokes Flow ◽  
Simulation Method ◽  
Companion Paper ◽  
Isotropic Phase ◽  
Ewald Summation ◽  
Aspect Ratios ◽  
Slow Decay ◽  
Prolate Spheroids ◽  
Flow Part ◽  
Hard Ellipsoid

The simulation method for prolate spheroids in Stokes flow introduced in a companion paper (Claeys & Brady 1993a) is extended to handle statistically homogeneous unbounded dispersions. The convergence difficulties associated with the slow decay of velocity disturbances at zero Reynolds number are overcome by applying O';Brien's renormalization procedure. The Ewald summation technique is employed to accelerate the evaluation of all mobility interactions. As a first application of this new method, the hydrodynamic transport properties of equilibrium hard-ellipsoid structures are calculated for aspect ratios ranging from 3 to 50. Calculated viscosities in the isotropic phase agree reasonably well with published experimental measurements.

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