Modeling creeping flows in porous media using regularized Stokeslets

Kamarapu, Suraj Kumar; Jabbarzadeh, Mehdi; Fu, Henry

doi:10.48550/arxiv.2110.05548

Cited by 1 publication

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“…6). This required a thickness of 1.575 µm, which is nine times the screening thickness α [94] of a Brinkman medium with matching resistive properties to the porous medium represented by our random distribution of regularized Stokeslets with density ρ = 240/µm 3 and blob parameter ε = 0.01µm [77]. In calculations of the swimming velocity and velocity field, we gradually increased the thickness of the shell from α −1 , to 3α −1 , to 9α −1 as shown in Fig.…”

Section: Discussionmentioning

confidence: 99%

“…The confining mucus gel is modeled by a layer of randomly distributed static regularized Stokeslets (v = 0 at Stokeslet locations). This is similar to previously employed models [69] and the density and size of the regularized Stokeslets can be chosen to correspond to a Brinkman medium [77]. Modeling confinement typically involves O(10 6 ) regularized Stokeslets, and we use the Kernel Independent Fast Multipole Method [78,79] to solve the system of equations that result from velocity conditions specified at each Stokeslet and the force-and torque free constraints.…”

Section: Hydrodynamic Modelmentioning

confidence: 99%

“…We treat the region around the bacterium with C * > 0.01, corresponding to pH > 4, as the fluid pocket. Outside the fluid pocket is the mucus gel that confines the flow field, represented by a layer of randomly distributed static regularized Stokeslets [77] in a shell.…”

Section: Appendix B: Solution Of Advection-diffusion Problemmentioning

confidence: 99%

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Fore-aft clearance controls how three-dimensional confinement affects micropropulsion

Kamarapu¹,

Jabbarzadeh²,

Fu³

2022

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Systems of active particles are often affected by confinement due to nearby boundaries. Recently, there has been interest in the effect of confinement by complex three dimensional geometries, as might occur in structured environments such as porous media, foams, gels, or biological tissues and ducts. The effects of confinement for particles moving along boundaries has been extensively studied, but in three dimensions active particles move not only parallel to boundaries, but also towards or away from boundaries. The consequences of this fore-aft clearance is less well understood. Swimmers that actively remodel their environment create an ideal situation to study the effect of clearance, since they maintain a steady clearance while translating. By numerically studying the locomotion of the bacterium Helicobacter pylori, which de-gels surrounding gastric mucus to make a comoving pocket of fluid around itself, we show that the effect of three-dimensional confinement is controlled by clearance, rather than distance from a parallel boundary. Analytical calculations show that the effect of clearance can be understood in terms of flow structures, such as the generic pusher and puller flows of active particles, indicating that our results should apply to a wide range of confined active particles.

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Section: Discussionmentioning

confidence: 99%