Squirming motion in a Brinkman medium

Nganguia, Herve; Pak, On Shun

doi:10.1017/jfm.2018.685

Cited by 35 publications

(41 citation statements)

References 67 publications

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“…Moreover, from the expression of U , we identify that in the limit Φ → 1, U asymptotically diminishes. Similar behavior is observed in the case of a single squirmer in a passive Brinkman medium [69].…”

Section: A Migration Velocitysupporting

confidence: 76%

Effective medium model for a suspension of active swimmers

Dhar,

Burada,

Sekhar

2021

Preprint

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Several active organisms in nature tend to reside as a community in a viscous fluid medium.We analyze the variation of swimming characteristics of an active swimmer present in a dilute and disperse suspension, modeled as an effective Brinkman medium. This idealized representation of a collection of active swimmers allows one to distinguish the impact of the interior domain available to an individual swimmer as well as the contribution of its neighbours. The Darcy's law along with the analytical solution enable the effective resistivity to be predicted as a function of the volume fraction which is in close agreement with the well known Carman-Kozeny equation. This facilitates the successive analysis of the propulsion speed, power dissipation, and swimming efficiency of the targeted swimmer as a function of the volume fraction which are decisive in nutrient transport and uptake or reproduction in a collective environment. A stress-jump condition is also imposed across a cell to indicate a mean effective force due to the nearby swimmers. At suitable values of this stress-jump coefficient, the relative increase of the migration velocity and swimming efficiency is noticeably higher at an optimum occupancy.

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Section: A Migration Velocitysupporting

confidence: 76%

Effective medium model for a suspension of active swimmers

Dhar,

Burada,

Sekhar

2021

Preprint

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“…To describe the confinement for active droplets, we use the thin film approximation by Brinkman and others [73,[85][86][87][88][89]. Here we assume that the pressure is constant along the vertical z direction, p(x, y, z) = p(x, y), in Cartesian coordinates, and the flow velocity follows a Poiseuille profile,…”

Section: Squirmer In a Brinkman Medium A Brinkman Equationsmentioning

confidence: 99%

Collective entrainment and confinement amplify transport by schooling micro-swimmers

Jin,

Chen,

Maass

et al. 2021

Preprint

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Micro-swimmers can serve as cargo carriers that move deep inside complex flow networks. When a school collectively entrains the surrounding fluid, their transport capacity can be enhanced. This effect is quantified with good agreement between experiments with self-propelled droplets and a confined Brinkman squirmer model. The volume of liquid entrained can be much larger than the droplet itself, amplifying the effective cargo capacity over an order of magnitude, even for dilute schools. Hence, biological and engineered swimmers can efficiently transport materials into confined environments.

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“…Since we wish to account for stationary and sparse obstacles that will represent mucin or other fibers or cells in the fluid, the Brinkman equation can be used [11,[32][33][34][35]. Different types of micro-swimmers in a Brinkman fluid have been successfully studied [27,28,[36][37][38] and we use a similar approach. The non-dimensional and incompressible Brinkman equation is…”

Section: Fluid Modelmentioning

confidence: 99%

Dynamics of Swimmers in Fluids with Resistance

Jeznach

Olson

2020

Fluids

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Micro-swimmers such as spermatozoa are able to efficiently navigate through viscous fluids that contain a sparse network of fibers or other macromolecules. We utilize the Brinkman equation to capture the fluid dynamics of sparse and stationary obstacles that are represented via a single resistance parameter. The method of regularized Brinkmanlets is utilized to solve for the fluid flow and motion of the swimmer in 2-dimensions when assuming the flagellum (tail) propagates a curvature wave. Extending previous studies, we investigate the dynamics of swimming when varying the resistance parameter, head or cell body radius, and preferred beat form parameters. For a single swimmer, we determine that increased swimming speed occurs for a smaller cell body radius and smaller fluid resistance. Progression of swimmers exhibits complex dynamics when considering hydrodynamic interactions; attraction of two swimmers is a robust phenomenon for smaller beat amplitude of the tail and smaller fluid resistance. Wall attraction is also observed, with a longer time scale of wall attraction with a larger resistance parameter.

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Squirming motion in a Brinkman medium

Cited by 35 publications

References 67 publications

Effective medium model for a suspension of active swimmers

Effective medium model for a suspension of active swimmers

Collective entrainment and confinement amplify transport by schooling micro-swimmers

Dynamics of Swimmers in Fluids with Resistance

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