# Squirming motion in a Brinkman medium

@article{Nganguia2018SquirmingMI, title={Squirming motion in a Brinkman medium}, author={Herve Nganguia and On Shun Pak}, journal={Journal of Fluid Mechanics}, year={2018}, volume={855}, pages={554 - 573} }

Micro-organisms encounter heterogeneous viscous environments consisting of networks of obstacles embedded in a viscous fluid medium. In this paper we analyse the characteristics of swimming in a porous medium modelled by the Brinkman equation via a spherical squirmer model. The idealized geometry allows an analytical and exact solution of the flow surrounding a squirmer. The propulsion speed obtained agrees with previous results using the Lorentz reciprocal theorem. Our analysis extends these…

## 18 Citations

### Squirming in a viscous fluid enclosed by a Brinkman medium.

- BiologyPhysical review. E
- 2020

A minimal theoretical model is presented to investigate how heterogeneity created by a swimmer affects its own locomotion and reveals the existence of a minimum threshold size of mucus gel that a Swimmer needs to liquify in order to gain any enhancement in swimming speed.

### Swimming sheet in a viscosity-stratified fluid

- PhysicsJournal of Fluid Mechanics
- 2020

In this work, we theoretically investigate the motion of a Taylor swimming sheet immersed in a viscosity-stratified fluid. The propulsion of the swimmer disturbs the surrounding fluid, which…

### Effective medium model for a suspension of active swimmers

- Environmental SciencePhysics of Fluids
- 2021

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…

### Axisymmetric squirmers in Stokes fluid with nonuniform viscosity

- Physics
- 2019

The ciliary locomotion and feeding of an axisymmetric micro-swimmer in a complex fluid whose viscosity depends on nutrient concentration are investigated numerically. The micro-swimmer is modeled as…

### A three-dimensional model of flagellar swimming in a Brinkman fluid

- PhysicsJournal of Fluid Mechanics
- 2019

We investigate three-dimensional flagellar swimming in a fluid with a sparse network of stationary obstacles or fibres. The Brinkman equation is used to model the average fluid flow where a…

### Dynamics of Swimmers in Fluids with Resistance

- Biology
- 2020

This work investigates the dynamics of swimming when varying the resistance parameter, head or cell body radius, and preferred beat form parameters, and determines that increased swimming speed occurs for a smaller cellBody radius and smaller fluid resistance.

### Wall-curvature driven dynamics of a microswimmer

- PhysicsPhysical Review Fluids
- 2021

Microorganisms navigate through fluid, often confined by complex environments, to survive and sustain life. Inspired by this fact, we consider a model system and seek to understand the wall curvature…

### Squirmer locomotion in a yield stress fluid

- EngineeringJournal of Fluid Mechanics
- 2022

Abstract An axisymmetric squirmer in a Bingham viscoplastic fluid is studied numerically to determine the effect of a yield stress environment on locomotion. The nonlinearity of the governing…

### Helical locomotion in a porous medium.

- EngineeringPhysical review. E
- 2020

A theoretical model is presented to examine how the additional resistance due to the network of stationary obstacles in a porous medium affects helical locomotion and elucidate the subtle and significant differences between torqued helical propulsion versus force-free and torque-free swimming in a pores medium.

### Modeling creeping flows in porous media using regularized Stokeslets

- Physics
- 2021

Flows in porous media in the low Reynolds number regime are often modeled by the Brinkman equations. Analytical solutions to these equations are limited to standard geometries. Finite volume or…

## References

SHOWING 1-10 OF 84 REFERENCES

### Hydrodynamic interaction of two swimming model micro-organisms

- PhysicsJournal of Fluid Mechanics
- 2006

In order to understand the rheological and transport properties of a suspension of swimming micro-organisms, it is necessary to analyse the fluid-dynamical interaction of pairs of such swimming…

### Swimming in a two-dimensional Brinkman fluid: Computational modeling and regularized solutions

- Mathematics
- 2016

The incompressible Brinkman equation represents the homogenized fluid flow past obstacles that comprise a small volume fraction. In nondimensional form, the Brinkman equation can be characterized by…

### Locomotion of a microorganism in weakly viscoelastic liquids.

- EngineeringPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

Results show that "neutral" squirmers are unaffected by viscoelasticity, whereas "pullers" and "pushers" are slowed down and hastened, respectively, and the power dissipated by the swimming microorganism and the "swimming efficiency" are analytically quantified.

### Swimming speeds of filaments in viscous fluids with resistance.

- EngineeringPhysical review. E
- 2016

Comparisons between the asymptotic analysis and computation give insight on the effect of the length of the filament, the permeability, and the thickness of the cylinder in terms of the overall performance of planar and helical swimmers.

### Computation of three-dimensional Brinkman flows using regularized methods

- Physics, MathematicsJ. Comput. Phys.
- 2010

### Swimming Dynamics Near a Wall in a Weakly Elastic Fluid

- PhysicsJ. Nonlinear Sci.
- 2015

The results illustrate that elastic properties of the background fluid dramatically alter the swimming hydrodynamics and, depending on the initial position and orientation of the microswimmer, its residence time near the surface can increase by an order of magnitude.

### Enhanced low-Reynolds-number propulsion in heterogeneous viscous environments.

- EngineeringPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

The results of the rigorous numerical simulation of the rotating helical filament propelled through a random sparse array of stationary obstructions are in close agreement with predictions of the proposed resistive force theory based on effective media approximation.

### Nutrient Uptake by a Self‐Propelled Steady Squirmer

- Physics
- 2003

Summary In this paper we study nutrient uptake by a very simple model of a swimming microorganism, a sphere moving its surface tangentially to itself with constant concentration on the surface. The…

### Analysis of the Brinkman equation as a model for flow in porous media

- Physics
- 1987

The fundamental solution or Green's function for flow in porous media is determined using
Stokesian dynamics, a molecular-dynamics-like simulation method capable of describing the
motions and…

### A squirmer across Reynolds numbers

- PhysicsJournal of Fluid Mechanics
- 2016

The self-propulsion of a spherical squirmer – a model swimming organism that achieves locomotion via steady tangential movement of its surface – is quantified across the transition from viscously to…