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Suspensions of self-propelled particles are studied in the framework of two-dimensional (2D) Stokesean hydrodynamics. A formula is obtained for the effective viscosity of such suspensions in the limit of small concentrations. This formula…

Biological Physics · Physics 2009-11-13 Brian M. Haines , Igor S. Aranson , Leonid Berlyand , Dmitry A. Karpeev

Active matter exhibits various forms of non-equilibrium states in the absence of external forcing, including macroscopic steady-state currents. Such states are often too complex to be modelled from first principles and our understanding of…

Soft Condensed Matter · Physics 2020-09-17 Viktor Škultéty , Cesare Nardini , Joakim Stenhammar , Davide Marenduzzo , Alexander Morozov

As a paradigmatic model of active fluids, bacterial suspensions show intriguing rheological responses drastically different from their counterpart colloidal suspensions. Although the flow of bulk bacterial suspensions has been extensively…

Soft Condensed Matter · Physics 2019-06-11 Zhengyang Liu , Kechun Zhang , Xiang Cheng

We investigate dense suspensions of swimming bacteria prepared in a nutrient-exchange chamber. Near the pellet concentration, nonthermal fluctuations showed notable agreement between self and collective behaviors, a phenomenon not…

Soft Condensed Matter · Physics 2024-02-02 Yujiro Sugino , Hiroyuki Ebata , Yoshiyuki Sowa , Atsushi Ikeda , Daisuke Mizuno

A simple model for simulating flows of active suspensions is investigated. The approach is based on dissipative particle dynamics. While the model is potentially applicable to a wide range of self-propelled particle systems, the specific…

Fluid Dynamics · Physics 2015-10-08 Denis F. Hinz , Alexander Panchenko , Tae-Yeon Kim , Eliot Fried

The rheology of semidilute bacterial suspensions is studied with the tools of kinetic theory, considering binary interactions, going beyond the ideal gas approximation. Two models for the interactions are considered, which encompass both…

Soft Condensed Matter · Physics 2019-01-31 Marcelo Guzman , Rodrigo Soto

We analyze a minimal model for a rigid spherical microswimmer and explore the consequences of its extended surface on the interplay between its self-propulsion and flow properties. The model is the first order representation of…

Soft Condensed Matter · Physics 2017-12-06 Tapan Chandra Adhyapak , Sara Jabbari-Farouji

To survive in harsh conditions, motile bacteria swim in complex environment and respond to the surrounding flow. Here we develop a PDE model describing how the flagella bending affects macroscopic properties of bacterial suspensions. First,…

Analysis of PDEs · Mathematics 2016-10-11 Mykhailo Potomkin , Magali Tournus , Leonid Berlyand , Igor Aranson

When particulate suspensions are sheared, perturbations in the shear flows around the rigid particles increase the local energy dissipation, so that the viscosity of the suspension is effectively higher than that of the solvent. For bulk…

Soft Condensed Matter · Physics 2009-11-13 Mark L. Henle , Alex J. Levine

With a detail microscopic model for a self-propelled swimmer, we derive the rheological properties of a dilute suspension of such particles at small Peclet numbers. It is shown that, in addition to the Einstein's like contribution to the…

Soft Condensed Matter · Physics 2017-02-02 Moslem Moradi , Ali Najafi

The swimming properties of an E. coli-type model bacterium are investigated by mesoscale hy- drodynamic simulations, combining molecular dynamics simulations of the bacterium with the multiparticle particle collision dynamics method for the…

Soft Condensed Matter · Physics 2016-08-23 Jinglei Hu , Mingcheng Yang , Gerhard Gompper , Roland G. Winkler

Using a fluid-particle dynamics approach, we numerically study the effects of hydrodynamic interactions on the collective dynamics of active suspensions within a simple model for bacterial motility: each microorganism is modeled as a…

Soft Condensed Matter · Physics 2015-06-22 Akira Furukawa , Davide Marenduzzo , Michael E Cates

We study the dynamics and interaction of two swimming bacteria, modeled by self-propelled dumbbell-type structures. We focus on alignment dynamics of a coplanar pair of elongated swimmers, which propel themselves either by pushing" or…

Analysis of PDEs · Mathematics 2008-11-24 Vitaliy Gyrya , Igor S. Aranson , Leonid V. Berlyand , Dmitry Karpeev

The rheological response under simple shear of an active suspension of Escherichia coli is determined in a large range of shear rates and concentrations. The effective viscosity and the time scales characterizing the bacterial organization…

We present a joint experimental and computational study of the effect of bacterial motion on micron-scale colloids contained in a two-dimensional suspension of Bacillus subtilis. With respect to previous work using E. coli, here we…

Soft Condensed Matter · Physics 2011-09-20 Chantal Valeriani , Martin Li , John Novosel , Jochen Arlt , Davide Marenduzzo

We study the interplay of activity, order and flow through a set of coarse-grained equations governing the hydrodynamic velocity, concentration and stress fields in a suspension of active, energy-dissipating particles. We make several…

Soft Condensed Matter · Physics 2009-11-10 Yashodhan Hatwalne , Sriram Ramaswamy , Madan Rao , R. Aditi Simha

Suspensions of motile cells are model systems for understanding the unique mechanical properties of living materials which often consist of ensembles of self-propelled particles. We present here a quantitative comparison of theory against…

Many swimming bacteria naturally inhabit confined environments, yet how confinement influences their swimming behaviors remains unclear. Here, we combine experiments, continuum modeling and particle-based simulations to investigate…

Biological Physics · Physics 2025-10-13 Da Wei , Shiyuan Hu , Tangmiao Tang , Yaochen Yang , Fanlong Meng , Yi Peng

This review is devoted to the large-scale rheology of suspensions of rigid particles in Stokes fluid. After describing recent results on the definition of the effective viscosity of such systems in the framework of homogenization theory, we…

Analysis of PDEs · Mathematics 2023-01-03 Mitia Duerinckx , Antoine Gloria

The microscopic dynamics of objects suspended in a fluid determines the macroscopic rheology of a suspension. For example, as shown by Danker and Misbah [Phys. Rev. Lett. {\bf 98}, 088104 (2007)], the viscosity of a dilute suspension of…

Soft Condensed Matter · Physics 2015-02-10 Badr Kaoui , Ruben J. W. Jonk , Jens Harting
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