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This article presents a computational approach for determining the optimal slip velocities on any given shape of an axisymmetric micro-swimmer suspended in a viscous fluid. The objective is to minimize the power loss to maintain a target…

Fluid Dynamics · Physics 2021-02-03 Hanliang Guo , Hai Zhu , Ruowen Liu , Marc Bonnet , Shravan Veerapaneni

This article presents a computational framework for determining the optimal slip velocity of a microswimmer with arbitrary three-dimensional geometry suspended in a viscous fluid. The objective is to minimize the hydrodynamic power…

Numerical Analysis · Mathematics 2026-04-09 Marc Bonnet , Kausik Das , Shravan Veerapaneni , Hai Zhu

We propose a combined analytical-numerical strategy to predict the dynamics and trajectory of a microswimmer next to a curved spherical obstacle. The microswimmer is actuated by a slip velocity on its surface and a uniformly valid solution…

Soft Condensed Matter · Physics 2017-10-31 Nima Sharifi-Mood , Pablo G. Díaz-Hyland , Ubaldo M. Córdova-Figueroa

The behaviour of microscopic swimmers has previously been explored near large scale confining geometries and in the presence of very small-scale surface roughness. Here we consider an intermediate case of how a simple microswimmer, the…

Fluid Dynamics · Physics 2021-09-14 Kenta Ishimoto , Eamonn A. Gaffney , David J. Smith

We combine a general formulation of microswimmmer equations of motion with a numerical bead-shell model to calculate the hydrodynamic interactions with the fluid, from which the swimming speed, power and efficiency are extracted. From this…

Soft Condensed Matter · Physics 2017-03-07 Bram Bet , Gijs Boosten , Marjolein Dijkstra , René van Roij

In this work, we develop a computational framework that aims at simultaneously optimizing the shape and the slip velocity of an axisymmetric microswimmer suspended in a viscous fluid. We consider shapes of a given reduced volume that…

Optimization and Control · Mathematics 2024-05-02 Ruowen Liu , Hai Zhu , Hanliang Guo , Marc Bonnet , Shravan Veerapaneni

In this paper we are interested in optimizing the shape of multi-flagellated helical microswimmers. Mimicking the propagation of helical waves along the flagella, they self-propel by rotating their tails. The swimmer's dynamics is computed…

A variety of swimming microorganisms, called ciliates, exploit the bending of a large number of small and densely-packed organelles, termed cilia, in order to propel themselves in a viscous fluid. We consider a spherical envelope model for…

Fluid Dynamics · Physics 2011-08-30 Sebastien Michelin , Eric Lauga

An optimal microswimmer with a given geometry has a surface velocity profile that minimizes energy dissipation for a given swimming speed. An axisymmetric swimmer can be puller-, pusher-, or neutral-type depending on the sign of the…

Fluid Dynamics · Physics 2024-10-08 Rafe Md Abu Zayed , Arezoo M. Ardekani , Amir Nourhani

The ability of microswimmers to deploy optimal propulsion strategies is of paramount importance for their locomotory performance and survival at low Reynolds numbers. Although for perfectly spherical swimmers minimum dissipation requires a…

Fluid Dynamics · Physics 2021-07-13 Abdallah Daddi-Moussa-Ider , Babak Nasouri , Andrej Vilfan , Ramin Golestanian

We derive a theorem for the lower bound on the energy dissipation rate by a rigid surface-driven active microswimmer of arbitrary shape in a fluid at low Reynolds number. We show that, for any swimmer, the minimum dissipation at a given…

Fluid Dynamics · Physics 2021-01-27 Babak Nasouri , Andrej Vilfan , Ramin Golestanian

We study the energetic efficiency of navigating microswimmers by explicitly taking into account the geometry of their body. We show that, as their shape transitions from prolate to oblate, non-steering microswimmers rotated by flow…

Soft Condensed Matter · Physics 2024-03-18 Lorenzo Piro , Andrej Vilfan , Ramin Golestanian , Benoît Mahault

Understanding and optimizing the design of helical micro-swimmers is crucial for advancing their application in various fields. This study presents an innovative approach combining Free-Form Deformation with Bayesian Optimization to enhance…

Optimization and Control · Mathematics 2026-02-11 Lucas Palazzolo , Laëtitia Giraldi , Mickael Binois , Luca Berti

Many biological microswimmers locomote by periodically beating the densely-packed cilia on their cell surface in a wave-like fashion. While the swimming mechanisms of ciliated microswimmers have been extensively studied both from the…

Soft Condensed Matter · Physics 2023-06-22 Hanliang Guo , Hai Zhu , Ruowen Liu , Marc Bonnet , Shravan Veerapaneni

Synthetic microswimmers mimicking biological movements at the microscale have been developed in recent years. Actuating helical magnetic materials with a homogeneous rotating magnetic field is one of the most widespread techniques for…

Soft Condensed Matter · Physics 2019-03-27 Felix Bachmann Klaas Bente , Agnese Codutti , Damien Faivre

The problem of optimization of a cycle of tangential deformations of the surface of a spherical object (microsquirmer) self-propelling in a viscous fluid at low Reynolds numbers is represented in a noncanonical Hamiltonian form. The…

Fluid Dynamics · Physics 2019-07-11 Victor P. Ruban

We present a two dimensional model of hydrodynamic interaction between a circular swimmer and a circular post at low Reynolds number, using a point singularity description of the swimming activity. We derive a nonlinear dynamical system…

Fluid Dynamics · Physics 2016-12-09 Dario Papavassiliou , Gareth P Alexander

The hydrodynamic interactions between a sedimenting microswimmer and a solid wall have ubiquitous biological and technological applications. A plethora of gravity-induced swimming dynamics near a planar no-slip wall provides a platform for…

Soft Condensed Matter · Physics 2025-05-14 Henry Shum , Devenayagam Palaniappan , Yuan-Nan Young

This paper discusses modelling, controllability and gait design for a spherical flexible swimmer. We first present a kinematic model of a low Reynolds number spherical flexible swimming mechanism with periodic surface deformations in the…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Sudin Kadam , Ravi N. Banavar , Vivek Natarajan

We study the dynamics of gyrotactic microswimmers suspended in homogeneous and isotropic turbulence by using direct numerical simulations (DNS). The swimmers are characterized by three non-dimensional parameters: their aspect ratio…

Soft Condensed Matter · Physics 2026-04-24 Suraj Kumar Nayak , Vishwanath Shukla , Akshay Bhatnagar
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