Gyrotactic trapping of micro-swimmers in simple shear flows: a study directly from the fundamental Smoluchowski equation

DOI10.1017/jfm.2022.231zbMath1504.76116OpenAlexW4220771183MaRDI QIDQ5067749

Weiquan Jiang, Bo-Han Wang, Guoqian Chen

Publication date: 4 April 2022

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2022.231

zbMATH Keywords

Galerkin methodprobability density functioneigenfunction expansionbiorthogonal expansionaverage swimming orientationdilute microswimmwer suspension

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Biomechanics (92C10) Suspensions (76T20) Basic methods in fluid mechanics (76M99) Biopropulsion in water and in air (76Z10)

Related Items (5)

Effects of wind on transient dispersion of active particles in a free-surface wetland flow ⋮ Dispersion of a gyrotactic micro-organism suspension in a vertical pipe: the buoyancy–flow coupling effect ⋮ Pre-asymptotic dispersion of active particles through a vertical pipe: the origin of hydrodynamic focusing ⋮ Streamwise dispersion of soluble matter in solvent flowing through a tube ⋮ Theoretical analysis for bedload particle deposition and hop statistics

Cites Work

• Unnamed Item
• Effects of inertia and viscoelasticity on sedimenting anisotropic particles
• On the distribution and swim pressure of run-and-tumble particles in confinement
• The spatial distribution of gyrotactic swimming micro-organisms in laminar flow fields
• Vertical dispersion of model microorganisms in horizontal shear flow
• Advances in Bioconvection
• A new continuum model for suspensions of gyrotactic micro-organisms
• On the method of moments for solute dispersion
• The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms
• The motion of rigid particles in a shear flow at low Reynolds number
• Generalized Taylor dispersion phenomena in unbounded homogeneous shear flows
• Pattern formation in a suspension of swimming microorganisms: equations and stability theory
• On the foundations of generalized Taylor dispersion theory
• Generalized Taylor dispersion in suspensions of gyrotactic swimming micro-organisms
• Enhanced sedimentation of elongated plankton in simple flows
• Distribution of gyrotactic micro-organisms in complex three-dimensional flows. Part 1. Horizontal shear flow past a vertical circular cylinder
• Dispersion of gyrotactic micro-organisms in pipe flows
• Shear-induced migration of microswimmers in pressure-driven channel flow
• A velocity-variation-based formulation for bedload particle hops in rivers
• Bifurcation and stability of downflowing gyrotactic micro-organism suspensions in a vertical pipe
• A local approximation model for macroscale transport of biased active Brownian particles in a flowing suspension
• Importance of fluid inertia for the orientation of spheroids settling in turbulent flow
• Sedimentation of inertia-less prolate spheroids in homogenous isotropic turbulence with application to non-motile phytoplankton
• The approach to normality of the concentration distribution of a solute in a solvent flowing along a straight pipe
• The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles

This page was built for publication: Gyrotactic trapping of micro-swimmers in simple shear flows: a study directly from the fundamental Smoluchowski equation