The motion of long slender bodies in a viscous fluid Part 1. General theory

From MaRDI portal
Publication:5684357

DOI10.1017/S002211207000215XzbMath0267.76015OpenAlexW1968129502WikidataQ99702156 ScholiaQ99702156MaRDI QIDQ5684357

R. G. Cox

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1017/s002211207000215x



Related Items

Finite difference method in prolate spheroidal coordinates for freely suspended spheroidal particles in linear flows of viscous and viscoelastic fluids, Particle orbiting constrained by elastic filament as a model cilium for fluid pumping, Flowing fibers as a proxy of turbulence statistics, Viscous tubular-body theory for plane interfaces, Numerical study on the propulsion of a bacterial flagellum in a viscous fluid using an immersed boundary method, Wind gusts and plant aeroelasticity effects on the aerodynamics of pollen shedding: a hypothetical turbulence-initiated wind-pollination mechanism, A single-layer based numerical method for the slender body boundary value problem, A 3D motile rod-shaped monotrichous bacterial model, A singularity method for calculating hydrodynamic forces and particle velocities in low-Reynolds-number flows, Adjoint-based optimization of particle trajectories in laminar flows, The torque on an axisymmetric body in asymmetric rotational flow, The elongated shape of a dielectric drop deformed by a strong electric field, Modelling a tethered mammalian sperm cell undergoing hyperactivation, The Stokes flow of the rotating double spheres and multiple spheres, Osmotic self-propulsion of slender particles, Particle orientation distribution in a rotating, dilute suspension of rod-shaped particles, Slender-body theory for steady sheared plumes in very viscous fluid, Slender-body approximations for electro-phoresis and electro-rotation of polarizable particles, Propulsion in a viscoelastic fluid, Permeability calculations in three-dimensional isotropic and oriented fiber networks, Human sperm accumulation near surfaces: a simulation study, Influence of flow confinement on the drag force on a static cylinder, Slender-body approximations for advection–diffusion problems, Two computational models for simulating the tumbling motion of elongated particles in fluids, The use of disks to approximate finite axisymmetric bodies in Stokes flow, Motion of asymmetric bodies in two-dimensional shear flow, Recent Mathematical Models of Axonal Transport, Fluid-fiber-interactions in rotational spinning process of glass wool production, Reinterpreting the basic theorem of flagellar hydrodynamics, A mathematical model for the wet-spinning process, The hydrodynamic stress in a suspension of rods, Various flying modes of wind-dispersal seeds, The boundary integral formulation of Stokes flows includes slender-body theory, Resistive-force theory of slender bodies in viscosity gradients, Space mapping-focused control techniques for particle dispersions in fluids, Rotation of a fibre in simple shear flow of a dilute polymer solution, Geometric analysis of gaits and optimal control for three-link kinematic swimmers, Three-dimensional flow due to a microcantilever oscillating near a wall: an unsteady slender-body analysis, The assembly of freely moving rigid fibres measures the flow velocity gradient tensor, Discrete cilia modelling with singularity distributions: Application to the embryonic node and the airway surface liquid, The importance of being thin, Temporally resolved measurements of heavy, rigid fibre translation and rotation in nearly homogeneous isotropic turbulence, Optimal swimming of flagellated micro-organisms, A continuum two-fluid theory for dilute fiber suspensions, Optimal allocation of boundary singularities for Stokes flows about pairs of particles, The singularity method in unsteady Stokes flow: hydrodynamic force and torque around a sphere in time-dependent flows, Slender-body theory for viscous flow via dimensional reduction and hyperviscous regularization, Slender phoretic theory of chemically active filaments, A regularised slender-body theory of non-uniform filaments, The falling-needle viscometer, The optimal elastic flagellum, A new approach to the classical Stokes flow problem. I: Methodology and first-order analytical results, Efficient constraint dynamics using MILC SHAKE, The electrophoretic mobility of rod-like particles, Numerical Simulation of the Motion of Cylindrical Particle Suspensions in a Contraction Flow, Scale-dependent alignment, tumbling and stretching of slender rods in isotropic turbulence, Slender-body theory for plasmonic resonance, Generalized squirming motion of a sphere, A cloud of rigid fibres sedimenting in a viscous fluid, Shape of optimal active flagella, Slow motion of axisymmetric slip particles along their axes of revolution, Slender axisymmetric Stokesian swimmers, Simulating particles in Stokes flow, Near-wall estimates of the concentration and orientation distribution of a semi-dilute rigid fibre suspension in Poiseuille flow, Particle motion in Stokes flow near a plane fluid-fluid interface. Part 1. Slender body in a quiescent fluid, Analysis and numerics of an integral equation model for slender bodies in low Reynolds-number flows, Inhomogeneous distribution of a rigid fibre undergoing rectilinear flow between parallel walls at high Péclet numbers, The transfer of fibres in the carding machine, Capillary breakup of a viscous thread surrounded by another viscous fluid, Boundary effects on electrophoresis of colloidal cylinders, Slender-body theory for slow viscous flow, Hindered diffusion of spherical macromolecules through dilute fibrous media, A higher-order slender-body theory for axisymmetric flow past a particle at moderate Reynolds number, Effects of inertia and viscoelasticity on sedimenting anisotropic particles, Gait modeling and optimization for the perturbed Stokes regime, Theoretical justification and error analysis for slender body theory with free ends, The performance of discrete models of low Reynolds number swimmers, Force moments of an active particle in a complex fluid, Coupling of translation and rotation in the motion of finite-length rods near solid boundaries, Bypassing slip velocity: rotational and translational velocities of autophoretic colloids in terms of surface flux, Rayleigh–Taylor instability of an inclined buoyant viscous cylinder, Inertial torques and a symmetry breaking orientational transition in the sedimentation of slender fibres, Oscillations of confined fibres transported in microchannels, Optimizing snake locomotion in the plane, Theorems on the Stokesian Hydrodynamics of a Rigid Filament in the Limit of Vanishing Radius, Slender body theory for particles with non-circular cross-sections with application to particle dynamics in shear flows, Electrokinetic self-propulsion by inhomogeneous surface kinetics, On the effective moduli of composite materials: Slender rigid inclusions at dilute concentrations, Motion of several slender rigid filaments in a Stokes flow, Inertia effects on the motion of long slender bodies, Axisymmetric Stokes drag on hollow cylinders: Computation and comparison with experiment, Stability of sedimenting flexible loops, Drag and lift coefficients of inclined finite circular cylinders at moderate Reynolds numbers, Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot, The primary electroviscous effect in a suspension of rods, Singularities of viscous flow. II: Applications to slender body theory, Observations on the hydrodynamics and swimming motions of mammalian spermatozoa, Universal features of the shape of elastic fibres in shear flow, Regularised non-uniform segments and efficient no-slip elastohydrodynamics, On mass flux through a torus in Stokes flow, Analysis of fiber damage mechanisms during processing of reinforced polymer melts, A robust computational framework for simulating the dynamics of large assemblies of highly-flexible fibers immersed in viscous flow, Locomotion with a wavy cylindrical filament in a yield-stress fluid



Cites Work