Inertia effects on the motion of long slender bodies

DOI10.1017/S0022112089003174zbMath0681.76015OpenAlexW2112748230MaRDI QIDQ4730900

R. G. Cox, Roger E. Khayat

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0022112089003174

zbMATH Keywords

asymptotic expansionuniform flowsolid long slender body with curved centreline

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Basic methods in fluid mechanics (76M99)

Related Items

Inertial torque on a squirmer, Particle orientation distribution in a rotating, dilute suspension of rod-shaped particles, History force on an asymmetrically rotating body in Poiseuille flow inducing particle migration across a slit pore, Structure and dynamics of dilute suspensions of finite-Reynolds-number settling fibers, Collision rate of ice crystals with water droplets in turbulent flows, Deformation and orientation of an elastic slender body sedimenting in a viscous liquid, Three-dimensional flow due to a microcantilever oscillating near a wall: an unsteady slender-body analysis, Fluid-inertia torque on spheroids in pseudo-plastic fluid flows: effect of shear-thinning rheology, Sedimentation of spheroids in Newtonian fluids with spatially varying viscosity, Temporally resolved measurements of heavy, rigid fibre translation and rotation in nearly homogeneous isotropic turbulence, Nonlinear disturbance growth during sedimentation in dilute fibre suspensions, Scale-dependent alignment, tumbling and stretching of slender rods in isotropic turbulence, 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, Importance of fluid inertia for the orientation of spheroids settling in turbulent flow, Settling of an asymmetric dumbbell in a quiescent fluid, Inertial torques and a symmetry breaking orientational transition in the sedimentation of slender fibres, A novel approach to rigid spheroid models in viscous flows using operator splitting methods, Slender body theory for particles with non-circular cross-sections with application to particle dynamics in shear flows, The hydrodynamic lift of a slender, neutrally buoyant fibre in a wall-bounded shear flow at small Reynolds number, The rotation of a sedimenting spheroidal particle in a linearly stratified fluid

Cites Work

• Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder
• Hydromechanics of low-Reynolds-number flow. Part 4. Translation of spheroids
• Slender-body theory for particles of arbitrary cross-section in Stokes flow
• The motion of long slender bodies in a viscous fluid Part 1. General theory
• The resistance to a particle of arbitrary shape in translational motion at small Reynolds numbers