Jeffery orbits in shear-thinning fluids

Author: fwku

August undefined, 2024

WebMost rigid, torque-free, low-Reynolds-number, axisymmetric particles undergo a time-periodic tumbling motion in a simple shear flow, with their axes of symmetry following a set of closed Jeffery orbits. WebWe investigate the dynamics of a prolate spheroid in a shear flow of a shear-thinning Carreau fluid. The motion of a prolate particle is developed analytically for asymptotically weak shear thinning and then integrated numerically. We find that shear-thinning rheology does not lift the degeneracy of Jeffery orbits observed in Newtonian fluids but the …

Jeffery orbits in shear-thinning fluids - NASA/ADS

WebJan 2, 2024 · Ferec et al. [17] found that the motion of a single ellipsoidal particle was slightly disturbed by the shear-thinning character of the suspending fluid compared with the Jeffery's solutions, while the perturbation could be completely neglected for a particle with a large aspect ratio. WebAug 23, 2024 · of Jeﬀery orbits observed in Newtonian ﬂuids but the instantaneous rate of rotation and trajectories of the orbits are modiﬁed. Qualitatively, shear-thinning has a … tarboro assisted living

Jeffery orbits in shear-thinning fluids - Dimensions

WebApr 18, 2024 · The effects of deformability and curvature on the dynamics are revealed. We show that with low deformability, straight prolate spheroidal capsules exhibit tumbling in the shear plane as their unique asymptotically stable orbit. This result contrasts with that for rigid spheroids, where infinitely many neutrally stable Jeffery orbits exist. WebSep 22, 2024 · A generalized reciprocal theorem is formulated for the motion and hydrodynamic force moments of an active particle in an arbitrary background flow of a (weakly nonlinear) complex fluid. This formalism includes as special cases a number of previous calculations of the motion of both passive and active particles in Newtonian and … WebQualitatively, shear thinning has a similar effect to elongating the particle in a Newtonian fluid. The period of rotation increases as the particle slows down more when aligned with the flow due to a reduction of shear stresses. Unlike Jeffery orbits in Newtonian fluids, in shear-thinning fluids the period of orbits depends on the specific ... tarboro athletic club

Jeffery orbits in shear-thinning fluids - NASA/ADS

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WebPart of the expansive SPX FLOW collection of world-class process technology brands, Waukesha Cherry-Burrell® focuses heavily on the food, dairy, beverage, pharmaceutical, … WebJun 12, 2006 · The inertialess motion of any axisymmetric particle in simple shear represents a degenerate limit, the spheroidal geometry being a special case; as originally found by Jeffery (Proc. R. Soc. Lond. tarboro animal shelter tarboro ncWebJun 29, 2024 · ABSTRACT A simple idea to include fluid–structure interaction (FSI) in classic rectilinear flow problems is presented. By allowing a solid boundary to behave as a rigid body, instead of holding it at constant motions, dynamic FSI problems amenable to analytical methods are obtained. tarboro building inspections

"WebQualitatively, shear thinning has a similar effect to elongating the particle in a Newtonian fluid. The period of rotation increases as the particle slows down more when aligned with the flow due to a reduction in shear stresses. Unlike Jeffery orbits in Newtonian fluids, in shear-thinning fluids, the period of orbits depends on the specific ... " - Jeffery orbits in shear-thinning fluids

Jeffery orbits in shear-thinning fluids

Fluid–structure interaction in rectilinear flows: Four analytical ...

WebJun 1, 2015 · We derive an effective equation of motion for the orientational dynamics of a neutrally buoyant spheroid suspended in a simple shear flow, valid for arbitrary particle aspect ratios and to linear o... Rotation of a spheroid in a simple shear at small Reynolds number: Physics of Fluids: Vol 27, No 6 MENU SIGN IN Sign in/Register WebUnder shear, an isolated ellipsoid’s orientation is not constant, but instead rotates with the flow in an unsteady motion known as a Jeffery orbit (Jeffery 1922 ). In colloidal suspensions, rotational Brownian motion also changes the particles’ orientations, creating the possibility of a coupling between the Jeffery orbit and rotational diffusion.

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WebJun 11, 2024 · Particles either remained on Jeffery orbits or ended up in a log-rolling state. ... Yu Z, Wachs A, Peysson Y (2006) Numerical simulation of particle sedimentation in shear-thinning fluids with a fictitious domain method. J Non-Newton Fluid Mech 136:126–139. Article Google Scholar Yu Z, Phan TN, Roger IT (2007) Rotation of a spheroid in a ... WebThe motion of a prolate particle is developed analytically for asymptotically weak shear thinning and then integrated numerically. We find that shear-thinning rheology does not lift the degeneracy of Jeffery orbits observed in Newtonian fluids but the instantaneous rate of rotation and trajectories of the orbits are modified.

WebDec 31, 2013 · Particle doublets and triplets are then observed to rotate as a whole and tumble on drifting Jeffery orbits ending up in a log-rolling state, ... Jeffery, G., “ The motion of ... I., W. den Otter, and W. Briels, “ The origin of flow-induced alignment of spherical colloids in shear-thinning viscoelastic fluids,” J. Chem. Phys. 137, 204908 ... WebAug 11, 2024 · The Jeffery orbits for a rigid particle with discrete rotational symmetry have been investigated by Fries et al. 52 52. J. Fries, J. Einarsson, and B. Mehlig, “ Angular …

WebWe find that shear-thinning rheology does not lift the degeneracy of Jeffery orbits observed in Newtonian fluids, but the instantaneous rate of rotation and trajectories of the orbits … WebS.A. Abtahi, G.J. Elfring, Jeffery orbits in shear-thinning fluids Physics of Fluids, 31 (2024) 103106. (Editor’s Pick) C. Datt, G.J. Elfring, A note on higher-order perturbative corrections to squirming speed in weakly viscoelastic fluids Journal of Non-Newtonian Fluid Mechanics, 270 (2024) 51-55. Corrigendum

WebIn the absence of inertial and Brownian forces, the motion of a neutrally buoyant ellipsoid of revolution in a simple uniform shear was solved by Jeffery who found that the particle’s …

WebWe find that shear-thinning rheology does not lift the degeneracy of Jeffery orbits observed in Newtonian fluids but the instantaneous rate of rotation and trajectories of … tarboro animal shelter ncWebJeffery orbit If u is a unit vector parallel to the axis of symmetry of a spheroidal particle, then in the absence of Brownian motion (Pe — 00) and of interparticle interactions, the time rate of change of u in a flow field is [Pg.279] Note that G is time-periodic a non-Brownian axisymmetric particle rotates indefinitely in a shearing flow. tarboro brewingWebThus, the ellipse performs periodic orbits but with a non-uniform velocity. For sufﬁciently small Re, Ding & Aidun (2000) [The dynamics and scaling law for particles suspended in shear ﬂow with inertia, J. Fluid Mech. 423 317-344] showed that the system approximates the Jeffery orbits but with an increased period. Typical solutions for tarboro chamber of commerceWebMar 1, 2024 · He has solved the problem completely in The case of spheroidal particles immersed in a very viscous fluid which is moving parallel to a plane with a uniform shearing motion. his so1ution shows that the motion depends on the initial conditions of … tarboro brewing company facebookWebThe Air Fluidized Therapy (AFT) bed is filled with silicone coated microspheres which resemble white sand. Warm air forced upward through these microspheres creates a … tarboro brewery tarboro brewing companyWebThin Film Evaporation combines the following to handle heat-sensitive, viscous, and fouling processes: Extremely Short Residence Time. Effective Heat Transfer. High Turbulence. … tarboro businesses