Boundary effects on the drag of an oscillating sphere: applications to the magnetic sphere rheometer

Sellers, H. S.; Schwarz, W. H.; Sato, Mitsuru; Pollard, Thomas D.

doi:10.1016/0377-0257(87)85046-2

Cited by 6 publications

(2 citation statements)

References 11 publications

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“…Accordingly, following the procedure developed by Chadwick, Z. Liao [43], Happel and Brenner [41] or by Sherief et al [39] or by Shreen and Faltas [28], the force exerted by the micropolar fluid on the body in the positive z− direction, in the presence of a transverse magnetic field [44] and [45], is given by:…”

Section: Methods Of Solutionmentioning

confidence: 99%

The Force on a Magneto-spherical Particle Oscillating in a viscous Fluid Perpendicular to an Impermeable Planar Wall with Slippage

El‐Sapa

2022

Eur. J. Pure Appl. Math.

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The effect of a magnetic field and slip on the motion of a solid sphere moving perpendicular to an unbounded rigid wall in an unlimited viscous fluid is investigated. As the sphere vibrates perpendicularly to the rigid wall, its center line is accompanied by a low amplitude vibration. A slip condition is applied to the sphere surface, while a no-slip dynamic condition is applied to the wall. Additionally, a semi-analytical method and a numerical scheme using collocation are presented. Furthermore, we calculate the amplitude of the non-dimensional coefficients of drag force acting on the solid sphere using various values of frequency, separation, and magnetic parameters. In addition, streamlines are plotted. The results of the magnitude normalized drag force are compared with those in previous literature.

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Section: Methods Of Solutionmentioning

confidence: 99%

The Force on a Magneto-spherical Particle Oscillating in a viscous Fluid Perpendicular to an Impermeable Planar Wall with Slippage

El‐Sapa

2022

Eur. J. Pure Appl. Math.

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“…However, only few experimental studies have addressed the mediation of polymer depletion on the apparent rheological properties and colloidal motion in non-Newtonian nonadsorbing polymer solutions [36,[68][69][70]. Sellers et al [71] provided an analytical expression of translational oscillatory motion of a sphere within an incompressible and uniform viscoelastic medium. The model also includes the small nonlinear inertial effect.…”

Section: Introductionmentioning

confidence: 99%

Flow induced by an oscillating sphere in probing complex viscosity of polymer solutions

Taniguchi

et al. 2020

Phys. Rev. Fluids

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A theoretical investigation is presented for a linear viscoelastic flow induced by an oscillatory colloidal particle in nonadsorbing polymer solutions. At small-amplitude oscillations, the polymer distribution is assumed to be at equilibrium and forms a depletion zone around the particle based on the mean-field approximation. The goal of the theoretical approach is to predict the apparent complex viscosity sensed by the particle and compare this with the actual viscosity of the bulk fluid. Due to the local inhomogeneity, substantial deviation between the apparent and true viscosity in the bulk needs to be corrected quantitatively. The resulting apparent complex viscosity or friction coefficient in the Fourier domain will help to interpret active and passive microrheological measurements of colloid-polymer mixtures that take polymer depletion into account.

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Oscillating sedimentation of spheres in viscoplastic fluids

Wünsch

1994

Rheola Acta

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Boundary effects on the drag of an oscillating sphere: applications to the magnetic sphere rheometer

Cited by 6 publications

References 11 publications

The Force on a Magneto-spherical Particle Oscillating in a viscous Fluid Perpendicular to an Impermeable Planar Wall with Slippage

The Force on a Magneto-spherical Particle Oscillating in a viscous Fluid Perpendicular to an Impermeable Planar Wall with Slippage

Flow induced by an oscillating sphere in probing complex viscosity of polymer solutions

Oscillating sedimentation of spheres in viscoplastic fluids

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