Slip at the surface of an oscillating spheroidal particle in a micropolar fluid

Sherief, Hany H.; Faltas, M. S.; Saad, E. I.

doi:10.21914/anziamj.v55i0.6813

Cited by 19 publications

(9 citation statements)

References 37 publications

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“…At a surface of the particle r 1 = a, we consider the dynamical slip conditions for the velocity, and microrotations take the following forms [21,28]:…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…We think that it is physically more appropriate to use the slip boundary conditions for both the velocity and the microrotation because both conditions are applied at the same surface and the slip is mainly due to the nature of the surface and the fluid. More recently, Sherief et al [28] used this boundary condition to study the axisymmetric rectilinear and rotary oscillations of a solid spheroidal particle in a micropolar fluid.…”

Section: Introductionmentioning

confidence: 99%

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Motion of a Slip Sphere in a Nonconcentric Fictitious Spherical Envelope of Micropolar fluid

Saad

2014

ANZIAM J.

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Stokes’ axisymmetrical translational motion of a slip sphere, located anywhere on the diameter of a virtual spherical fluid ‘cell’, is investigated. The fluid is micropolar and flows are parallel to the line connecting the two centres. An infinite-series solution is presented for the stream function, pressure field, vorticity, microrotation component, shear stress and couple stress of the flow. Basset-type slip boundary conditions on the sphere surface are used for velocity and microrotation. The Happel and Kuwabara boundary conditions are used on the fictitious surface of the cell model. Numerical results for the normalized drag force acting on the sphere are obtained with excellent convergence for various values of the volume fraction, the relative distance between the centre of the sphere and the virtual envelope, the vortex viscosity parameter and the slip coefficients of the sphere. In the special case when the spherical particle is in the concentric position with the cell surface, the numerical values of the normalized drag force agree with the available values in the literature.

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“…At a surface of the particle r 1 = a, we consider the dynamical slip conditions for the velocity, and microrotations take the following forms [21,28]:…”

Section: Statement Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Motion of a Slip Sphere in a Nonconcentric Fictitious Spherical Envelope of Micropolar fluid

Saad

2014

ANZIAM J.

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“…Yadav and Deo [39] made an analysis to explore the creeping flow past a porous spheroid immersed in other porous media. Intending to study motion in spheroidal particle, Sherief et al [40] tackled the oscillating of a spheroidal particle in micropolar fluid by considering slip condition. In the article by Srinivasacharya and Prasad [41], the axisymmetric motion of a porous approximate sphere bearing a solid core was studied.…”

Section: Introductionmentioning

confidence: 99%

Slow Motion Past a Spheroid Implanted in a Brinkman Medium : Slip Condition

Madasu

Kaur²,

Bucha

2021

Int. J. Appl. Comput. Math

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The current work deals with the Stokes incompressible flow past an impermeable spheroidal particle, a particle of slightly deformed spherical shape, implanted in a Brinkman's porous media. The problem is perused by considering the slip flow boundary conditions at the interface. An analytical result for the drag force affecting on the spheroid is evaluated. Both the cases of an oblate and a prolate spheroids are analyzed. Dependence of drag coefficient in relation to different important dimensionless parameters including permeability, deformation, and slip are visualized using graphs and tables. The effect of slip is observed to have a remarkable impact in raising the drag. Several notable results are derived from the ongoing work.

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“…Saad [16] analyzed the Stokes axisymmetrical translational motion of a spheroidal particle in an unbounded micropolar fluid and the motion of a spheroidal particle at the instant it passes the centre of a spherical envelope filled with a micropolar fluid. Sherief et al [17] investigated the axisymmetric rectilinear and rotary oscillations of a spheroidal particle in an incompressible micropolar fluid using slip boundary condition. Sherief et al [18] discussed Stokes flow of a micropolar fluid past an assemblage of spheroidal particle-in-cell models with slip.…”

Section: Introductionmentioning

confidence: 99%

Drag force of a porous particle moving axisymmetrically in a closed cavity of micropolar fluid

Madasu¹

2019

J. Appl. Math. Comput. Mech.

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The present paper deals with the problem of an incompressible axisymmetric creeping flow caused by a porous spherical particle in a spherical cavity filled with micropolar fluid. Depending on the kind of cell model, appropriate boundary conditions are used on the surface of sphere and spherical cavity. Drag force on the porous particle in the presence of a cavity is calculated to determine the correction factor to the Stokes law. A general expression for the hydrodynamic force acting on the porous sphere and, hence, for the wall correction factor of the sphere are obtained. The special cases of the porous sphere in viscous fluid, zero permeability solid sphere in micropolar fluid and viscous fluid are obtained in open and closed cavity respectively.

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Slip at the surface of an oscillating spheroidal particle in a micropolar fluid

Cited by 19 publications

References 37 publications

Motion of a Slip Sphere in a Nonconcentric Fictitious Spherical Envelope of Micropolar fluid

Motion of a Slip Sphere in a Nonconcentric Fictitious Spherical Envelope of Micropolar fluid

Slow Motion Past a Spheroid Implanted in a Brinkman Medium : Slip Condition

Drag force of a porous particle moving axisymmetrically in a closed cavity of micropolar fluid

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