On the determination of sedimentation rate of a homogeneous suspension

Golovin, A. M.; Chizhov, V. E.

doi:10.1016/0021-8928(78)90093-x

Cited by 5 publications

(4 citation statements)

References 11 publications

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“…In this case, the first equation of set (18) is written as an equation with a small parameter at a derivative (singularly per turbed equation) shown above. The obtained solution of the degenerate equation is stable, since the partial derivative from the right side of Eq.…”

Section: Casementioning

confidence: 98%

“…Let us further take the first equation of set (16) to determine z l , and z s and z d can conveniently be found from already known algebraic relationships (17). We have (18) It is important to note that the differential equation of set (18) can be considered separately for the time , as the parameters z s and z d are already constant…”

Section: Suspension Motion Equationmentioning

confidence: 99%

“…(5) and (6) are the phase momentum conservation equations, in which the interphase interaction force is specified in compliance with the Stokes' law taking into account the hindrance of particles by means of the coefficient ψ [16]. Taking into consideration different distribution patterns of particles, different formulas were derived for the parti cle hindrance coefficient [16][17][18]. In particular, the pattern of creeping flow around chaotically distributed particles leads to the formula (8) Hence, the set of Eqs.…”

Section: Suspension Motion Equationmentioning

confidence: 99%

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Dynamics of a suspension in the presence of liquid filtration, disperse phase sedimentation, and precipitate formation processes

Amanbaev

2016

Theor Found Chem Eng

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The problem of suspension filtration has been considered with allowance for the formation of a precipitate by sedimenting disperse particles in one dimensional formulation. The behavior of a suspension is described with a set of equations for the one dimensional inertialess motion of a two phase mixture, and the motion of a liquid through a porous precipitate layer has been described with a filtration equation based on the Darcy law. The particular (limit) cases of an equidense suspension (when the densities of both solid and liquid phases are equal) and an equilibrium suspension (when the sizes of particles are small enough to neglect their sedimentation) and the asymptotic case when the density of disperse particles is much greater than the density of a liquid phase have been studied. Some formulas for the characteristic times of disperse phase sedimentation and liquid filtration have been derived. The limit regimes of slow filtration and slow sed imentation are analyzed. In the general case, the problem has been solved in implicit form.

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Section: Casementioning

confidence: 98%

Section: Suspension Motion Equationmentioning

confidence: 99%

Section: Suspension Motion Equationmentioning

confidence: 99%

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Dynamics of a suspension in the presence of liquid filtration, disperse phase sedimentation, and precipitate formation processes

Amanbaev

2016

Theor Found Chem Eng

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“…Effect of constraint of motion of aggregates in case of the large volumetric concentration usually is accounted by correction ψ in the resistance coefficient [10,14,15] ) To calculate the effective viscosity of the suspension with the fine fraction of particles it is advisable to use a Mooney's formula, which describes quite well the numerous experimental data in a wide range of volume content of the dispersed phase and has the form [8,16,17] [10].…”

Section: The Equationsmentioning

confidence: 99%

Modelling of Straitened Sedimentation Process in Bidisperse Suspension with Inter-Fractional Coagulation

Amanbaev¹

2014

AJCHE

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Abstract:In this paper we study the general characteristics of deposition of large particles (or aggregates) that result from the mutual aggregation of small and large fractions in bidisperse (or double fractional) suspension. We give equations of motion and change in mass of the large particle in the presence of inter-fractional coagulation process and effect of straitened sedimentation. In the limiting Stokes and Newton modes (relevant for small and large Reynolds numbers) we have movement formulas for speed of sedimentation and their analysis. Discuss some of the results of calculations obtained by numerical integration of the equations of motion of a large particle in suspension.

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Electrohydrodynamic flow in a retarding electric field with allowance for charged particle inertia

Vatazhin¹,

Grabovskii²

1979

Journal of Applied Mathematics and Mechanics

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On the determination of sedimentation rate of a homogeneous suspension

Cited by 5 publications

References 11 publications

Dynamics of a suspension in the presence of liquid filtration, disperse phase sedimentation, and precipitate formation processes

Dynamics of a suspension in the presence of liquid filtration, disperse phase sedimentation, and precipitate formation processes

Modelling of Straitened Sedimentation Process in Bidisperse Suspension with Inter-Fractional Coagulation

Electrohydrodynamic flow in a retarding electric field with allowance for charged particle inertia

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