Human Red Blood Cell Properties and Sedimentation Rate: A Biomechanical Study

Kizilova, Natalya; Batyuk, Liliya; Baranets, Vitalina

doi:10.1007/978-3-319-97286-2_1

Cited by 6 publications

(13 citation statements)

References 25 publications

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“…When θ = 0 the system (30) coincides with the corresponding systems in [20,21]. The second term in the right hand side of the rst equation in (30) is responsible for additional aggregation of the particles due to the transversal displacements.…”

Section: One-dimensional Approximation For Small Inclination Anglesmentioning

confidence: 70%

“…In this paper the continual mechanics approach is used for the sedimentation of the concentrated suspensions of the aggregating particles. It will be shown, the settling dynamics in the incline tubes is more complex and the additional sublayers of the sedimenting single particles (IIa), their aggregates (IIb) and the porous viscoelastic layer (IIc) ( Fig.1b) will appear during the sedimentation similar to the vertical tube case [20].…”

Section: Review Of Theoretical and Experimental Datamentioning

confidence: 81%

“…The steady sedimentation of particles in the narrow channel of the width R and the length L (R/L 1), inclined at the angle θ is considered. The channel corresponds to the gap between the walls of the rotation viscosimeter of the conecone type or a rectangle vessel with the depth D R. The two phase approach to the suspension of the aggregating particles is used [20,21]. Neglecting the inertia forces as compared with the viscous forces, the equations of the quasi-steady motion can be written in the form…”

Section: Review Of Theoretical and Experimental Datamentioning

confidence: 99%

“…The equation 7describes the kinetics of the particle aggregation due to the collisions, decompositions or exchange interactions [20]. The mass continuity conditions for the phases (8), (9) and the projections of the momentum equations for the phases on the axis coordinate (10)- (13) give the system of PDE for the velocities, pressures and numerical concentration of the aggregates.…”

Section: Review Of Theoretical and Experimental Datamentioning

confidence: 99%

“…Based on the dimension theory, the expressions for F and ϕ have been found in the form [20], [22] [24]:…”

Section: One-dimensional Approximation For Small Inclination Anglesmentioning

confidence: 99%

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Mathematical modeling of particle aggregation and sedimentation in the inclined tubes

Baranets

Kizilova

2019

MAMM

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Sedimentation of the aggregating particles in the gravity field is widely used as an easy and cheap test of the suspension stability of different technical suspensions, blood and nanofluids. It was established the tube inclination makes the test much faster that is known as the Boycott effect. It is especially important for the very slow aggregating and sedimenting blood samples in medical diagnostics or checking the ageing of the nanofluids. The dependence of the sedimentation rate on the angle of inclination is complex and poorly understood yet. In this paper the two phase model of the aggregating particles is generalized to the inclined tubes. The problem is formulated in the two-dimensional case that corresponds to the narrow rectangle vessels or gaps of the viscosimeters of the cone-cone type. In the suggestion of small angles of inclination the equations are averaged over the transverse coordinate and the obtained hyperbolic system of equations for is solved by the method of characteristics. During the sedimentation the upper region (I) of the fluid free of particles, the bottom region (III) of the compactly located aggregates without fluid, and the intermediate region of the sedimenting aggregates (II) appear. The interface between I and II can be registered by any optic sensor and its trajectory is the sedimentation curve. Numerical computations revealed the increase in the initial concentration of the particles, their aggregation rate, external uniform force and inclination angle accelerate the sedimentation while any increase in the fluid viscosity decelerates it that is physically relevant. Anyway, the behaviors of the acceleration are different. For the elevated force the interfaces I-II and II-III shifts uniformly, while for the elevated concentration or aggregation rate the interface I-II or II-III moves faster. Small increase of the inclination angle accelerates the sedimentation while at some critical angles is starts to decelerate due to higher shear drag in the very viscous mass of the compactly located aggregates. Based on the results, a novel method of estimation of the suspension stability is proposed.

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Section: One-dimensional Approximation For Small Inclination Anglesmentioning

confidence: 70%

Section: Review Of Theoretical and Experimental Datamentioning

confidence: 81%

Section: Review Of Theoretical and Experimental Datamentioning

confidence: 99%

Section: Review Of Theoretical and Experimental Datamentioning

confidence: 99%

“…Based on the dimension theory, the expressions for F and ϕ have been found in the form [20], [22] [24]:…”

Section: One-dimensional Approximation For Small Inclination Anglesmentioning

confidence: 99%