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Transport of particles by magnetic forces and cellular blood flow in a model microvessel
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Image of FIG. 1.
FIG. 1.

Visualization of the initial condition showing the red cells and magnetic particles (enhanced online). [URL: http://dx.doi.org/10.1063/1.4718752.1]10.1063/1.4718752.1

Image of FIG. 2.
FIG. 2.

Mean velocity versus : ——— simulations and – – – – the corresponding Poiseuille-flow for the same pressure gradient. The simulation results show overlaying results for three cases: , (0, 0, 0.1), and (0, 0, −0.1).

Image of FIG. 3.
FIG. 3.

(a) Red cells with their respective fitted ellipsoids. (b) The principal eigenvector e 3 associated with the smallest eigenvalue λ3 is used to quantify the tilt angle of each cell. As shown, both cells have negative tilt angles. (c) The average distribution of tilt angles for the cases with the magnetic forces as labeled.

Image of FIG. 4.
FIG. 4.

Particles trajectories without magnetic forces: (a) projected onto a xy plane and (b) maximum instantaneous distance from the tube centerline .

Image of FIG. 5.
FIG. 5.

Probability density function (m/s) of x velocity for particles with r(t) ⩽ 6 μm averaged over the period of the simulation. The symbols ○ correspond to data accumulated in bins from the simulation data and the line ——— is a Gaussian fit (see text).

Image of FIG. 6.
FIG. 6.

Particle trajectories for increasing Ψ x as labeled. The corresponding Ψ x = 0 case is shown in Figure 4(a).

Image of FIG. 7.
FIG. 7.

Particle radial location histories for increasing Ψ x as labeled: ——— simulated particles and predictions for s sphere in unbounded fluid with the plasma viscosity μ⋯ ⋯ and bulk blood viscosity μ b – – – – .

Image of FIG. 8.
FIG. 8.

Particle radial location histories for Ψ x = 0 and the Ψ z as labeled.

Image of FIG. 9.
FIG. 9.

The asymmetry of the cells directs the particles toward or away from the wall depending upon the sense of the force relative to the flow direction.

Image of FIG. 10.
FIG. 10.

Travel distance for , (0, 0, 0), and (0, 0, −0.2) cases as labeled.



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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Transport of particles by magnetic forces and cellular blood flow in a model microvessel