Lateral Migration of a Spherical Particle in Flows in a Circular Tube

Ishii, Katsuya; Hashimoto, Hidenori

doi:10.1143/jpsj.48.2144

Cited by 40 publications

(12 citation statements)

References 21 publications

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“…38 It is readily shown, however, that both these inertia-driven migration effects are negligible with respect to the viscoelastic migration. Indeed, the ratio between the Segré-Silberberg and viscoelastic migration velocity can be estimated as proportional to (Re f /De)β, 18,39 with Re f being the Reynolds number of the fluid. Similarly, the ratio between the Saffman 38 and viscoelastic migration can be estimated as…”

Section: Introductionmentioning

confidence: 99%

Rheometry-on-a-chip: measuring the relaxation time of a viscoelastic liquid through particle migration in microchannel flows

et al. 2015

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A novel method to estimate the relaxation time of viscoelastic fluids, down to milliseconds, is here proposed. The adopted technique is based on the particle migration phenomenon occurring when the suspending viscoelastic fluid flows in microfluidic channels. The method is applied to measure the fluid relaxation times of two water-glycerol polymer solutions in an ample range of concentrations. A remarkable improvement in the accuracy of the measure of the relaxation time is found, as compared with experimental data obtained from shear or elongational experiments available in the literature. Good agreement with available theoretical predictions is also found. The proposed method is reliable, handy and does not need a calibration curve, opening an effective way to measure relaxation times of viscoelastic fluids otherwise not easily detectable by conventional techniques.

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Section: Introductionmentioning

confidence: 99%

Rheometry-on-a-chip: measuring the relaxation time of a viscoelastic liquid through particle migration in microchannel flows

et al. 2015

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“…Since the theoretical calculations of Ishii and Hasimoto break down near the wall of the capillary, we, like Ishii and Hasimoto, used the theoretical values obtained by Cox and Hsu in this region. In order to simplify our calculations, the theoretical curves for the functions h, g , J , and f2 shown in Figures 1, 2 and 3a of Ishii and Hasimoto (1980), which include the asymptotic values obtained by Cox and Hsu near the capillary surface, were fitted by the following expressions:…”

Section: Radial Velocitymentioning

confidence: 99%

Axial dispersion of submicron particles in capillary hydrodynamic fractionation

Silebi

DosRamos

1989

AIChE Journal

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In the present investigation, Taylor's analysis of the axial dispersion of a solute in a Newtonian fluid undergoing laminar flow through a circular tube was applied to dispersions of colloidal particles, in which effects of size exclusion, inertial and colloidal forces, and wall retardation must be considered. The results indicate that the product of the particle Reynolds and Peclet numbers determines the importance of the inertial forces on both the effective axial diffusion coefficient and the height of a theoretical plate. The height of a theoretical plate as a function of the eluant ionic strength and average velocity, particle diameter, and tube diameter was determined experimentally. Close agreement with the numerical calculations from the diffusion equation was obtained. The height of a theoretical plate was found to attain a maximum value when the product of Reynolds and Peclet numbers was approximately 10.5.

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“…On the other hand, it is known that capillary hydrodynamic chromatography is an attractive technique for the separations of macromolecules and particles in open tubular capillaries because of its simplicity, ease of operation, and ability to separate particles of a wide range of sizes and types [8][9][10][11][12][13][14][15][16][17][18][19][20][21]. This separation technique assumes that Brownian particles undergoing Poiseuille flow within a capillary have sufficient residence times to sample all possible radial positions before leaving the capillary.…”

Section: Introductionmentioning

confidence: 99%

“…The inertial, double-layer electrostatic, and van der Waals attractive forces acting between colloidal particles and the capillary wall and affecting the radial distribution of particles have been considered along with the size exclusion and wall retardation effects. It was also shown [13][14][15][16][17] that particles subjected to radial inertial forces tend to a certain equilibrium position between the capillary axis and the wall and concentrate in this annular region. For such phenomenon the term "tubular pinch effect" was proposed by Segre and Silberberg [17].…”

Section: Introductionmentioning

confidence: 99%

“…It means that differences between the velocities become noticeable provided that the particle sizes are more than a few percent of a capillary diameter. Later the detailed theoretical analysis was developed for the separation process based on a fundamental model for the convection‐diffusion transport of an isolated, rigid, spherical Brownian particle suspended in a Poiseuille flow in a capillary . The inertial, double‐layer electrostatic, and van der Waals attractive forces acting between colloidal particles and the capillary wall and affecting the radial distribution of particles have been considered along with the size exclusion and wall retardation effects.…”

Section: Introductionmentioning

confidence: 99%

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A new approach to the studies of submicron particle suspensions based on the effect of pressure in capillary zone electrophoresis

2013

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A new approach based on the effect of pressure in CZE is suggested for acceleration of particle migration in electrophoretic runs resulting in reduction of the analysis time. It provides conditions for studying fast processes in suspensions. The effect of pressure on the migration of silica spheres with average diameters of 100, 150, and 390 nm was studied by CZE at an applied voltage of 25 kV. The particle hydrodynamic behavior was also investigated under the same capillary dimensions and BGE composition. The total particle mobility (excluding the average flow rate) was found to increase with increasing the pressure applied and particle size. The particle migration mechanism explaining the effect of pressure on particle velocity was shown to be almost the same as in wide-bore hydrodynamic chromatography. It is based on changing radial distribution of particle concentration along the capillary cross section depending on particle diffusivity. On the basis of this mechanism appearance of a zone of negatively charged particles in electropherograms ahead of the marker peak can be explained.

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Lateral Migration of a Spherical Particle in Flows in a Circular Tube

Cited by 40 publications

References 21 publications

Rheometry-on-a-chip: measuring the relaxation time of a viscoelastic liquid through particle migration in microchannel flows

Rheometry-on-a-chip: measuring the relaxation time of a viscoelastic liquid through particle migration in microchannel flows

Axial dispersion of submicron particles in capillary hydrodynamic fractionation

A new approach to the studies of submicron particle suspensions based on the effect of pressure in capillary zone electrophoresis

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