2014
DOI: 10.1103/physreve.90.010301
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Anomalous preasymptotic colloid transport by hydrodynamic dispersion in microfluidic capillary flow

Abstract: The anomalous preasymptotic transport of colloids in a microfluidic capillary flow due to hydrodynamic dispersion is measured by noninvasive nuclear magnetic resonance (NMR). The data indicate a reduced scaling of mean squared displacement with time from the 〈z(t)(2)〉(c) ∼ t(3) behavior for the interaction of a normal diffusion process with a simple shear flow. This nonequilibrium steady-state system is shown to be modeled by a continuous time random walk (CTRW) on a moving fluid. The full propagator of the mo… Show more

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Cited by 13 publications
(9 citation statements)
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“…SNR was calculated as the mean signal magnitude from these ROIs divided by the standard deviation of signal magnitude from a region outside of the flow column. The SNR for [q 1 , q 2 , q 3 , q 4 , q 5 ] was [70,70,70,60,50] for the beadpack and [200,200,170,130,80] for the bulk, similar for both +q and −q and for all flow rates.…”
Section: Methodsmentioning
confidence: 95%
See 1 more Smart Citation
“…SNR was calculated as the mean signal magnitude from these ROIs divided by the standard deviation of signal magnitude from a region outside of the flow column. The SNR for [q 1 , q 2 , q 3 , q 4 , q 5 ] was [70,70,70,60,50] for the beadpack and [200,200,170,130,80] for the bulk, similar for both +q and −q and for all flow rates.…”
Section: Methodsmentioning
confidence: 95%
“…For a gas, e.g., propane with D ∼ 10 −6 m 2 /s [58], v min is on the order of 1 mm/s. Macromolecules and large particles can act as tracers and be sensitive to coherent displacements that are just larger than the particles themselves [59], e.g., for colloids with D ∼ 10 −13 m 2 /s [60] v min ∼ 100 nm/s. For free water, at room temperature with D = 2 × 10 −9 m 2 /s and ∆ = 1 s, the simple estimate √ 2D/∆ predicts v min ≈ 60 µm/s.…”
Section: Introduction To Phase Contrast Velocimetrymentioning
confidence: 99%
“…The systems studied in this work are in the preasymptotic hydrodynamic dispersion regime (i.e. Δ o oR 2 /D 0 , for water: R 2 /D 0 ¼7.2 s with D 0 ¼2.2 Â 10 À 9 m 2 /s, for colloidal particles: R 2 /D SES ¼23.1 h with D SES ¼1.7 Â 10 -13 m 2 /s (Fridjonsson et al 2014b)). Fig.…”
Section: Methodsmentioning
confidence: 99%
“…These NMR "active" particles have previously been studied with NMR to measure the diffusion characteristics of the internal oil (Wassenius et al, 2003) and velocimetry Callaghan, 2004, 2005). They have been used to demonstrate irreversibility of particle motion at dilute concentrations (Brown et al, 2007), shear induced migration in capillaries (Brown et al, 2009) and hydrodynamic dispersion in microcapillaries (Fridjonsson et al, 2014b). They have also been used to study deposition in porous media (Fridjonsson et al, 2014a), flow partitioning in bifurcations (Fridjonsson et al, 2011), effects of oscillatory flow (Evertz et al, 2012) and transport dynamics in open cell polymer foams (Brosten et al, 2010).…”
mentioning
confidence: 99%
“…Most of these techniques struggle to be quantitatively applied to the opaque, complex water in crude oil emulsions considered here. Microscopy and light scattering techniques, for example, are either destructive or invasive; light scattering can only be applied to dilute emulsions; and confocal microscopy needs the addition of fluorescent contrast agents to one of the emulsion phases. , NMR pulsed field gradient (PFG) techniques generate the DSD of emulsions based on the measurement of the restricted self-diffusion of molecules within the boundaries of the droplet phase; these do not require dilution and are effectively non-invasive . They can be readily applied to concentrated, opaque, or complex emulsions , as is the case in the work presented here.…”
Section: Introductionmentioning
confidence: 99%