Migration of macromolecules under flow: the physical origin and engineering implications

Agarwal, US Uday; Dutta, Anindya; Mashelkar, R. A.

doi:10.1016/0009-2509(94)80057-x

Cited by 151 publications

(126 citation statements)

References 173 publications

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“…The work of Jendrejack et al [26] also predicted that the DNA molecules migrate away from the wall in shear flow, leading to the formation of depletion layers in the near wall region. This prediction ha been observed in recent experiments of dilute DNA solutions undergoing pressure-driven flow in microchannels [29][30][31].…”

Section: Introductionsupporting

confidence: 62%

DNA Molecules in Microfluidic Oscillatory Flow

Chen¹,

Graham²,

Pablo³

et al. 2005

Macromolecules

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The conformation and dynamics of a single DNA molecule undergoing oscillatory pressure-driven flow in microfluidic channels is studied using Brownian dynamics simulations, accounting for hydrodynamic interactions between segments in the bulk and between the chain and the walls. Oscillatory flow provides a scenario under which the polymers may remain in the channel for an indefinite amount of time as they are stretched and migrate away from the channel walls. We show that by controlling the chain length, flow rate and oscillatory flow frequency, we are able to manipulate the chain extension and the chain migration from the channel walls. The chain stretch and the chain depletion layer thickness near the wall are found to increase as the Weissenberg number increases and as the oscillatory frequency decreases.

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Section: Introductionsupporting

confidence: 62%

DNA Molecules in Microfluidic Oscillatory Flow

Chen¹,

Graham²,

Pablo³

et al. 2005

Macromolecules

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“…17 These phenomena have obvious implications for adsorption and desorption of macromolecules at solid surfaces, as molecules that tend to migrate away from walls are unlikely to adsorb on them. Motivated by these considerations, the focus of the present work is the development of an analytical theory of dilute polymer solutions flowing near solid surfaces.…”

Section: Introductionmentioning

confidence: 99%

Theory of shear-induced migration in dilute polymer solutions near solid boundaries

2005

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In this work, a continuum theory is developed for the behavior of flowing dilute polymer solutions near solid surfaces, using a bead-spring dumbbell model of the dissolved polymer chains. Hydrodynamic interactions between the chains and the wall lead to migration away from the wall in shear flow. At steady state, this hydrodynamic effect is balanced by molecular diffusion; an analytical expression for the resulting concentration profile is derived. It is shown that the depletion layer thickness is determined by the normal stresses that develop in flow and can be much larger than the size of the polymer molecule. The transient development of this depletion layer is also studied, as well as the spatial development downstream from an entrance. Numerical and similarity solutions in these cases show that the developing concentration profile generally displays a maximum at an intermediate distance from the wall.

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“…The understanding of the transport of polymer solutions is important to chromatography, electrophoresis, adhesion, lubrication, polymer processing, oil recovery, etc. Recently, there has been an increasing interest in the areas of macromolecular transport in channels with widths comparable to size of a single molecule [1]. For example, the understanding of the structure and dynamics of polymeric molecules in micro-channels is important to DNA sequencing in channels with widths ranging from 10 to 50µm [2], DNA delivery through micro-capillaries in gene therapy, and to lab-on-chip applications that involve polymers [3].…”

Section: Introductionmentioning

confidence: 99%

“…These experiments showed that the polymer chains become elongated along the flow direction. Several experiments indicated the existence of a depletion layer in the polymers near the confining walls [1,4,5,6,7]. The recent experiment by Horn * Submitted to J. Chem.…”

Section: Introductionmentioning

confidence: 99%

“…Consequently, the steric effect of the walls on the polymer chains is less severe than at equilibrium conditions. However, experiments [1] on dilute polymer solutions demonstrated that even in the case of uniform shear flow, the polymer chains migrate away from the wall leading to a depletion layer that is wider than at equilibrium. Therefore, the thermodynamic arguments alone are unable to fully account for the migration of the polymer chains observed in experiments.…”

Section: Introductionmentioning

confidence: 99%

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Pressure driven flow of polymer solutions in nanoscale slit pores

Millan

Jiang

Laradji

et al. 2007

The Journal of Chemical Physics

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Polymer solutions subject to pressure driven flow and in nanoscale slit pores are systematically investigated using the dissipative particle dynamics approach. We investigated the effect of molecular weight, polymer concentration and flow rate on the profiles across the channel of the fluid and polymer velocities, polymers density, and the three components of the polymers radius of gyration. We found that the mean streaming fluid velocity decreases as the polymer molecular weight or/and polymer concentration is increased, and that the deviation of the velocity profile from the parabolic profile is accentuated with increase in polymer molecular weight or concentration. We also found that the distribution of polymers conformation is highly anisotropic and non-uniform across the channel. The polymer density profile is also found to be non-uniform, exhibiting a local minimum in the center-plane followed by two symmetric peaks. We found a migration of the polymer chains either from or towards the walls. For relatively long chains, as compared to the thickness of the slit, a migration towards the walls is observed. However, for relatively short chains, a migration away from the walls is observed.

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Migration of macromolecules under flow: the physical origin and engineering implications

Cited by 151 publications

References 173 publications

DNA Molecules in Microfluidic Oscillatory Flow

DNA Molecules in Microfluidic Oscillatory Flow

Theory of shear-induced migration in dilute polymer solutions near solid boundaries

Pressure driven flow of polymer solutions in nanoscale slit pores

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