Cross-Stream Migration in Dilute Solutions of Rigid Polymers undergoing Rectilinear Flow near a Wall
Kinetic theory is used to investigate cross-stream migration of a rigid polymer undergoing rectilinear flow in the vicinity of a wall. Hydrodynamic interactions between the polymers and the boundary result in a cross-stream migration. In simple shear flow, polymers migrate away from the wall, creating a depletion layer in the vicinity of the wall which thickens as the flow strength increases relative to the Brownian force. In pressure-driven flow, an off-center maximum in the center-of-mass distribution occurs due to a competition between hydrodynamic interactions with the wall and the anisotropic diffusivity induced by the inhomogeneous flow field.
J. Park et al., "Cross-Stream Migration in Dilute Solutions of Rigid Polymers undergoing Rectilinear Flow near a Wall," Physical Review E, vol. 76, no. 4, American Physical Society (APS), Oct 2007.
The definitive version is available at https://doi.org/10.1103/PhysRevE.76.040801
Chemical and Biochemical Engineering
Keywords and Phrases
Flow Fields; Hydrodynamics; Polymer Matrix; Surface Diffusion; Wall Flow; Depletion Layers; Dilute Solutions; Hydrodynamic Interactions; Rectilinear Flow; Kinetic Theory
International Standard Serial Number (ISSN)
Article - Journal
© 2007 American Physical Society (APS), All rights reserved.
01 Oct 2007