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Journal of Chemical Physics / Volume 136 / Issue 4 / ARTICLES / Polymers and Complex Systems

J. Chem. Phys. 136, 044904 (2012); http://dx.doi.org/10.1063/1.3678852 (8 pages)

Dynamics of fibers in a wide microchannel

Agnieszka M. Słowicka, Maria L. Ekiel-Jeżewska, Krzysztof Sadlej, and Eligiusz Wajnryb

Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106 Warsaw, Poland

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(Received 6 October 2011; accepted 28 December 2011; published online 31 January 2012)

Dynamics of single flexible non-Brownian fibers, tumbling in a Poiseuille flow between two parallel solid plane walls, is studied with the use of the HYDROMULTIPOLE numerical code, based on the multipole expansion of the Stokes equations, corrected for lubrication. Fibers, which are closer to a wall, more flexible (less stiff) or longer, deform more significantly and, for a wide range of the system parameters, they faster migrate towards the middle plane of the channel. For the considered systems, fiber velocity along the flow is only slightly smaller than (and can be well approximated by) the Poseuille flow velocity at the same position. In this way, the history of a fiber migration across the channel is sufficient to determine with a high accuracy its displacement along the flow.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. MOTION OF FIBERS IN POISEUILLE FLOW: THEORETICAL MODEL
    1. Problem
    2. Model of a fiber: Elastic and bending forces
    3. Fiber dynamics: Theoretical and numerical methods
  3. RESULTS
    1. Basic information
    2. Typical evolution of a single fiber
    3. Dependence on initial position across the channel
    4. Dependence on length (number of segments)
    5. Dependence on bending stiffness
  4. CONCLUSIONS

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KEYWORDS and PACS

Keywords

flow simulation, microchannel flow, Poiseuille flow, polymer fibres, two-phase flow

PACS

  • 47.61.Jd

    Multiphase flows

  • 61.41.+e

    Polymers, elastomers, and plastics

  • 47.60.Dx

    Flows in ducts and channels

  • 47.11.-j

    Computational methods in fluid dynamics

  • 47.15.Rq

    Laminar flows in cavities, channels, ducts, and conduits

  • 47.57.Ng

    Polymers and polymer solutions

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3678852

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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