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Microfluidics and Nanofluidics

, Volume 16, Issue 1–2, pp 257–264 | Cite as

Mesoscopic simulation of the transient behavior of semi-diluted polymer solution in a microchannel following extensional flow

  • Sergey LitvinovEmail author
  • Xiangyu Hu
  • Marco Ellero
  • Nikolaus Adams
Research Paper

Abstract

Using dissipative particle dynamics simulation, we investigate the transient behavior of a semi-dilute polymer solution in a microchannel at moderate Weissenberg numbers. The employed simulation method allows to study macroscopic properties of the solution and their relation to the microscopic properties of individual polymer. The solution enters the channel following an extensional flow with all polymers uniformly stretched. We observe that the shape of the velocity profile varies along the channel, from an almost parabolic to center-flattened type. The fully developed velocity profile at equilibrium is accurately described by the Carreau-Yasuda rheological model. We find that the relaxation time for the profile shape is equal to the relaxation time of the polymer extension in the flow direction. The established relation offers the potential to be utilized for microfluidics-based rheometers which measure, besides the steady solution rheology, also the polymer relaxation time using flow velocity data only.

Keywords

Shear Rate Velocity Profile Dissipative Particle Dynamic Extensional Flow Weissenberg Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The authors would like to thank Uli Kleßinger and Andreas Bausch for the useful discussion. M.E. acknowledges the financial support provided by DFG via the EN 503/1-1 grant. S.L. gratefully acknowledges the support of the TUM-Graduate School Faculty Graduate Center Mechanical Engineering at the TU München. Simulations have been performed at Leibniz-Rechenzentrum, Garching, Munich, Germany.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Sergey Litvinov
    • 1
    Email author
  • Xiangyu Hu
    • 1
  • Marco Ellero
    • 1
  • Nikolaus Adams
    • 1
  1. 1.Institute of Aerodynamics and Fluid MechanicsTechnische Universität MünchenGarchingGermany

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