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Simulation of ratcheting non-Newtonian fluids using a geometric anisotropy

Author

Listed:
  • Chrispell, J.C.
  • Jenkins, E.W.
  • Westerbaan, P.

Abstract

In this work, we describe a simulation framework for fluid movement in a corrugated sawtooth channel whose walls are undergoing periodic repeated oscillations. The sawtooth geometry of the channel walls creates a fluid ratchet by generating an anisotropy in the fluid impedance. The simulations are developed using an immersed boundary method, and we present numerical results for both Newtonian and non-Newtonian fluids. These results are in agreement with physical studies of ratchets in the literature and with general flow behaviors expected for non-Newtonian fluids. In particular, we find enhanced mean flow rates for non-Newtonian fluids up to a critical value of the Weissenberg number. Existence of such a critical value has been shown for non-Newtonian flows in other environments, but has not been explored computationally for fluid ratchets. We also provide results which highlight the difference in movement of ratcheted non-Newtonian versus Newtonian fluids.

Suggested Citation

  • Chrispell, J.C. & Jenkins, E.W. & Westerbaan, P., 2021. "Simulation of ratcheting non-Newtonian fluids using a geometric anisotropy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 436-454.
    • Handle: RePEc:eee:matcom:v:188:y:2021:i:c:p:436-454
    DOI: 10.1016/j.matcom.2021.04.021
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