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Inertioelastic Poiseuille flow over a wavy surface

Simon J. Haward1, Jacob Page2,3, Tamer A. Zaki4, and Amy Q. Shen1

  • 1Okinawa Institute of Science and Technology Graduate University, 1919-1 Tancha, Onna-son, Okinawa 904-0495, Japan
  • 2School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom
  • 3Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
  • 4Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland 21218, USA

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Phys. Rev. Fluids 3, 091302(R) – Published 21 September, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.091302

Abstract

Streamwise boundary undulations induce spanwise vorticity in flows. In Newtonian flow, vorticity decays exponentially with distance from the undulation. However, recent theory for inertioelastic polymeric flow predicts vorticity amplification in a “critical layer” far from the site of disturbance. Here we present the first experimental evidence for the existence of such critical layers, demonstrating their measurable role in real polymeric flows with inertia. These vorticity amplification effects should be considered in all evaluations of vorticity dynamics in inertioelastic flows with streamline curvature.

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Phys. Rev. Fluids 3, 091302(R)– Published 21 September, 2018
  • Received 22 January 2018
  • Revised 29 March 2018
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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