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Obstructed viscoplastic flow in a Hele-Shaw cell

Masoud Daneshi1, Jordan MacKenzie1, Neil J. Balmforth2, D. Mark Martinez1, and Duncan R. Hewitt3

  • 1Department of Chemical and Biological Engineering, University of British Columbia, Vancouver, Canada V6T 1Z4
  • 2Department of Mathematics, University of British Columbia, Vancouver, Canada V6T 1Z4
  • 3Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom

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Phys. Rev. Fluids 5, 013301 – Published 6 January, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.013301

Abstract

Experiments are conducted exploring the flow of Carbopol past obstacles in a narrow slot and compared with predictions of a model based on the Herschel-Bulkley constitutive law and the conventional Hele-Shaw approximation. Although Carbopol is often assumed to be a relatively simple yield-stress fluid, the flow pattern around an obstacle markedly lacks the fore-aft symmetry expected theoretically. Such asymmetry has been observed previously for viscoplastic flows past obstacles in unconfined geometries, but the narrowness of the Hele-Shaw cell ensures that the stress state is very different, placing further constraints on the underlying origin. The asymmetry is robust, as demonstrated by varying the shape and number of the obstacles, the surfaces of the cell walls, and the steadiness of the flow rate. The results suggest that rheological hysteresis near the yield point may be the cause of the asymmetry.

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Outline

Information

Phys. Rev. Fluids 5, 013301– Published 6 January, 2020
  • Received 4 July 2018
  • Revised 23 October 2018
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