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Obstructed viscoplastic flow in a Hele–Shaw cell

Daneshi, M; Mackenzie, J; Hewitt, D; balmforth, N; martinez, M; (2020) Obstructed viscoplastic flow in a Hele–Shaw cell. Physical Review Fluids , 5 (1) , Article 013301. 10.1103/PhysRevFluids.5.013301. (In press). Green open access

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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.

Type: Article
Title: Obstructed viscoplastic flow in a Hele–Shaw cell
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevFluids.5.013301
Publisher version: https://doi.org/10.1103/PhysRevFluids.5.013301
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10086417
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