Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session X34: Non-Newtonian Flows: General
8:00 AM–10:36 AM,
Tuesday, November 21, 2023
Room: 201
Chair: Antony Beris, University of Delaware
Abstract: X34.00001 : Exploring the Influence of Wall Slip on Viscoplastic Saffman–Taylor Fingers
8:00 AM–8:13 AM
Presenter:
Thomasina V Ball
(University of Warwick)
Authors:
Thomasina V Ball
(University of Warwick)
Neil J Balmforth
(University of British Columbia)
In this talk we describe theoretical analysis that adopts conventional Hele-Shaw approximations but is generalised to include a model for the effective slip of the fluid over smooth walls. By performing a linear stability analysis, we show that the instability is significantly reduced when slip is included. To complement the theoretical results, we show a suite of experiments conducted using aqueous suspensions of Carbopol pumped into a Hele-Shaw cell through a circular vent. Instabilities are created by first pumping a disk of Carbopol into the cell, then either pumping air into the fluid-filled cell or withdrawing the Carbopol through the vent. In both cases, the fingers forming on the retreating air-Carbopol interface are interrogated as a function of flux, gap size and the type of cell walls. In agreement with the theoretical predictions, the instability is very different for cells with either rough or smooth walls, an effect that we attribute to effective slip.
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