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Effects of wall groove misalignment on viscoplastic flow dynamics in superhydrophobic channels

A. Joulaei, H. Rahmani, and S. M. Taghavi*

  • Department of Chemical Engineering, Université Laval, Québec City, Québec, Canada G1V 0A6

  • *Contact author: Seyed-Mohammad.Taghavi@gch.ulaval.ca
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Phys. Rev. Fluids 9, 123301 – Published 4 December, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.123301

Abstract

Steady-state numerical simulations are conducted to analyze viscoplastic flows in a two-dimensional channel with two superhydrophobic surfaces, featuring grooves with air trapped and a nearly flat liquid-air interface. The Bingham model with the Papanastasiou regularization is used, and the thin channel limit is considered. By focusing on the creeping flow limit, the impact of varying the groove misalignment, via the offset number (ɛ), along with the other dimensionless flow parameters, including the Bingham number (Bn), slip number (b), groove periodicity (ℓ), and slip area fraction (φ), are examined. The results reveal that varying ɛ significantly affects the velocity profiles, center plug morphology, and yielded and unyielded zones. Also, the deviation velocity field and deviation strain rate magnitude are particularly influenced by ɛ and Bn, and they play crucial roles in the morphology of the center plugs, leading to deformation, breakage, and asymmetry in both velocity and strain rate profiles. Finally, influenced by the interaction of these parameters, four regimes of plug behavior are identified, highlighting the complex dynamics of our viscoplastic flow in channels with misaligned superhydrophobic surfaces.

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Phys. Rev. Fluids 9, 123301– Published 4 December, 2024
  • Received 19 March 2024
  • Accepted 4 November 2024
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