2024
DOI: 10.1017/jfm.2024.197
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A comprehensive model for viscoplastic flows in channels with a patterned wall: longitudinal, transverse and oblique flows

H. Rahmani,
S.M. Taghavi

Abstract: We develop a comprehensive model for the creeping Poiseuille Bingham flow in channels equipped with a patterned wall, i.e. decorated with grooves or stripes that may represent a superhydrophobic (SH) or a chemically patterned (CP) surface, respectively, with longitudinal, transverse and oblique groove (stripe) orientations with respect to the applied pressure gradient. We rely on the Navier slip law to model the boundary condition on the slippery grooves. We develop semi-analytical, explicit-form and complemen… Show more

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