2014/09/30 by Tatiana V. Nizkaya, Evgeny S. Asmolov, Jiajia Zhou +2 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Classical mechanics #Drag #Engineering #Flow (mathematics) #Fluid Dynamics and Heat Transfer #Lattice Boltzmann Simulation Studies #Mechanics #Mixing (physics) #Physics #Reynolds number #Shear flow #Surface Modification and Superhydrophobicity #Transverse plane #Turbulence #Vortex #cond-mat.soft #physics.chem-ph #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.91.033020
published as Phys. Rev. E 91, 033020 (2015) · 8 pages, 10 figures
arxiv created 2015/03/14 · openalex publication_date 2015/03/30 · arxiv updated 2017/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Aligned superhydrophobic surfaces with the same texture orientation reduce drag in the channel and generate secondary flows transverse to the direction of the applied pressure gradient. Here we show that a transverse shear can be easily generated by using superhydrophobic channels with misaligned textured surfaces. We propose a general theoretical approach to quantify this transverse flow by introducing the concept of an effective shear tensor. To illustrate its use, we present approximate theoretical solutions and Dissipative Particle Dynamics simulations for striped superhydrophobic channels. Our results demonstrate that the transverse shear leads to complex flow patterns, which provide a new mechanism of a passive vertical mixing at the scale of a texture period. Depending on the value of Reynolds number two different scenarios occur. At relatively low Reynolds number the flow represents a transverse shear superimposed with two corotating vortices. For larger Reynolds number these vortices become isolated, by suppressing fluid transport in the transverse direction.