Magnetohydrodynamic MHD flow of a RedOx electrolyte in a straight conduit is investigated theoretically. Inert electrodes are deposited along segments of the opposing walls of a straight conduit that is filled with a RedOx electrolyte solution. The conduit is positioned in a uniform magnetic field. When a potential difference is applied across the opposing electrodes, the resulting current inte...

A simple model for the motion of shape-changing swimmers in Poiseuille flow was recently proposed and numerically explored by Omori et al. ( J. Fluid Mech. , vol. 930, 2022, A30). These explorations hinted that a small number interacting mechanics can drive long-time behaviours this model, cast context well-studied alga Chlamydomonas its rheotactic such flows. Here, we explore analytically via ...

A modal stability analysis shows that plane Poiseuille flow of an Oldroyd-B fluid becomes unstable to a `center mode' with phase speed close the maximum base-flow velocity, $U_{max}$. The governing dimensionless groups are Reynolds number $Re = \rho U_{max} H/\eta$, elasticity $E \lambda \eta/(H^2\rho)$, and ratio solvent solution viscosity $\eta_s/\eta$; here, $\lambda$ is polymer relaxation t...