Tuning the dispersion of reactive solute by steady and oscillatory electroosmotic–Poiseuille flows in polyelectrolyte-grafted micro/nanotubes

摘要: This paper extends the analysis of solute dispersion in electrohydrodynamic flows to case band broadening polyelectrolyte-grafted (soft) capillaries by accounting for effects ion partitioning, irreversible catalytic reaction and pulsatile flow actuation. In Debye–Huckel limit, we present benchmark solutions electric potential velocity distribution pertinent steady oscillatory mixed electroosmotic–pressure-driven soft capillaries. Afterwards, mathematical models based on Taylor–Aris theory generalized method are presented investigate late-time asymptotic state all-time evolution hydrodynamic dispersion, respectively. Also, determine heterogeneous behaviour through all spatiotemporal stages relax constraint small zeta potentials, a full-scale numerical simulation time-dependent transport is employing second-order-accurate finite difference method. Then, inspecting passive tracer particles Poiseuille flows, examine accuracy two analytical approaches against results custom-built algorithm. Our findings from reveal that, compared rigid capillaries, more time required approach longitudinal normality transverse uniformity injected For it found that characteristics interface, including thickness, permittivity, fixed charge density friction coefficient polymer coating layer, play significant role determining Taylor diffusion coefficient, advection speed rate solutes