Alterations in electroosmotic slip velocity: combined effect of viscoelasticity and surface potential undulation

In computational models of microchannel flows, the Helmholtz–Smoluchowski slip velocity boundary condition is often used because it approximates motion electric double layer without resolving charge density profiles close to walls while drastically reducing effort needed for flow model be solved. Despite working well straight channel Newtonian fluids, approximation does not work involving complex fluids and spatially varying surface potential distribution. To treat these effects using condition, necessary understand how fluid properties affect velocity. The present analysis shows existence a modified electroosmotic viscoelastic which strongly dependent upon Deborah number viscosity ratio, this modification differs significantly from fluids. An augmentation elasticity results in an asymmetric distribution Nonintuitively, modulation wavelength imposed contributes changing magnitude adding periodicity solution. proposed can flows approximate walls.