Debye-Hckel solution for steady electro-osmotic flow of micropolar fluid in cylindrical microcapillary

Analytic expressions for speed,flux,microrotation,stress,and couple stress in a micropolar fluid exhibiting a steady,symmetric,and one-dimensional electro-osmotic flow in a uniform cylindrical microcapillary were derived under the constraint of the Debye-Hückel approximation,which is applicable when the cross-sectional radius of the microcapillary exceeds the Debye length,provided that the zeta potential is sufciently small in magnitude.Since the aciculate particles in a micropolar fluid can rotate without translation,micropolarity afects the fluid speed,fluid flux,and one of the two non-zero components of the stress tensor.The axial speed in a micropolar fluid intensifies when the radius increases.The stress tensor is confined to the region near the wall of the microcapillary,while the couple stress tensor is uniform across the cross-section.