2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168429The volume flow rates of Eyring-fluids inside the wavy-rough nanoannulus were obtained analytically (up to the second order) by using the verified model and boundary perturbation method. Our results show that the wavy-roughness could enhance the flow rate especially for smaller forcing due to the larger surface-to-volume ratio and slip-velocity effect. Meanwhile, the phase shift between the outer and inner walls of nanoannuli could tune the transport of Eyring-fluids either forward or backward when the wavy-roughness of a nanoannulus is larger enough. Our results could be applied to the flow control in nanofluidics as well as biofluidics.2 FiguresSoft Condensed MatterOther Condensed Mattertext