A new interfacial condition for the peristaltic flow of a micropolar fluid

Abstract

In the present article, it is aimed to discuss a new boundary condition for a slip in peristaltic transport for a micropolar fluid within an asymmetric medium. Power-law fluid with a thin film of coating will be used for lubrication purposes. Flow analysis is carried out for a two-dimensional asymmetric medium. Exact solutions are obtained for micro-rotation component, velocity, and stream function, for low Reynolds number and long wavelength assumptions. Velocity increase near the lower wall of the channel, while opposite behavior is observed at the upper wall. For the case of pumping, pressure increases with lubricant parameter and coupling number in pumping region, while decrease with micropolar parameter, phase difference, and channel width. On enhancing the impacts of lubrication, boluses start to disappear and become streamlines, which are parallel to the channel walls giving the laminar flow. The reflux criteria in the presence of lubrication is also discussed. The effects of lubricant parameter on wall shear stress are also debated. The magnitude of shear stress decreases on enhancing the amount of lubrication. Our findings align with the available literature for a particular scenario.

Keywords

• Peristaltic transport
• Micropolar fluid
• Asymmetric channel
• Slip boundary condition
• Pumping
• Trapping