Influence of rotation on peristaltic flow for pseudoplastic fluid: a wavy channel

Abstract

The phenomenon of rotation serves multiple purposes in cosmic and geophysical phenomena. It offers insights into the formation of galaxies and the circulation patterns of oceans. Moreover, rotational diffusion elucidates the orientation of nanoparticles within fluid mediums. Investigating the dynamics of fluid peristalsis under the influence of rotational forces holds significant relevance in addressing challenges associated with the transportation of conductive physiological fluids such as blood, polymeric materials, and saline water. This study focused on studying the impact of rotation on the peristaltic transport of non-Newtonian pseudoplastic fluids through a wavy channel. The complexity of flow equations, including the continuity and motion equations, is mathematically formulated and transformed into dimensionless nonlinear ordinary differential equations depending on the assumption of low Reynolds number and long wavelength approximation. Perturbation technique is employed to solve the problem for the stream function and the resulted system is implemented and plotted using MATHEMATICA software along with the boundary conditions. Graphical discussion is involved to utilize the impact of the emerging parameters in the flow characteristic, encompassing the velocity profile, pressure gradient, pressure rise, and trapping phenomenon. The research revealed that rotation significantly influences the fluid flow within the channel, diminishing the regressive and inhibitory impact of the fluid parameter, consequently enhancing the fluid flow within the channel.

Keywords

• Peristaltic transport
• Pseudoplastic fluid
• Rotation force
• Wavy channel