Streamline topologies and bifurcation analysis for electroosmosis peristaltic flow of FENE-P fluid through an asymmetric channel

Abstract

The bifurcation of stagnation points and streamlines topologies of various flow phenomena for the transportation of FENE-P fluid due to electro-osmotic peristaltic activity have been investigated via dynamical system approach. The study focuses on the flow within an asymmetric channel, using well-known approximations that assume long wavelength and an extremely low Reynolds number. Autonomous differential equations have been established to point out the stagnation points. Three various flow distributions: backward, trapping and augmented flow are cropped up in the flow. The transition of these phenomena correspond two critical (bifurcation) conditions. Variations of the involved parameters have a notable impact on the streamline topologies in these flow distributions, as well as on the bifurcations of stagnation points. The trapping region is found to expand by enlarging the electric potential on the channel walls. However, increments in the Helmholtz-Smoluchowski velocity and electro-osmotic parameter reduces the trapping phenomenon in the flow. The findings acquired undergo examination through global bifurcation diagrams. This analysis could form the basis for constructing a mathematical framework. Such a framework would be useful in investigating the quantitative influences of the parameters involved in the diverse flow phenomena.