Bifurcation and Stability Analysis of Stagnation Point for Fluid Flow in an Inclined Channel with Inclined Magnetic Field for Peristaltic Transport

Abstract

Streamlined peristaltic transport patterns, bifurcations of equilibrium points, and effects of an inclined magnetic field and channel are shown in this study. The incompressible fluid has been the subject of the model's investigation. The Reynolds values for evanescence and an infinite wavelength are used to constrain the flow while it is being studied in a slanted channel with a slanted magnetic field. The topologies over their domestic and cosmopolitan bifurcations are investigated for the outcomes, and notion of the dynamical system are employed. The Mathematica software is used to solve the nonlinear autonomous system. The flow is found to have three different flow distributions namely augmented, trapping and backward flow. Outcomes are graphically represented along with a number of parameters that have an impact on how the fluid behaves when flowing with bifurcations.