Utilization of entire new dynamical system approach for peristalsis of Power law fluid with temperature-dependent viscosity

Abstract

Peristalsis of non-Newtonian fluid with variable viscosity and viscous dissipation is considered in this paper. Modified Brinkman number highlighting both the variable viscosity and viscous dissipation is introduced. By utilizing the long wavelength and small Reynold number approximations, an analytical solution is obtained for stream function. The qualitative analysis is presented using the theory of dynamical system. The phase portraits representing topological structures like trapping, augmented flow and the backward flow are drawn. The change in qualitative flow patterns is discussed from the bifurcation diagrams. The exact size of the bolus is numerically determined. HIGHLIGHTS Analytical solution for Power law fluid with temperature-dependent viscosity. The theory of dynamical system is utilized for stability and bifurcation analysis. The topological structure of the flow is presented using bifurcation theory and phase plane analysis. The size of the bolus is calculated numerically.