Mathematical Analysis of Non-Newtonian Fluid Flow through Wavy Conduit

Abstract

The flow properties of non-Newtonian peristaltic flow in elliptic cross-sectioned channel are revealed in this thesis along with new conclusions and findings. The purpose of present research problem is investigate the feature of non-Newtonian fluid via eliptic cross-sectioned conduit. The fluid propels because of wavy(sinusoidal) movement of channel’s boundary. The impact of inclination angle is also encountered and the channel is taken at an angle of β with the horizontal. The mathematical rep- resentation of the problem is given by adopting Carreau fluid model with no-slip at the elliptical boundary. The solution of the mathematical model is attained via apply- ing polynomials method along with perturbation method. The analytically attained solutions are examined by their pictorial representation. The graphs are assessed and discussed in detail. The axial velocity increases in magnitude as the volumetric flow rate, non-Newtonian constraint m, and inclination angle increase. The Weissenberg number, on the other hand, exhibits dual nature; it decreases in the surrounding area and increases in the vicinity of the elliptic border wall. The higher values are observed for vertical and sloping channels in comparison to horizontal one. It is observed that the non-Newtonian forces are more prevalent in the minor axis direction than in the other way.