A mathematical framework for peristaltic flow analysis of non-Newtonian Sisko fluid in an undulating porous curved channel with heat and mass transfer effects

Abstract

Background and objectivePeristaltic is one of the most frequently occurring phenomenon in biological systems. These systems of the human body (especially digestive, reproductive, respiratory, renal system) generally involve effects of curvature, porosity, rheology and heat transfer. Thus, in the present investigation we integrate heat transfer phenomenon with Sisko fluid flowing through porous medium bounded within curved wavy walls. The theoretical analysis presented under long wavelength approximation serves as a model for the creeping non-isothermal flow of blood through a diseased segment of the artery due to vasomotion (peristaltic motion) in the artery. MethodsThe highly nonlinear ordinary differential equation with appropriate boundary conditions is solved using a well-tested implicit finite difference scheme. A comparison of velocity profile for Newtonian, power-law and Sisko fluids is also presented. ResultsThe Sisko model predict higher values of velocity in the central core region than power-law and Newtonian model. The size of circulating bolus of fluid reduces with increasing permeability parameter. The symmetry in velocity and streamlines pattern is observed when dimensionless radius of curvature becomes very large.