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

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

Asghar, Zeeshan;Ali, Nasir;Ahmed, Raheel;Waqas, Muhammad;Khan, Waqar Azeem;
computer methods and programs in biomedicine 2019 Vol. 182 pp. 105040
216
asghar2019acomputer

Abstract

Peristaltic 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.The 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.The 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.

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