Blood flow of nanofluid through an artery with composite stenosis and permeable walls

R Ellahi,S Nadeem,N S Akbar,S U Rahman

doi:10.1007/s13204-013-0253-6

Abstract

This problem deals with the theoretical study of blood flow of nanofluid through composite stenosed arteries with permeable walls. The highly nonlinear momentum equations of nanofluid model are simplified by considering the mild stenosis case. Temperature and nanoparticle equations are coupled; so, we use homotopy perturbation method to calculate the solution of temperature and nanoparticle equations, while the exact solution has been calculated for velocity profile. Also, the expressions for flow impedance, pressure gradient and stream function are computed. These solutions depend on Brownian motion number Nb, thermophoresis number Nt, local temperature Grashof number Gr and local nanoparticle Grashof number Br. The effects of various emerging parameters are discussed through graphs for different values of interest.

Highlights

In cardiac related problems, the effected arteries get hardened as a result of accumulation of fatty substances inside the lumen or because of formation of plaques
This article is published with open access at Springerlink.com. This problem deals with the theoretical study of blood flow of nanofluid through composite stenosed arteries with permeable walls
Temperature and nanoparticle equations are coupled; so, we use homotopy perturbation method to calculate the solution of temperature and nanoparticle equations, while the exact solution has been calculated for velocity profile

Summary

Introduction

The effected arteries get hardened as a result of accumulation of fatty substances inside the lumen or because of formation of plaques. Abstract This problem deals with the theoretical study of blood flow of nanofluid through composite stenosed arteries with permeable walls. Keywords Blood flow Á Nanofluid Á Artery with composite stenosis Á Permeable walls A number of theoretical studies related to blood flow through stenosis arteries has been performed by Nadeem and Akbar (2009, 2011).

Results

Conclusion