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

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 N b , thermophoresis number N t , local temperature Grashof number G r and local nanoparticle Grashof number B r . The effects of various emerging parameters are discussed through graphs for different values of interest.

Examination of nanoparticles as a drug carrier on blood flow through catheterized composite stenosed artery with permeable walls

“…They explored the influence of nanoparticles with heat and mass transfer on resistance impedance and wall shear stress. Ellahi et al [22].discussed the nanoparticles effects on the blood flow through the composite stenosed artery along permeable walls. For further analysis see Refs.…”

Mathematical Modelling on an Electrically Conducting Fluid Flow in an Inclined Permeable Tube with Multiple Stenoses

“…In many cases, the series (19) and (20) are convergent, which depends on the nonlinear part of the equation. Implementing same procedure as done by R. Ellahi [14], the solution for temperature and nanoparticle phenomena can be obtained for as (21) International Journal of Innovative Technology and Exploring Engineering (IJITEE) ISSN: 2278-3075, Volume-9, Issue-1, November 2019…”

“…The problems on non-Newtonian fluids considering nanoparticles in fluid flow have been studied by many researchers. The blood flow of nanofluid through an artery with composite stenosis and permeable walls have been discussed by Ellahi et al, [14]. Nabil et al, [17] studied peristaltic flow of a Jeffrey nanofluid in a tapered artery with mild stenosis and slip condition.…”

Impulsion of induced magnetic field for Brownian motion of nanoparticles in peristalsis

“…The peristaltic transport of blood under the effect of a magnetic field in nonuniform channels was studied by Mekheimer (2004). Further literature can be viewed through other references (Mekheimer 2008a, b;Akbar et al 2014a;Koo and Kleinstreuer 2004b;Abu-Nada 2010;Ghasemi and Aminossadati 2010;Koo and Kleinstreuer 2005;Nadeem et al 2014a;Ibrahim and Hamad 2006;Abu-Nada 2009;Jang and Choi 2007;Akbar and Khan 2015;Ellahi et al 2014;Akbar et al 2014b;Nadeem et al (2014b, c) Akbar 2014Sheikholeslami et al 2015;Sheikholeslami et al 2014a, b;Sheikholeslami and Gorji-Bandpy 2014). The aim of this study is to look at the effects of induced magnetic field on the peristaltic flow of four different nanoparticles with the base fluid water in the presence of Brownian motion, in a vertical asymmetric channel.…”