title: The analysis of MHD blood flows through porous arteries using a locally modified homogenous nanofluids model.
abstract: In this paper, magneto-hydrodynamic blood flows through porous arteries are numerically simulated using a locally modified homogenous nanofluids model. Blood is taken into account as the third-grade non-Newtonian fluid containing nanoparticles. In the modified nanofluids model, the viscosity, density, and thermal conductivity of the solid-liquid mixture (nanofluids) which are commonly utilized as an effective value, are locally combined with the prevalent single-phase model. The modified governing equations are solved numerically using Newton's method and a block tridiagonal matrix solver. The results are compared to the prevalent nanofluids single-phase model. In addition, the efficacies of important physical parameters such as pressure gradient, Brownian motion parameter, thermophoresis parameter, magnetic-field parameter, porosity parameter, and etc. on temperature, velocity and nanoparticles concentration profiles are examined.
authors.affiliation: School of Mechanical Engineering, Shahrood University of Technology, Shahrood, P.O. Box: 3619995161, Iran. Tel.: +98 9122022776; E-mails: Akbarzad@ut.ac.ir, p.akbarzaeh@shahroodut.ac.ir.
authors.forename: Pooria
authors.initials: P
authors.lastname: Akbarzadeh
mesh_terms: D001158:Arteries / Q000502:physiology*; D003198:Computer Simulation; D018056:Hemorheology; D006801:Humans; D057446:Hydrodynamics; D060526:Magnetic Fields; D008955:Models, Cardiovascular; D016062:Porosity; D013816:Thermodynamics
keywords: Nanofluids; locally modified homogenous model; magnetohydrodynamic; porous arteries; third-grade non-Newtonian fluid