The analysis of MHD blood flows through porous arteries using a locally modified homogenous nanofluids model

Article type: Research Article

Authors: Akbarzadeh, Pooria

Affiliations: School of Mechanical Engineering, Shahrood University of Technology, Shahrood, P.O. Box: 3619995161, Iran. Tel.: +98 9122022776; E-mails: [email protected], [email protected]

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.

Keywords: Nanofluids, third-grade non-Newtonian fluid, magnetohydrodynamic, locally modified homogenous model, porous arteries

DOI: 10.3233/BME-161564

Journal: Bio-Medical Materials and Engineering, vol. 27, no. 1, pp. 15-28, 2016