title: Heat transfer and fluid flow of blood with nanoparticles through porous vessels in a magnetic field: A quasi-one dimensional analytical approach.
abstract: In the present study, the analytical study on blood flow containing nanoparticles through porous blood vessels is done in presence of magnetic field using Homotopy Perturbation Method (HPM). Blood is considered as the third grade non- Newtonian fluid containing nanoparticles. Viscosity of nanofluid is determined by Constant, Reynolds' and Vogel's models. Some efforts have been made to show the reliability and performance of the present method compared with the numerical method, Runge-Kutta fourth-order. The results reveal that the HPM can achieve suitable results in predicting the solution of these problems. Moreover, the influence of some physical parameters such as pressure gradient, Brownian motion parameter, thermophoresis parameter, magnetic filed intensity and Grashof number on temperature, velocity and nanoparticles concentration profiles is declared in this research. The results reveal that the increase in the pressure gradient and Thermophoresis parameter as well as decrease in the Brownian motion parameter cause the rise in the velocity profile. Furthermore, either increase in Thermophoresis or decrease in Brownian motion parameters results in enhancement in nanoparticle concentration. The highest value of velocity is observed when the Vogel's Model is used for viscosity.
authors.affiliation: Department of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, Iran; Research School of Engineering, The Australian National University, Canberra, ACT 2601, Australia.
authors.forename: A
authors.initials: A
authors.lastname: Rahbari
authors.affiliation: Young Researchers and Elite Club, Sari Branch, Islamic Azad University, Sari, Iran. Electronic address: mehdi_fakoor8@yahoo.com.
authors.forename: M
authors.initials: M
authors.lastname: Fakour
authors.affiliation: Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran.
authors.forename: A
authors.initials: A
authors.lastname: Hamzehnezhad
authors.affiliation: School of Mechanical Engineering, Department of Energy Conversion, Shahid Beheshti University, Tehran, Iran.
authors.forename: M Akbari
authors.initials: MA
authors.lastname: Vakilabadi
authors.affiliation: Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran.
authors.forename: D D
authors.initials: DD
authors.lastname: Ganji
mesh_terms: D001769:Blood; D001808:Blood Vessels; D060328:Magnetic Phenomena; D008962:Models, Theoretical; D053758:Nanoparticles; D016062:Porosity
keywords: Homotopy perturbation method (hpm); Magnetic field; Non-Newtonian nanofluid; Porous blood vessels