Eur. Phys. J. Plus (2017) 132: 440
https://doi.org/10.1140/epjp/i2017-11685-3

Regular Article

Study of blood flow inside the stenosis vessel under the effect of solenoid magnetic field using ferrohydrodynamics principles

Urmia University of Technology (UUT), P.O. Box: 57166-419, Urmia, Iran

^* e-mail: syekani@yahoo.com

Received: 21 October 2016
Accepted: 3 September 2017
Published online: 26 October 2017

Abstract

In this paper, biomagnetic blood flow in the stenosis vessel under the effect of the solenoid magnetic field is studied using the ferrohydrodynamics (FHD) model. The parabolic profile is considered at an inlet of the axisymmetric stenosis vessel. Blood is modeled as electrically non-conducting, Newtonian and homogeneous fluid. Finite volume and the SIMPLE (Semi-Implicit Method for Pressure Linked Equations) algorithm are utilized to discretize governing equations. The investigation is studied at different magnetic numbers (, 328, 1640 and 3280) and the number of the coil loops (three, five and nine loops). Results indicate an increase in heat transfer, wall shear stress and energy loss (pressure drop) with an increment in the magnetic number (ratio of Kelvin force to dynamic pressure force), arising from the FHD, and the number of solenoid loops. Furthermore, the flow pattern is affected by the magnetic field, and the temperature of blood can be decreased up to under the effect of the solenoid magnetic field with nine loops and reference magnetic field () of 2 tesla.