Mathematical Modeling of Micropolar Blood Flow in a Stenosed Artery Under the Body Acceleration and Magnetic Field

Subject Areas : International Journal of Industrial Mathematics

AR. Haghighi ¹ , N. Aliashrafi ² , M. Kiyasatfar ³

1 - epartment of Mathematical, Technical and Vocational University, Tehran, Iran.
2 - Department of Mathematics, Urmia University of Thechnology, Urmia, Iran.
3 - Faculty of Engineering, Urmia University, Urmia, Iran.

Received: 2018-09-21 Accepted : 2018-11-28 Published : 2019-01-01

Keywords: Micropolar fluid, Crank- Nicolson method, Magnetic field, Stenosed artery, Body acceleration,

Abstract :

Blood flow is modeled as non-Newtonian micropolar fluid. The non-linear governing equations of continuum and momentum in the cylindrical coordinate are being discretized using a finite difference approach and have been solved iteratively ,through Crank-Nicolson method. The blood velocity distribution, volumetric flow rate and Resistance to blood flow at the stenosis throat are computed for various values of angle of tapering, amplitudes of body acceleration and Hartman number.