Numerical Simulation of Blood Flow in a Vessel by Using COMSOL Multiphysics® Software
S. F. Salem *
Department of Optics and Biophotonics, Saratov State University, Saratov 410012, Russia and Department of Physics, Faculty of Science, Benha University, Egypt.
V. V. Tuchin
Department of Optics and Biophotonics, Saratov State University, Saratov 410012, Russia, Interdisciplinary Laboratory of Biophotonics, Tomsk State University, Tomsk 634050, Russia, Laboratory of Molecular Imaging, Bach Institute of Biochemistry, Research Center of Biotechnology of the Russian Academy of Sciences, Moscow 119071, Russia and Institute of Precision Mechanics and Control of the Russian Academy of Sciences, Saratov 410028, Russia.
*Author to whom correspondence should be addressed.
Abstract
Dynamics of the blood flow play an important role in the development and treatment of cardiovascular diseases. In recent decades, blood flow simulation has been widely used to better understand the symptomatic spectrum of different diseases, in order to improve existing or develop new therapeutic techniques. Numerical simulation for biomagnetic fluid (such as blood) flow through a tube with rectangular cross section under the influence of magnetic field is studied in this work. Blood considered as a magnetic and incompressible fluid. The magnetic field effects on the blood stream in a tube are created by a permanent magnet outside the tube. The equations of motion which describe the flow is governed by the combination of magnetic equations for permanent magnet and Navier-Stokes equation for fluid (blood) were solved numerically by using COMSOL Multiphysics® Modeling Software.
Keywords: Magnetism, Newtonian fluid, non-Newtonian fluid, permanent magnet, computational modeling