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J Alfredo Soto Á,

University of Guanajuato, Mexico

Title: Blood flow analysis in presence of static magnetic field of 3.0 T

Biography

Biography: J Alfredo Soto Á,

Abstract

Interactions with a high intensity static magnetic field (0.2 T to 3.0 T) are widespread practice in a Magnetic Resonance Imaging study, hence, it is important to know the side effects associated with such exposures. In this work, a mathematical model and its numerical treatment is presented for a physical system that describes an artery segment through which oxygenated blood flows while being exposed to a 3.0 T magnetic field. The model uses the thermodynamics theory to propose an isothermal system and the generated energy of the magnetic field. An expression for the new pressure is derived to be coupled with the Navier-Stokes equations. Given the geometry and symmetry of the physical system under analysis, as a first approximation, a rectangular cavity is used for the numerical solution of the governing equations using the finite difference method. The code of the numerical method for the rectangular cavity was validated before being coupled to the raised problem. Results suggest that given the changes established by the presence of the magnetic field in the thermodynamic system, there are modifications in the speed profile as also in the blood flow.

Recent Publications

1. E E Tzirtzilakis (2005) A mathematical model for blood flow in magnetic field. Physics of Fluids 17:077103-1.

2.C T Phua and G Lissorgues (2009) Modeling of pulsatile blood flow in a weak magnetic field. World Academic Science, Engineering and Technology 54:73-76.

3.N Rusli, E H Kasiman, A K B Hong, A Y M Yassin and N Amin (2011) Numerical computation of a two-dimensional Navier-Stokes equation using an improved finite difference method. Matematika 27(1):1-9.

4. N Rusli, A B H Kueh and E H Kasiman (2011) Staggered grid computation of fluid flow with an improved discretization of finite differencing, ICIEIS, Part III, Communication in Computer and Information System 253:82-94.