Lattice Boltzmann Approach of Magnetohydrodynamics in an Artery with Combined Stenosis and Aneurysm

The purpose of the study is to explore the magnetohydrodynamics (MHD) in an artery with combined stenosis and an aneurysm. Blood flow was computed using the lattice Boltzmann method (LBM), while velocity and magnetic field were simultaneously modeled. Blood is considered a non-Newtonian fluid and simulated with the Carreau–Yasuda model. The focus of this research is to incorporate MHD into blood flow models that include stenosis and aneurysm. The results reveal that the application of a magnetic field leads to a notable reduction in turbulence intensity and minimization of low wall shear stress (WSS) regions, both of which are associated with adverse vascular conditions. Additionally, the magnetic field contributes to more stable and streamlined flow patterns, potentially reducing the risk of plaque deposition and rupture. These findings suggest that MHD can play a therapeutic role in vascular flow regulation. Modeling MHD blood flow in non-regular geometries using LBM is shown to be accurate and effective. This work contributes to the knowledge about cardiovascular disorders which can be translated into new therapies.