Magnetohydrodynamic Stenosed Blood Flow Through Microcirculation with Permeable Walls

Abstract

Blood flow through the composite stenosis of a micro vessel with permeable walls in the presence of an external magnetic field was examined. Endothelial walls of blood vessels are considered to be highly permeable in nature. Thus in the study of such flows, wall permeability must be accounted for. Blood flow made up of a particle-fluid suspension in the core surrounded by a plasma layer was utilized. The effects of introducing as well as increasing wall permeability and the magnetic field were investigated by varying the Darcy number and Hartmann number respectively. Plots were presented to depict the effect of various parameters on the velocity of blood and flow impedance as well as the shear stress on both the vessel wall and at the stenosis throat. The effects of varying hematocrit and peripheral layer thickness were also discussed. These flow characteristics were found to be lower in this model than in its corresponding one layer model. Knowledge gained from this examination of blood flow can aid in understanding and diagnosing cardiovascular diseases in patients especially in cases where a magnetic field is present.