Analysis of MHD slip blood flow through a constricted artery filled with a porous medium of variable permeability: Applications in Biomedical Engineering

Abstract

The primary goal of this research is to investigate the impact of partial slip and variable permeability on the dynamics of blood flow in a constricted artery filled with a porous medium, and to assess the influence of an externally applied magnetic field on the blood flow. The blood is modeled as an incompressible Newtonian fluid. By employing a stream function formulation, the coupled nonlinear flow equations are transformed into a single dimensionless equation, which is solved using the Adomian decomposition method (ADM). Key parameters such as the slip parameter, permeability parameter, Hartmann number, and Reynolds number are examined in relation to their effects on the flow field. The results reveal significant changes in blood flow dynamics within the stenosed section of the artery, particularly due to the incorporation of variable permeability in the porous medium and the partial slip condition along the arterial wall in the presence of the magnetic field. Notable outcomes include the escalation in axial velocity with increasing permeability and slip, as well as the formation of flow separation and recirculation zones in regions of high stenosis height. Additionally, the magnetic field was found to suppress axial velocity while increasing shear stress, particularly near the throat of the stenosis. These findings provide deeper insights into how variable permeability and slip conditions influence blood flow in clinical scenarios such as magnetic resonance imaging (MRI). Importantly, the results in specific cases align with established findings from existing literature, validating the approach and offering new contributions to the understanding of MHD flow in constricted arteries.

Keywords

• Constricted artery
• MHD
• Blood flow
• Porous medium
• Variable permeability
• Partial slip