Mathematical Examination of MHD Slip Oscillatory Blood Flow Through an Artery in the Presence of a Magnetic Field

Abstract

In this study, we investigated the mathematical examination of MHD slip oscillatory blood flow through an artery in the presence of a magnetic field. The process involves the development of dimensional mathematical models representing the flow in the form of a partial differential equation and scaling the model using some quantities where the governing models were made dimensionless and some pertinent parameters, such as the Hartman number and Womersley number, were obtained. The dimensionless governing model was perturbed and reduced to ODE. Method: The perturbed ODE was solved using the Laplace Method (LM), where the function representing the flow was obtained, and we performed numerical simulation using Wolfram Mathematica, version 12. The results reveal that the Hartman number and Womersley numbers influence the blood flow, flow rate, and shear stress, respectively. In conclusion, we have been able to derive a mathematical model that represents the problem, solve it analytically using the Laplace method, and carry out numerical simulation.