Oscillatory Blood Flow and Embolitic Plaque Effect Through a Microchannel with Metabolic Heat and Magnetic Field

Abstract

An attempt was made to investigate an embolitic plaque effect on blood flow through a microchannel and the impact of the magnetic field, metabolic heat, and external heat source on improving blood flow. To address the aforementioned objectives, mathematical models were developed for blood flow and heat transfer with a source. The governing models were scaled using the dimensionless quantities, and the plaque area was derived from Dominguez [28], in which it was incorporated into the governing equations. The governing equations were further reduced to ordinary differential equations using the perturbation method, and the subsequent ordinary differential equations were solved using the method of undermined coefficients, and the constants obtained with the help of the matrix method using the boundary conditions. Furthermore, simulation was carried out to study the effect of the pertinent parameters using Wolfram Mathematica, a computational software. From the simulated results, it is seen that the entering parameters such as magnetic field parameter, the Reynolds number, Womersley number, oscillatory frequency parameter, and permeability parameter all affect the blood velocity and temperature profiles, showing significant impactful results that are useful to both mathematicians and clinicians.