Modelling Blood Flow through a Sclerotic Artery and the Effect of Thermal Heat on Cholesterol Concentration in the Presence of a Magnetic Field

Abstract

Blood flow through a sclerotic artery and the effect of thermal heat on cholesterol concentration in the presence of a magnetic field are modelled using mathematical models which represent the blood momentum coupled with buoyancy due to temperature, cholesterol concentration, porosity of the medium and magnetic field effect. The study involved the formulation of the geometry of atherosclerosis at a specific location with sclerosis over time in the arterial channel. The system of equations was solved using the Laplace method, where the blood velocity, cholesterol concentration and temperature profile were obtained with governing parameters such as magnetic field, Schmidt number, Soret number, Prandtl number, radiation parameter, chemical parameter, and oscillatory frequency, respectively. The result revealed that the blood velocity increases for different units of increase in Soret number, radiation parameter, and porosity parameter, while the velocity decreases for different values of solutal Grashof number, Schmidt number, Prandtl number, and magnetic field parameter. Furthermore, the cholesterol concentration decreases with an increase in Soret number, Schmidt number, and Prandtl number, respectively. The study also revealed that an increase in Prandtl number, radiation parameter, and oscillatory frequency parameter decreases the blood temperature.