Chapter 4 - Electromagnetic Casson blood flow in multistenosed porous artery using Caputo–Fabrizio fractional derivatives

Abstract

This paper investigates the blood flow in multistenosed porous artery under the influence of external magnetic and electric fields. The blood is modeled using the non-Newtonian Casson fluid model. The governing fractional differential equations are expressed by using the fractional Caputo–Fabrizio derivative without singular kernel. The exact solutions are obtained by using the Laplace and finite Hankel transforms for both blood and magnetic particle velocities. These velocities are graphically presented and analyzed. The velocities increase with respect to the Reynolds number, the Casson parameter, and the electric field. However, the velocity decreases at increasing Hartmann number and porosity. These findings might be beneficial for atherosclerosis therapy.