Magnetic field effect on a fractionalized blood flow model in the presence of magnetic particles and thermal radiations

• Published in: Chaos, solitons and fractals solitons and fractals, 2020-02, Vol.131, p.109540, Article 109540
• Main Authors: Tabi, C.B., Ndjawa, P.A.Y., Motsumi, T.G., Bansi, C.D.K., Kofané, T.C.
• Format: Article
• Language: English
• Subjects: Fractional derivatives; Magnetic field; Magnetic particles; Magnetohydrodynamics
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2019.109540

•Pulsatile blood flow in arteries, in the presence of magnetic field and magnetic particles, is addressed via fractional-derivative equations.•Solutions for the particle and blood velocities, and blood temperature distribution, are obtained using conjointly the Laplace and Hankel transformation methods.•The applied magnetic field reduces the velocities of the fluid and particles, which remarkably increases the temperature of blood.•The fractional parameter monitors the increase in blood temperature, and efficiently monitors blood and particle velocities. The presence of magnetic particles is considered in a magneto-hydrodynamic blood flow through a circular cylinder. The fluid inside the tube is acted by an oscillating pressure gradient and an external constant magnetic field. The blood temperature is assumed to change with the blood and particle velocities, and the whole study is based on a mathematical model that includes Caputo fractional-order derivatives. Solutions for the particle and blood velocities, and blood temperature distribution, are obtained via the combination of the Laplace and Hankel transformation methods. Effects of the fractional-order parameter and magnetic field are addressed using numerical simulations. Results show that the applied magnetic field reduces the velocities of the fluid and particles, which remarkably affects the blood temperature. This is obvious for short and long time intervals. However, under long time intervals, particles seem to be accelerated, but their velocity is suitably controlled by the fractional-order parameter which also monitors the increase in blood temperature.