Faculté des Sciences

Research articles
Fractional blood flow in oscillatory arteries with thermal radiation and magnetic field effects

C.D.K. Bansi a, C.B. Tabi a,b,⇑, T.G. Motsumi c, A. Mohamadou d

a Laboratoire de Biophysique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun
b Botswana International University of Science and Technology, P/Bag 16, Palapye, Botswana
c Department of Mathematics, Faculty of Science, University of Botswana, P/Bag 22, Gaborone, Botswana
d Département de Physique, Faculté des Sciences, Université de Maroua, P.O. Box 46, Maroua, Cameroun

a b s t r a c t
A fractional model is proposed to study the effect of heat transfer and magnetic field on the blood flowing
inside oscillatory arteries. The flow is due to periodic pressure gradient and the fractional model equations
include body acceleration. The proposed velocity and temperature distribution equations are solved
using the Laplace and Hankel transforms. The effect of the fluid parameters such as the Reynolds number
(Re), the magnetic parameter (M) and the radiation parameter (N) is studied graphically with changing
the fractional-order parameter. It is found that the fractional derivative is a valuable tool to control both
the temperature and velocity of blood when flow parameters change under treatment, for example.
Besides, this work highlights the fact that in the presence of strong magnetic field, blood velocity and
temperature reduce. A reversed effect is observed where the applied thermal radiation increase; the
velocity and temperature of blood increase. However, the temperature remains high around the artery
centerline, which is appropriate during treatment to avoid tissues damage.

2018 Elsevier B.V. All rights reserved

Journal of Magnetism and Magnetic Materials 456 (2018) 38–45