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

Journal article

Authors/Editors

Tabi, Condrad

Research Areas

No matching items found.

Publication Details

Author list: Bansi CDK, Tabi CB, Motsumi TG, Mohamadou A

Publisher: Elsevier

Place: AMSTERDAM

Publication year: 2018

Journal: Journal of Magnetism and Magnetic Materials (0304-8853)

Journal acronym: J MAGN MAGN MATER

Volume number: 456

Start page: 38

End page: 45

Number of pages: 8

ISSN: 0304-8853

eISSN: 1873-4766

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

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. (C) 2018 Elsevier B.V. All rights reserved.

Keywords

Blood flow, Fractional derivatives, Magnetic field, Magnetohydrodynamics, Thermal radiations

Documents