Math. Model. Nat. Phenom.
Volume 13, Number 1, 2018
Theory and applications of fractional differentiation
|Number of page(s)||12|
|Published online||26 February 2018|
Exact solutions for the blood flow through a circular tube under the influence of a magnetic field using fractional Caputo-Fabrizio derivatives
Department of Mathematics, University of Management and Technology,
2 Department of Mathematics, GC University, Katchery Road, Lahore 54000, Pakistan
* Corresponding author: firstname.lastname@example.org
Accepted: 23 October 2017
In this work, we study the flow of both blood and magnetic particles using Caputo-Fabrizio fractional derivative model approach. The fluid flow through a circular cylinder is influenced by an external magnetic field which is perpendicular to the circular tube and an oscillating pressure gradient. Integral transforms are used to find solutions for the blood and magnetic particle velocities. Comparison of profiles of velocities for different values of α, the impact of physical variables on the dynamics of fluid and magnetic parameters are highlighted graphically.
Mathematics Subject Classification: 58F15 / 58F17 / 53C35
Key words: Bio fluid / transverse magnetic field / Caputo-Fabrizio / fractional derivative / integral transforms
© EDP Sciences 2018
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