| Issue |
Math. Model. Nat. Phenom.
Volume 13, Number 1, 2018
Theory and applications of fractional differentiation
|
|
|---|---|---|
| Article Number | 8 | |
| Number of page(s) | 12 | |
| DOI | https://doi.org/10.1051/mmnp/2018005 | |
| 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
1
Department of Mathematics, University of Management and Technology,
Lahore, Pakistan
2
Department of Mathematics, GC University,
Katchery Road,
Lahore
54000, Pakistan
* Corresponding author: bilal.riaz@umt.edu.pk
Received:
22
September
2017
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.