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Application of caputo-fabrizio fractional order derivative (NFDt)in simulating the mhd flow of the third grade non-newtonian fluid in the porous artery

Uddin, Salah and Mohamad, M. and Sufahani, Suliadi and Kamardan, MGhazali and Mehmood, Obaid Ullah and Wahid, Fazli and Roslan, R. (2018) Application of caputo-fabrizio fractional order derivative (NFDt)in simulating the mhd flow of the third grade non-newtonian fluid in the porous artery. International Journal of Engineering & Technology, 7 (3.36). pp. 527-532. ISSN 2227524X

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Abstract

In this paper, the third grade non-Newtonian MHD blood flow in the porous arteries subjected to the periodic pressure gradient was studied using the Caputo-Fabrizio (NFDt ) time fractional order derivative. The time fractional model was solved by taking the Laplace and the finite Hankel transforms. Results were compared with those reported in the previous studies and good agreement was found. The Mathematica software was used to simulate the velocity profile and the Bessel functions with zero order and first order of first kind. The correlations between the flow velocity and the third grade non-Newtonian fluid parameter, the magnetic field and the porosity were negative. Nevertheless, the flow velocity increased with respect to the Womersely number.

Item Type: Article
Uncontrolled Keywords: Caputo-fabrizio fractional derivative; incompressible fluid; unsteady pulsatile.
Subjects: Q Science > Q Science (General)
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Mr Abdul Rahim Mat Radzuan
Date Deposited: 31 Oct 2019 02:39
Last Modified: 31 Oct 2019 02:39
URI: http://eprints.uthm.edu.my/id/eprint/11833
Statistic Details: View Download Statistic

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