## The Effects of Magnetic Blood Flow in an Inclined Cylindrical Tube Using Caputo-Fabrizio Fractional Derivatives

CFD Letters

Volume 12, No. 1, January 2020, Pages 111-122

Dzuliana Fatin Jamil^{1}, Salah Uddin^{1}, M Ghazali Kamardan^{1}, Rozaini Roslan^{1,*}

**1** Department of Mathematics and Statistics, Fakulti Sains Gunaan danTeknologi, Universiti Tun Hussein Onn Malaysia, 84600 Panchor, Johor, Malaysia

**Corresponding author: rozaini@uthm.edu.my *

## KEYWORDS

Caputo Fabrizio derivative; blood flow; magnetohydrodynamics; cylindrical domain

## ABSTRACT

In this paper, the flow of blood through an inclined cylindrical tube subjected to an inclined magnetic field was analysed. The blood flow was considered under the influence of uniformly distributed magnetic particles. The Caputo-Fabrizio fractional derivative was used to study the flow of magnetic blood in an inclined cylindrical tube. The blood flow was driven by an oscillating pressure gradient and an external magnetic field. The analytical solutions were obtained by means of the Laplace and finite Hankel Transforms. The effects of fluid parameters such as Hartmann (Ha) and Reynolds (Re) numbers on the velocities of blood and magnetic particles were graphically presented using MATHCAD. The results show that magnetic field would reduce the velocities of blood and magnetic particles due to Lorentz forces. Meanwhile, the velocities of blood and magnetic particles increase with respect to Re. The velocity of magnetic particles is always lesser than that of blood regardless of the presence of magnetic field.

## CITE THIS ARTICLE

**MLA**

Dzuliana Fatin, Jamil, et al. “The Effects of Magnetic Blood Flow in an Inclined Cylindrical Tube Using Caputo-Fabrizio Fractional Derivatives.” *CFD Letters* 12.1 (2020): 111-122.

**APA**

Dzuliana Fatin, J., Salah, U., M Ghazali, K., & Rozaini, R.(2020). The Effects of Magnetic Blood Flow in an Inclined Cylindrical Tube Using Caputo-Fabrizio Fractional Derivatives. *CFD Letters*, 12(1), 111-122.

**Chicago**

Dzuliana Fatin Jamil, Salah Uddin, M Ghazali Kamardan and Rozaini Roslan.”The Effects of Magnetic Blood Flow in an Inclined Cylindrical Tube Using Caputo-Fabrizio Fractional Derivatives.” *CFD Letters.* 12, no. 1 (2020): 111-122.

**Harvard**

Dzuliana Fatin, J., Salah, U., M Ghazali, K., and Rozaini, R., 2020. The Effects of Magnetic Blood Flow in an Inclined Cylindrical Tube Using Caputo-Fabrizio Fractional Derivatives. *CFD Letters* 12(1), pp. 111-122.

**Vancouver**

Dzuliana Fatin J, Salah U, M Ghazali K, Rozaini R. The Effects of Magnetic Blood Flow in an Inclined Cylindrical Tube Using Caputo-Fabrizio Fractional Derivatives. CFD Letters. 2020;12(1): 111-122.

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