Blood flow problem in the presence of magnetic particles through a circular cylinder using Caputo-Fabrizio fractional derivative

Uddin, Salah; Mohamad, Mahathir bin; Khalid, Karniza; Abdulhammed, Mohammed; Rusiman, Mohd Saifullah; Him, Norziha Che; Roslan, Rozaini

doi:10.1088/1742-6596/995/1/012007

Cited by 5 publications

(3 citation statements)

References 9 publications

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“…Ali et al [37] examined the magnetic flow of Walter's-B fluid by using the CF non-singular operator. Salah Uddin et al [38] investigated the CF model of blood flow with Ferro particles in cylindrical coordinates and their results were in agreement with the previously published works. Ali et al [39,40] studied the fractionalized model of blood flow having magnetic particles in cylindrical coordinates.…”

Section: Introductionsupporting

confidence: 85%

Two-Phase Flow of Blood with Magnetic Dusty Particles in Cylindrical Region A Caputo Fabrizio Fractional Model

Imitaz¹,

Aamina²,

Ali³

et al. 2021

Computers, Materials &Amp; Continua

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The present study is focused on the unsteady two-phase flow of blood in a cylindrical region. Blood is taken as a counter-example of Brinkman type fluid containing magnetic (dust) particles. The oscillating pressure gradient has been considered because for blood flow it is necessary to investigate in the form of a diastolic and systolic pressure. The transverse magnetic field has been applied externally to the cylindrical tube to study its impact on both fluids as well as particles. The system of derived governing equations based on Navier Stoke's, Maxwell and heat equations has been generalized using the well-known Caputo-Fabrizio (C-F) fractional derivative. The considered fractional model has been solved analytically using the joint Laplace and Hankel (L&H) transformations. The effect of various physical parameters such as fractional parameter, Gr, M and on blood and magnetic particles has been shown graphically using the Mathcad software. The fluid behaviour is thinner in fractional order as compared to the classical one.

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Section: Introductionsupporting

confidence: 85%

Two-Phase Flow of Blood with Magnetic Dusty Particles in Cylindrical Region A Caputo Fabrizio Fractional Model

Imitaz¹,

Aamina²,

Ali³

et al. 2021

Computers, Materials &Amp; Continua

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“…where (KN/ρ)(u p (r, t) − u(r, t)) indicates the force between particles and fluid. e momentum equation for magnetic particles is defined as [55] m zu p (r, t) zt � K u(r, t) − u p (r, t) . (…”

Section: Problem Formulationmentioning

confidence: 99%

Magnetohydrodynamic Blood Flow in a Cylindrical Tube with Magnetic Particles: A Time Fractional Model

Ali

Majeed

Imtiaz

2021

Mathematical Problems in Engineering

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The present work theoretically investigates the natural convection blood flow as a Brinkman-type fluid with uniformly distributed magnetic particles in a circular cylindrical tube with the applied external magnetic field. The classical model for the blood flow is generalized by using the definition of Caputo time-fractional derivative. The exact solutions are obtained by using the Laplace and Henkel transforms. Unlike the classical model, the obtained general results are expressed in the form of “Lorenzo and Hartley’s” and “Robotnov and Hartley’s” functions. Graphs are plotted to show the effects of different parameters on the blood flow. Furthermore, the velocity and temperature distributions are discussed in terms of memory. The effect of fractional parameter α for a long and short time has also been observed. It is noticed that blood velocity can be controlled using the fractional parameter. It is also found that, for τ > 0 , fluid and particles motion increased, and reverse behavior is observed for τ < 0 . It has been noticed that increasing values of particle mass parameter P m and magnetic parameter M slow down the motion of blood and magnetic particles. These results are helpful for effective drug delivery and regulating blood flow.

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“…The reduction in thermal boundary layer and momentum was observed [ 43 ] due to increased power-law index

. In the recent investigations [ [44] , [45] , [46] , [47] , [48] , [49] , [50] , [51] ] the fractional derivative approach is used without singular term to solve the fractional MHD fluid flow model in the cylindrical domain. Important findings conclude that fluid flow can be controlled by applying sufficient and strong magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Effect of natural heat convection on fractional MHD second-grade fluid in an infinite vertically oscillating cylinder with Hankel transform

Uddin¹,

Mehmood²,

Mohamad³

et al. 2023

Heliyon

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Blood flow problem in the presence of magnetic particles through a circular cylinder using Caputo-Fabrizio fractional derivative

Cited by 5 publications

References 9 publications

Two-Phase Flow of Blood with Magnetic Dusty Particles in Cylindrical Region A Caputo Fabrizio Fractional Model

Two-Phase Flow of Blood with Magnetic Dusty Particles in Cylindrical Region A Caputo Fabrizio Fractional Model

Magnetohydrodynamic Blood Flow in a Cylindrical Tube with Magnetic Particles: A Time Fractional Model

Effect of natural heat convection on fractional MHD second-grade fluid in an infinite vertically oscillating cylinder with Hankel transform

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