The Effects of Magnetic Casson Blood Flow in an Inclined Multi-stenosed Artery by using Caputo-Fabrizio Fractional Derivatives

Jamil, Dzuliana Fatin; Uddin, Salah; Roslan, Rozaini

doi:10.37934/arms.72.1.1530

Cited by 8 publications

(10 citation statements)

References 22 publications

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“…A similar study was conducted by Maiti et al, [24], however instead of Caputo, the nonsingular kernel of Caputo-Fabrizio were considered. Other similar studies on fractional Casson fluid includes Abdullah et al, [25], Jamil et al, [26], Sene [27] and Reyaz et al, [28].…”

Section: Introductionmentioning

confidence: 85%

Analytical Solutions for Fractional Caputo-Fabrizio Casson Nanofluid on Riga Plate with Newtonian Heating

Reyaz

Qushairi

Jiann³

et al. 2022

ARASET

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Introduction of fractional derivatives to the mechanics of fluid flow is relatively new. Even though the exact geometrical representations of fractional derivatives on fluid mechanics have not been discovered, recent literatures have proven that it is a paradox that will be useful in the future. Meanwhile, Riga plates are actuators that is convenient for controlling the velocity of fluid flows. Widely used in the field of marine engineering, the properties of fluid flowing over Riga plates are worth investigating. Thus, the aim of this study is to investigate the analytical solutions of an unsteady incompressible Casson nanofluid flowing over a Riga plate with presence of Newtonian heating. Carboxymethyl Cellulose (CMC) water was used as a prime example of Casson fluid with Copper-Oxide (CuO) nanoparticles. Coupled with a non-Newtonian fluid, the Casson fluid, and the Caputo-Fabrizio fractional derivative, the analytical solutions obtained will be beneficial in the engineering world as a tool for validating experimental and numerical studies. Through this study, analytical solutions were obtained and the profiles of both velocity and temperature of fluid with variations in parameters were investigated. It is observed that variations in the fractional derivative parameter produces a spectrum of solutions that abides the initial and boundary conditions set. An amplification of the modified Hartmann number increases both the velocity and temperature profiles, while an amplification of the nanoparticle volume fraction decreases the velocity profile but increase the temperature profile.

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Section: Introductionmentioning

confidence: 85%

Analytical Solutions for Fractional Caputo-Fabrizio Casson Nanofluid on Riga Plate with Newtonian Heating

Reyaz

Qushairi

Jiann³

et al. 2022

ARASET

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“…12 Jamil et al described the effects of magnetic Casson blood flow in an inclined multi-stenosed artery by using Caputo-Fabrizio fractional derivative. 13…”

Section: Introductionmentioning

confidence: 99%

Entropy and stability analysis on blood flow with nanoparticles through a stenosed artery having permeable walls

et al. 2022

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In this research, the electro-osmotic effects are highlighted for a blood-based hybrid nanofluid flow across an artery infected with multiple stenosis. The artery has permeable walls together with slip boundary effects. The slip and permeable boundary conditions model the more realistic blood flow problems. The governing equations of the problem are converted into non-dimensional form by introducing adequate dimensionless variables and acquired the exact solutions. The detailed study of heat transfer is given by Joule heating and viscous dissipation effects. The disorder of fluid flow is investigated by the mathematical study of entropy generation. Analytically attained solutions are examined graphically for both symmetric and non-symmetric shapes of stenosis. Streamlines are analyzed for varying values of flow rate Q and electro-osmotic parameter m. The flow velocity has smallest values on the axis of channel and gets higher value near the boundary walls. The temperature profile delineates opposite behavior to the velocity, and it is parabolic in nature. The velocity reduces towards the non-uniform stenosis except for electroosmotic parameter m. The temperature has larger magnitude in the case of anti-symmetric stenosis. Moreover, the stability of velocity solution is also analyzed.

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“…A simple theory that models the flow of a magnetohydrodynamic blood through pump can be found in Roberts [4], Korchevskii, and Marochnik [5] while an explicit scientific report on the influence of a magnetic field on blood flow, flow of blood in branched arteries, blood flow with periodic body acceleration, flow of blood in the collapsed of veins, impact of slip velocity factor on the flow of blood in the microcirculation, combined effects of curved boundary on the temperature distribution, metabolic heat production, and blood flow has been deliberated upon by [6][7][8][9][10][11]. Tzirtzilakis [12] investigated the mathematical model for blood flow in the presence of the magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress

Shah

Al-Zubaidi

Saleem

2021

Advances in Mathematical Physics

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The effects of pulsatile pressure gradient in the presence of a transverse magnetic field on unsteady blood flow through an inclined tapered cylindrical tube of porous medium are discussed in this article. The fractional calculus technique is used to provide a mathematical model of blood flow with fractional derivatives. The solution of the governing equations is found using integral transformations (Laplace and finite Hankel transforms). For the semianalytical solution, the inverse Laplace transform is found by means of Stehfest’s and Tzou’s algorithms. The numerical calculations were performed by using Mathcad software. The flow is significantly affected by Hartmann number, inclination angle, fractional parameter, permeability parameter, and pulsatile pressure gradient frequency, according to the findings. It is deduced that there exists a significant difference in the velocity of the flow at higher time when the magnitude of Reynolds number is small and large.

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The Effects of Magnetic Casson Blood Flow in an Inclined Multi-stenosed Artery by using Caputo-Fabrizio Fractional Derivatives

Cited by 8 publications

References 22 publications

Analytical Solutions for Fractional Caputo-Fabrizio Casson Nanofluid on Riga Plate with Newtonian Heating

Analytical Solutions for Fractional Caputo-Fabrizio Casson Nanofluid on Riga Plate with Newtonian Heating

Entropy and stability analysis on blood flow with nanoparticles through a stenosed artery having permeable walls

Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress

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