Analysis of non-Newtonian magnetic Casson blood flow in an inclined stenosed artery using Caputo-Fabrizio fractional derivatives

The current investigation deals with the numerical simulation of cross-flow of non-Newtonian fluid. Flow dynamics are studied by considering a uniform channel bounded by porous walls. Transversely acting magnetic fields have also been taken into account on the two-dimensional flow of Tangent-Hyperbolic fluid.Skin friction is addressed by employing the lubrication effects on the porous channel. In addition to this, Fourier's law of conduction is incorporated to highlight the heating effects which attenuates the shear thickening posture of the fluid. Highly nonlinear and coupled differential equations are solved numerically by using the Runge-Kutta method with shooting technique. Thermal and momentum transport is simulated by generating the numerical MATLAB codes. Study reveals that slippery porous walls/channels can effectively be used in chemical and mechanical industries which deal with various kinds of highly viscous flows. Moreover, more energy is contributed by Peclet number and viscous heating parameter and improve the heat transfer rate.Nomenclature: 𝑀, Hartmann number; 𝛽, Slip parameter; 𝑚, Power-law index parameter; 𝑃𝑒, Peclet number; 𝐵𝑟, Viscous-heating parameter/ Brinkman number; 𝐾, Thermal conductivity; 𝑃, pressure-gradient parameter; T, Cauchy stress tensor; 𝜇 0 , Zero shear rate viscosity; 𝜇 ∞ , The infinite shear rate viscosity; 𝑅𝑒, Reynolds number; 𝜎, The electric conductivity; 𝐴 1 , Riviline-Erickson tensor; 𝑆, Extra stress tensor; 𝑇 0 , The temperature of the lower wall; 𝑇 ℎ , The temperature of the heated wall; 𝜌, The density of the fluid; 𝐶 𝑝 , Specific heat; 𝑣 0 , Suction velocity; 𝑇, Dimensionless temperature; Γ, The time constant; 𝐽, The current vector; 𝐵, The uniform external magnetic field; 𝑡, Time

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“…Some important studies of MHD flows on non-Newtonian fluids are listed in the following refs. [43][44][45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

et al. 2021

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“…Alhadhrami et al [5] investigated the numerical simulation of flow and heat transport Casson fluid which is moving over the porous stretched sheet. Jamil et al [6] determined the significance of blood flow for magnetic Casson fluid inclined in stenosis artery. Ganesh and Sridhar [7] conducted the problem based on the magnetohydrodynamic Casson nanofluid which is passed on the extended surface with Darcy-Forcheimer and observing that the declination in temperature region is noted by producing the Casson fluid parameter.…”

Section: Introductionmentioning

confidence: 99%

Numerical computation of joule heating and chemical reaction for the radiated Casson fluid on the slender parabolic surface

Salahuddin,

Awais

2024

Z Angew Math Mech

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This work dealing to solve the numerical results of magnetohydrodynamic flow material (Casson fluid) moving over the slender parabolic surface with temperature dependent viscosity. To make the enhancement in the thermal and solutal fields, we have determined the impact of thermal radiation, viscous dissipation, joule heating, and chemical reaction on the considered flow material. Due to huge applications in coating processes and aerodynamic industries, the suction/Injection is assumed at the surface. With the help of assumed assumptions, the governing equations are obtained in partial differential equation forms, and these equations are translated into ordinary differential equations form by using the Levy‐Lee similarity transformations. The translated forms of ODE's are then numerically solved by using the Adams‐Milne (Predictor–Corrector) technique. The graphical and numerical findings are determined by producing the emerging parameters. The decrement in velocity is noted due to fluid parameter and suction coefficient whereas the enhancement happens due to natural convection. The numerical determination of physical quantities including, Nusselt number, Skin friction and Sherwood number are also examined here and compared the findings with two numerical techniques (Adam‐Milnes and Bvp4c method).

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“…An investigation into unsteady blood flow through a stationary cylinder, considering the MHD effect and porosity, was carried out by Maiti et al, [35], [36], [37], [38]. Following this, Jamil et al, [39]- [41] addressed a similar problem to that explored by [32] but within an inclined cylinder. In all of these studies, the modelling method used was the Caputo-Fabrizio fractional derivative.…”

Section: Introductionmentioning

confidence: 99%

The Role of Slip Velocity in Fractional MHD Casson Fluid Flow within Porous Cylinder

Wan Azmi,

Mohamad,

Jiann

et al. 2024

Mal. J. Fund. Appl. Sci.

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Numerous academics are intrigued by exploring the fractional Casson fluid model due to its enhanced precision compared to the traditional fluid model. However, many researchers have successfully tackled the analytical solution for the fractional fluid model while overlooking the impact of boundary slip. Hence, this study aims to tackle the challenge of describing the Casson fluid behaviour with fractional properties in a cylindrical domain, considering the influence of slip velocity at the boundaries. Furthermore, magnetohydrodynamics (MHD) had been introduced into the analysis and considered a porous medium resembling a blood clot or fatty plaque. The Caputo-Fabrizio fractional derivative is employed to establish the dimensionless governing equation. Subsequently, we solve it analytically using the Laplace transform in conjunction with finite Hankel transform techniques. A thorough examination follows the graphical presentation of the analytical solution in the context of relevant parameters. The findings illustrate those higher values of the Casson parameter, slip velocity parameter, Darcy number, and fractional parameter lead to an augmentation in fluid velocity. Conversely, an escalation in magnetic parameters causes a reduction in fluid velocity. These findings can be utilized to validate the accuracy of numerical results. The findings of this study hold considerable importance in enhancing our understanding of human blood flow, especially in scenarios where a velocity gradient occurs between blood particles and the stretching motion of arteries.

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Analysis of non-Newtonian magnetic Casson blood flow in an inclined stenosed artery using Caputo-Fabrizio fractional derivatives

Cited by 42 publications

References 45 publications

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

Numerical computation of joule heating and chemical reaction for the radiated Casson fluid on the slender parabolic surface

The Role of Slip Velocity in Fractional MHD Casson Fluid Flow within Porous Cylinder

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