Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field

Padma, R.; Ponalagusamy, R.; Selvi, R. Tamil

doi:10.1016/j.amc.2019.05.024

Cited by 17 publications

(9 citation statements)

References 50 publications

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“…The impact of various fluid parameters on the fluid velocity u(r,t) versus radial coordinate r has been discussed graphically in Figure 3 to Figure 6. The following parametric values for numerical computation have been estimated based on the physical values provided in Padma et al, [18][19] as follows: us=1.0, t=1.0. However, to characterize the results of present study, wide spectrum values of parameters had been used as β=0.1,1.0,3.0; t=0.1,2.0,4.0; us=0.1,0.2,0.3.…”

Section: Resultsmentioning

confidence: 99%

“…where u * is the velocity component along z-axis, µ is the dynamic viscosity of fluid, β is the non-Newtonian Casson parameter, ρ is the density of fluid, ν is the kinematic viscosity of fluid. Introducing the following dimensionless variables [18][19][20] (4) and substitute Eq. (3) into Eq.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Then, the problem extended by Shah et al, [17] with the additional of time fractional derivative model. Next, Padma et al, [18][19] discussed the effects of slip velocity and without slip velocity for the Jeffrey fluid flow. However, researchers not yet solved the problem related with the Casson fluid model.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analytical Solution of Unsteady Casson Fluid Flow Through a Vertical Cylinder with Slip Velocity Effect

Azmi

Mohamad

Jiann

et al. 2021

ARFMTS

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Casson fluid is a non-Newtonian fluid with its unique fluid behaviour because it behaves like an elastic solid or liquid at a certain condition. Recently, there are several studies on unsteady Casson fluid flow through a cylindrical tube have been done by some researchers because it is related with the real-life applications such as blood flow in vessel tube, chemical and oil flow in pipelines and others. Therefore, the main purpose of the present study is to obtain analytical solutions for unsteady flow of Casson fluid pass through a cylinder with slip velocity effect at the boundary condition. Dimensional governing equations are converted into dimensionless forms by using the appropriate dimensionless variables. Dimensionless parameters are obtained through dimensionless process such as Casson fluid parameters. Then, the dimensionless equations of velocity with the associated initial and boundary conditions are solved by using Laplace transform with respect to time variable and finite Hankel transform of zero order with respect to the radial coordinate. Analytical solutions of velocity profile are obtained. The obtained analytical result for velocity is plotted graphically by using Maple software. Based on the obtained result, it can be observed that increasing in Casson parameter, time and slip velocity will lead to increment in fluid velocity. Lastly, Newtonian fluid velocity is uniform from the boundary to the center of cylinder while Casson fluid velocity is decreased when approaching to the center of cylinder. The present result is validated when the obtained analytical solution of velocity is compared with published result and found in a good agreement.

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Section: Resultsmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

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Analytical Solution of Unsteady Casson Fluid Flow Through a Vertical Cylinder with Slip Velocity Effect

Azmi

Mohamad

Jiann

et al. 2021

ARFMTS

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“…Slip velocity does exist in practical applications like polymer's melting, artificial heart valves and blood flow in blood arteries [27,28]. Padma et al, [29,30] simulate blood flow in stenosed arteries by using the Jeffrey fluid model and taking into account the slip and no-slip effects. They observed that fluid velocity with slip is higher than the noslip effect.…”

Section: Introductionmentioning

confidence: 99%

Free Convection Caputo-Fabrizio Casson Blood Flow in the Cylinder with Slip Velocity

Azmi

Mohamad

Jiann

et al. 2023

CFDL

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Recently, fluid with fractional-order derivative model attracted many researchers to further study compared with the classical fluid mode since it is more precise and realistic. To imitate the applications of blood flow in narrow arteries, researchers focused on the fractional Casson fluid flow in the cylinder. However, most researchers solved the problems numerically and without considering the slip effect at the boundary. Thus, obtaining solutions analytically to the unsteady fractional Casson fluid flow in the slip cylinder with free convection is the goal of this study. The Caputo-Fabrizio fractional derivative approach is utilized to model this problem. By joining the approach of the Laplace transform and finite Hankel transform, the fractional governing equations are solved, and analytical solutions to the velocity and temperature profiles are gained. The fluid velocity rises as the slip velocity and Grashof number increase and it declines with the increment of the Casson parameter and Prandtl number. Increasing the fractional parameter will result in an increase in fluid velocity and temperature for a large time interval. The slip velocity effect influenced fluid flow, especially at the cylinder’s wall. These findings are beneficial to explore the more fractional-order derivative model and for studying the problems in biomedical engineering.

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“…Over the past few decades, an impressive number of comprehensive theoretical and experimental investigations related to blood flow in arteries in the presence of stenosis has been conducted with various methodologies [4]. Padma et al [5], presented a mathematical model for blood flow in a diseased mild stenotic artery. The numerical simulations [6][7][8][9] of arterial blood flow have also assumed great importance due to their wide range of clinical applications and have utilized many different computational methods, including finite differences, finite elements, immersed boundary methods, finite volume solvers, molecular dynamics and smoothed particle hydrodynamics (SPH).…”

Section: Introductionmentioning

confidence: 99%

Micropolar pulsatile blood flow conveying nanoparticles in a stenotic tapered artery: NON-Newtonian pharmacodynamic simulation

Vasu

Dubey

Bég

et al. 2020

Computers in Biology and Medicine

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Two-dimensional rheological laminar hemodynamics through a diseased tapered artery with a mild stenosis present is simulated theoretically and computationally. The effect of different metallic nanoparticles homogeneously suspended in the blood is considered, motivated by drug delivery (pharmacology) applications. The Eringen micropolar model has been deployed for hemorheological characteristics in the whole arterial region. The conservation equations for mass, linear momentum, angular momentum (micro-rotation), and energy and nanoparticle species are normalized by employing suitable non-dimensional variables. The transformed equations are solved numerically subject to physically appropriate boundary conditions using the finite element method with the variational formulation scheme available in the FreeFEM++ code. A good correlation is achieved between the FreeFEM++ computations and existing results. The effect of selected parameters (taper angle, Prandtl number, Womersley parameter, pulsatile constants, and volumetric concentration) on velocity, temperature, and microrotational (Eringen angular) velocity has been calculated for a stenosed arterial segment. Wall shear stress, volumetric flow rate, and hemodynamic impedance of blood flow are also computed. Colour contours and graphs are employed to visualize the simulated blood flow characteristics. It is observed that by increasing Prandtl number (Pr), the micro-rotational velocity decreases i.e., microelement (blood cell) spin is suppressed. Wall shear stress decreases with the increment in pulsatile parameters (B and e), whereas linear velocity increases with a decrement in these parameters. Furthermore, the velocity decreases in the tapered region with elevation in the Womersley parameter (α). The simulations are relevant to transport phenomena in pharmacology and nano-drug targeted delivery in hematology.

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Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field

Cited by 17 publications

References 50 publications

Analytical Solution of Unsteady Casson Fluid Flow Through a Vertical Cylinder with Slip Velocity Effect

Analytical Solution of Unsteady Casson Fluid Flow Through a Vertical Cylinder with Slip Velocity Effect

Free Convection Caputo-Fabrizio Casson Blood Flow in the Cylinder with Slip Velocity

Micropolar pulsatile blood flow conveying nanoparticles in a stenotic tapered artery: NON-Newtonian pharmacodynamic simulation

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