Effects of slip and magnetic field on the pulsatile flow of a Jeffrey fluid with magnetic nanoparticles in a stenosed artery

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

doi:10.1140/epjp/i2019-12538-9

Cited by 16 publications

(9 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

View full text Add to dashboard Cite

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.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

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

Azmi

Mohamad

Jiann

et al. 2021

ARFMTS

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…In most research studies blood is treated as an incompressible fluid and no-slip boundary conditions are applied. In several studies wall slip has been applied to blood [1,2,10,17,23,24,27]. Furthermore, Particle-based methods have often been used to study the blood flow application [1,2,7,35], that have compressibility effects built-in.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Study of Compressible Flow through Aneurysms

Jumani¹

2021

Preprint

View full text Add to dashboard Cite

The goal of this research is to analyze the effect of blood flow through expansions by using the KarmanPohlhausen method. The Karman-Pohlhausen method has previously been used in several research works to analyze the flow through constrictions. In this Thesis, the effect of different flow parameters (Reynolds number, compressibility, and slip) on pressure, pressure gradient, centerline velocity, and on wall shear stress are analyzed. Our results show that the pressure gradient curves are most affected by increasing Reynolds number and compressibility, as well as for smaller slip values (ws0). Furthermore, the scaled centerline velocity was least affected by varying Reynolds and Mach numbers, whereas changes are observed in centerline velocity curves for different slip values. The wall shear stress was essentially unchanged by the Reynolds numbers, compressibility range and slip values considered in this Thesis.

show abstract

Effects of slip and magnetic field on the pulsatile flow of a Jeffrey fluid with magnetic nanoparticles in a stenosed artery

Cited by 16 publications

References 37 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

Theoretical Study of Compressible Flow through Aneurysms

Contact Info

Product

Resources

About