Blood flow in stenosed arteries with radially variable viscosity, peripheral plasma layer thickness and magnetic field

Ponalagusamy, R.; Selvi, R. Tamil

doi:10.1007/s11012-013-9758-z

Cited by 45 publications

(13 citation statements)

References 42 publications

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“…Further, as → 0, the Hartmann number loses its properties and behaves like a normal blood flow without any magnetic field applied to it. We have concluded that the application of magnetic field reduces the speed of blood flow and that meets the results of Ponalagusamy and Tamil Selvi [25], also indicating that the wall shear stress increases when we increase the Hartmann number. The influence of catheter radius on the axial velocity is directly proportional as shown in Figure 9.…”

Section: Resultssupporting

confidence: 84%

“…The effect of the Hartmann number on the shear stress is shown in Figure 16. As observed from Figure 12, the shear stress at the wall is independent of the shape parameter as pointed out by Ponalagusamy and Tamil Selvi [25]. The variation of the shear stress at the wall as the tapered parameter increases is depicted in Figure 13.…”

Section: Resultssupporting

confidence: 53%

“…They used slip velocity at the wall in their analysis. Lately, Ponalagusamy [23,25] has developed mathematical models for blood flow through stenosed arterial segment, by taking a slip velocity condition at the constricted wall. Thus, it is very appropriate to consider slip velocity at the wall of the stenosed artery in blood flow modeling.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity

Bakhti¹,

Azrar

2016

Journal of Applied Mathematics

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Steady flow of a couple-stress fluid in constricted tapered artery has been studied under the effects of transverse magnetic field, moving catheter, and slip velocity. With the help of Bessel’s functions, analytic expressions for axial velocity, flow rate, impedance, and wall shear stress have been obtained. It is of interest to note that these solutions can be used for different types of fluid flow in tubes and not only the case of blood. The effects of various geometric parameters, the parameters arising out of the fluid considered and the magnetic field, are discussed by considering the slip velocity, the catheter velocity, and tapering angle. The study of the above model is very important as it has direct applications in the treatment of cardiovascular diseases.

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Section: Resultssupporting

confidence: 84%

Section: Resultssupporting

confidence: 53%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity

Bakhti¹,

Azrar

2016

Journal of Applied Mathematics

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“…The Present paper follows another objective which is to see if flow separation occurring downstream a partially-constricted passage can be controlled through the use of an external magnetic field. This idea has been investigated in several studies (Bandyopadhyay and Layek, 2011;Cramer and Pai , 1973;Esmaeili and Sadeghy, 2009;Gad-el-Hak and Bushnell, 1991;Midya et al, 2004) especially in biology and medicine (Barnothy, 1964;Vardanyan, 1973;Ponalagusamy and Tamil, 2013;Sinha and Misra, 2012;Ikbal et al, 2009;Mustapha et al, 2009;Tashtoush and Magableh, 2007;Tzirtzilakis, 2005) but the novelty of current study is the application of a different numerical method for simulation of the mentioned idea.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of MHD Fluid Flow inside Constricted Channels using Lattice Boltzmann Method

Ghahderijani

Esmaeili

Afrand

et al. 2017

JAFM

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In this study, the electrically conducting fluid flow inside a channel with local symmetric constrictions, in the presence of a uniform transverse magnetic field is investigated using Lattice Boltzmann Method (LBM). To simulate Magnetohydrodynamics (MHD) flow, the extended model of D2Q9 for MHD has been used. In this model, the magnetic induction equation is solved in a similar manner to hydrodynamic flow field which is easy for programming. This extended model has a capability of simultaneously solving both magnetic and hydrodynamic fields; so that, it is possible to simulate MHD flow for various magnetic Reynolds number (Rem). Moreover, the effects of Rem on the flow characteristics are investigated. It is observed that, an increase in Rem, while keeping the Hartman number (Ha) constant, can control the separation zone; furthermore, comparing to increasing Ha, it doesn't result in a significant pressure drop along the channel.

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“…Flow through a contraction or expansion is a classical problem in fluid dynamics and its numerical modelling has a lot of applications such as nozzles (Xiong et al 2015;Allamaprabhu et al 2016), diffuser (Rosa and Pinho 2006;Mariani et al 2010) and throttling valves (Jin et al 2013). Other applications, with both combined geometries, are encountered in Venturi devices (Dong et al 2012;Maqableh et al 2012) and hemodynamics (Ikbal et al 2009;Ponalagusamy and Selvi 2013;Mandal et al 2011). Regardless of the nature of the problem, when a fluid passes a contraction, it experiences a loss in pressure but an increase in kinetic energy.…”

Section: Introductionmentioning

confidence: 99%

Influence of Smooth Constriction on Microstructure Evolution during Fluid Flow through a Tube

Ferrer¹,

Mil-Martínez²,

Ortega³

et al. 2017

JAFM

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A numerical solution for axis-symmetrical fluid flow through a smooth constriction using the alternating direction implicit finite volume method and the fractional-step-method is presented. The wall is modelled with a smooth contraction mapped by a sinusoidal function and the flow is supposed to be axis-symmetric. A pressure boundary condition is set at the inlet and the resulting pressure gradient field drives fluid flow which is always in laminar regime. This study presents results for a non-Newtonian fluid using the Ostwaldde Waele constitutive model. Moreover, a transient network representing three different microstructures, immersed in the fluid, is evolved by viscous dissipation and an isothermal process is considered. The time dependent evolution of the transient network is represented by a set of kinetic equations with their respective forward and reversed constants. The numerical predictions show that, at a fixed Reynolds number, the viscous dissipation and the grade of structure restoration or breakage is influenced by constriction severity due to the energy generated during fluid flow. A 50% reduction in transversal section generates secondary flow downstream and vortex shedding, whereas a 10% and 25% constrictions presents a thin boundary layer and no secondary flow near the constricted wall.

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Blood flow in stenosed arteries with radially variable viscosity, peripheral plasma layer thickness and magnetic field

Cited by 45 publications

References 42 publications

Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity

Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity

Numerical Simulation of MHD Fluid Flow inside Constricted Channels using Lattice Boltzmann Method

Influence of Smooth Constriction on Microstructure Evolution during Fluid Flow through a Tube

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