Computational model on pulsatile flow of blood through a tapered arterial stenosis with radially variable viscosity and magnetic field

Abstract

An unsteady two-fluid model of blood flow through a tapered arterial stenosis with variable viscosity in the presence of variable magnetic field has been analysed in the present paper. In this article, blood in the core region is assumed to obey the law of Jeffrey fluid and plasma in the peripheral layer is assumed to be Newtonian. The values for velocity, wall shear stress, flow rate and flow resistance are numerically computed by employing finite-difference method in solving the governing equations. A comparison study between the velocity profiles obtained by the present study and the experimental data represented graphically shows that that the rheology of blood obeys the law of Jeffrey fluid rather than that of Newtonian fluid. The effects of parameters such as taper angle, radially variable viscosity, hematocrit, Jeffrey parameter, magnetic field and plasma layer thickness on physiologically important parameters such as wall shear stress distribution and flow resistance have been investigated. The results in the case of radially variable magnetic field and constant magnetic field are compared to observe the effect of magnetic field in driving the blood flow. It is observed that increase in hematocrit increases the wall shear stress. The values of wall shear stress and flow resistance are obtained at various time instances and compared. It is pertinent to note that the magnitudes of flow resistance are higher in the case of converging tapered than non-tapered and diverging tapered artery.

Impact of temperature and concentration dispersion on the physiology of blood nanofluid: links to atherosclerosis

“…D B is Brownian diffusion coefficient and D T is thermophoretic diffusion coefficient. The governing equations (7)- (11) in component form are as follows:…”

“…Reddy et al [9] modelled the blood as a couple stress fluid and concluded that it is a couple stress fluid having high impedance as compared with the classical Newtonian fluid. Some authors [10,11] theoretically studied the blood rheology on different kinds of obstructions like cerebral aneurysm and coronary artery disease (e.g., stenotic), respectively.…”

Computational fluid dynamic simulation of two-fluid non-Newtonian nanohemodynamics through a diseased artery with a stenosis and aneurysm

“…They observed that the blood rheology exerts a prominent role in the performance of the coil which is aimed at reducing fluid loading of the blood vessel and delaying subsequent wall deformation. Priyadharshini and Ponalagusamy [12] used a finite difference computational method to simulate time-dependent magneto-hemodynamics in a tapered arterial stenosis with variable viscosity, considering blood in the core region as viscoelastic Jeffrey fluid and plasma in the peripheral layer as Newtonian. They confirmed that the results with blood rheology included better correlate with experimental data.…”

A four-layered model for flow of non-Newtonian fluid in an artery with mild stenosis

“…In the light of their experiments, it is more appropriate to represent the blood flow through narrow arteries by a two-layered model instead of the one-layered model. Shukla et al [17], Chaturani and Ponnalagarsamy [18], and Priyadharshini and Ponalagusamy [19] have discussed two-layered models in which the peripheral layer is *For correspondence a Newtonian fluid, and the core region is a non-Newtonian fluid (blood). Nallapu and Radhakrishnamacharya [20] have dealt with the problem of two-layered model of blood flow in small diameter tubes, where the core region consists of a Jeffrey fluid with constant viscosity and Newtonian fluid in the peripheral zone of plasma.…”

“…Ponalagusamy and Tamil Selvi [23] analysed the two-fluid model of blood flow in stenotic arteries in which the fluid in both core and plasma layer is considered to obey the law of Newtonian fluid and considering the core viscosity of blood as a radial coordinate dependent. Priyadharshini and Ponalagusamy [19] examined a two-layered model of blood flow in an unsteady state where blood in the central core region is assumed to be a non-Newtonian (Jeffrey) fluid and a Newtonian fluid in the peripheral plasma layer by taking core viscosity as variable and applying a radially variable external magnetic field. Ponalagusamy [24] developed a two-layered model concerning measurable flow variables for flow of blood in a stenosed artery and derived formulas for computing axially variable plasma layer thickness, variable core fluid viscosity and axially variable slip velocity.…”