The Polar Fluid Model for Blood Flow through a Tapered Artery with Overlapping Stenosis: Effects of Catheter and Velocity Slip

Abstract

The blood flow through an overlapping clogged tapered artery in the presence of catheter is discussed. Since cholesterol deposition is resulting in the stenosis formation, velocity slip at the arterial wall is considered. The equations governing the fluid flow have been solved analytically under the assumption of the mild stenosis. The analysis with respect to various parameters arising out of fluid and geometry considered, on physiological parameters such as impedance and wall shear stress at the maximum height of the stenosis as well as across the entire length of the stenosis has been reported. A table summarizing the locations of extreme heights and the corresponding annular radii is provided. It is observed that the wall shear stress is the same at both the locations corresponding to the maximum height of the stenosis in case of nontapered artery while it varies in case of tapered artery. It is also observed that slip velocity and diverging tapered artery facilitate the fluid flow. Shear stress at the wall is increasing as micropolar parameter is decreasing and the trend is reversed in case of coupling number. The results obtained are validated by comparing them with the experimental and theoretical results.

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

“…Here, z C indicates the location on z-axis corresponding to the critical height of the overlapping stenosis; z L and z R correspond to the locations where maximum heights of the stenosis occur. The length of the arterial segment in the pre-stenotic region is represented as L 0 , L 1 depicts the length of the stenosis and the equation of varying annular radius is as given by Reddy and Srikanth [19]:…”

“…Srinivasacharya and Srikanth [18] studied the oscillatory flow of micro-polar fluid through a mild contracted annulus in the stenotic artery and calculated wall shear stress and impedance. Reddy and Srikanth [19] studied a mathematical model of micro-polar fluid through overlapping tapered stenotic artery in the presence of the catheter with slip velocity. Mekheimer and co-workers contributed deeply towards blood flow through arteries through the articles [20][21][22] and [23].…”

Numerical Simulation of Magnetohydrodynamic Influences on Casson Model for Blood Flow through an Overlapping Stenosed Artery

“…Moreover, the effects of temperature and chemical reactions in the streaming blood through the tapered stenosed artery were studied and a Newtonian model of blood flow through a bifurcated stenosed artery was developed [16]. To gain further understanding of the influences of the overlapping stenosis, different blood models were applied in various studies; For instance, Jeffrey model [17], Casson model [18], couple stress fluids [19], polar fluid model ( [20,21], two-layered model ( [3,9,[22][23][24][25], and Rabinowitsch fluid model [26]. However, all previous researches did not calculate pressure drop and most of them involved velocities and wall shear only.…”

Numerical Simulation of Time-Dependent Non-Newtonian Nanopharmacodynamic Transport Phenomena in a Tapered Overlapping Stenosed Artery

“…Many different constitutive models have been explored with varying degrees of success. In this regard Ikbal et al (2012) applied both a power-law and a viscoelastic Oldroyd-B model to analyse hemodynamics, Ramana Reddy and Srikanth (2015) addressed slip flow of blood through a catheterized overlapping artery using Eringen's micropolar model and the Carreau rheological model was implemented by to investigate the pulsatile flow of blood in a catheterized artery for the case of a mild stenosis. Numerous other models and computational techniques have been implemented in stenotic fluid dynamics and the reader is referred to Chakravarty and Datta (1989) In the above investigations, generally only hydrodynamics has been considered.…”