Suspension model blood flow through an inclined tube with an axially non-symmetrical stenosis

Abstract

The flow of blood in an inclined artery with an axially non-symmetrical but radially symmetrical mild stenosis has been presented in this study. To account for the slip at stenotic wall, hematocrit and inclination of the artery, blood has been represented by a particle-fluid suspension. The expression for the flow characteristics, namely, the impedance (resistance to flow), the wall shear stress and the shear stress at the throat of the stenosis have been derived and represented graphically with respect to different flow parameters. The impedance increases with the hematocrit and stenosis size but decreases with slip at wall and angle of inclination of the artery. The shear stress at the maximum stenosis height increases with the inclination of the artery but possess the characteristics similar to that of impedance with respect to other parameters. As an application, theoretical values of effective viscosity computed with the help of the present analysis are compared with experimental results and found that they are in reasonable agreement for low hematocrit values in small blood carrying vessels.

Effect of slip on pulsatile flow of blood in a tube with an overlapping mild stenosis

“…where ( ) R z denotes the radius of the arterial segment in the stenotic region, 0 R is the constant radius of the artery in the non-stenotic region, 0 L denotes the length of the stenosis, 0 d indicates its location and  is the height of the stenosis [1]. It has been reported that the radial velocity being negligibly small, can be neglected for a low Reynolds number in case of a tube embedded with a mild stenosis [3,[27][28][29][30]…”

A Balloon Model Examination with Impulsion of Cu-Nanoparticles as Drug Agent through Stenosed Tapered Elastic Artery

“…Theoretical models with arteries carrying blood that are cited above were considered to being horizontal however it is well known that in numerous investigation all vessels in physiological systems are not horizontal because some have inclination to the axis. Chakraborty et al (2011) explored the mathematical model of an inclined artery by considering radially symmetric stenosis. They discussed the slip at stenotic wall, hematocrit and inclination of the artery.…”

Variable-viscosity thermal hemodynamic slip flow conveying nanoparticles through a permeable-walled composite stenosed artery

“…Back et al [10] measured the pressure distributions through a hollow vascular axisymmetric replica of a segment of the left circumflex human coronary artery with the mildly atherosclerotic diffuse disease. Chakraborty et al [11] studied blood flow through an inclined mild stenosis artery with slip present at the stenotic wall and blood analyzed as a particle-fluid suspension. Owida et al [12] suggested vascular grafts that are small in diameter as an initiating factor for the progress of wall thickening along the suture line, observing that they tend to occlude rapidly.…”