Slip effects on unsteady non-Newtonian blood flow through an inclined catheterized overlapping stenotic artery
Source abstract
Abstract
Slip effects on unsteady non-Newtonian blood hydro-magnetic flow through an inclined catheterized overlapping stenotic artery are analyzed. The constitutive equation of power law model is employed to simulate the rheological characteristics of the blood. The governing equations giving the flow derived by assuming the flow to be unsteady and two-dimensional. Mild stenosis approximation is employed to obtain the reduced form of the governing equations. Finite difference method is employed to obtain the solution of the non-linear partial differential equation in the presence of slip at the surface. An extensive quantitative analysis is performed for the effects of slip parameter, Hartmann number, cathetered parameter and arterial geometrical parameters of stenosis on the quantities of interest such as axial velocity, flow rate, resistance impedance and wall shear stress. The streamlines for the blood flow through the artery are also included.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nanofluid Flow and Heat Transfer · Rheology and Fluid Dynamics Studies · Fluid Dynamics and Turbulent Flows
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
International Islamic University 1 Department of Mathematics and Statistics, , Islamabad, 44000, Pakistan
PINSTECH 2 Theoretical Physics Division, , P. O. Nilore Islamabad 44000, Pakistan
References (25)
Show source-provided references
1. 1960
2. 1992
3. 1984
4. 2005
5. One of the problem in the measurement of blood pressure by catheterization: Wave reflection at the tip of catheter
6. Flow rate-pressure drop relation in coronary angioplasty: catheter obstruction effect10.1115/1.2795949 ↗
7. Flow of herschel-bulkley fluid through an inclined tube of non-uniform cross-section with multiple stenoses
8. Suspension model blood flow through an inclined tube with an axially non-symmetrical stenosis10.1007/s13367-011-0004-8 ↗
9. Pulsatile MHD flow in an inclined catheterized stenosed artery with slip on the wall10.4236/jbise.2014.74023 ↗
10. Suspension model for blood flow through a tapering catheterized inclined artery with asymmetric stenosis
11. 1989
12. Engineering Science and Technology: An International Journal · 2015 · 18 · 30910.1016/j.jestch.2014.12.006 ↗
13. Hydromagnetic Flow and Heat Transfer of a Jeffrey Fluid over an Oscillatory Stretching Surface
14. J. Abstract Appl. Analys. · 2015 · ID 946350
15. Hydromagnetic Flow and Heat Transfer over a Porous Oscillating Stretching Surface in a Viscoelastic Fluid with Porous Medium
16. AIP Advances. · 2015 · 5 · 12712510.1063/1.4938551 ↗
17. Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface10.1016/j.ijnonlinmec.2008.04.009 ↗
18. Unsteady response of non-Newtonian blood flow through a stenosed artery in magnetic field10.1016/j.cam.2008.11.010 ↗
19. A critical review on blood flow in large arteries; relevance to blood rheology, viscosity models, and physiologic conditions, Korea-Australia
20. Unsteady magnetohydrodynamic blood flow In a porous-saturated overlapping stenotic artery: numerical modeling10.1142/S0219519416500494 ↗
21. Effects of unsteadiness and non-Newtonian rheology on blood flow through a tapered time-variant stenotic artery10.1063/1.4916043 ↗
22. A nonlinear analysis of pulsatile flow in arteries10.1017/S0022112072001971 ↗
23. Unsteady non-Newtonian blood flow through a tapered overlapping stenosed catheterized vessel10.1016/j.mbs.2015.08.018 ↗
24. 2000 · 67208
25. An unsteady analysis of non-Newtonian blood through tapered arteries with a stenosis10.1016/j.ijnonlinmec.2004.07.007 ↗