MECHANICS OF BIOLOGICAL BLOOD FLOW ANALYSIS THROUGH CURVED ARTERY WITH STENOSIS

2016 ◽  
Vol 16 (03) ◽  
pp. 1650024 ◽  
Author(s):  
S. NADEEM ◽  
SHAGUFTA IJAZ
Keyword(s):  
Blood Flow ◽  
Velocity Profile ◽  
Pressure Gradient ◽  
Fluid Model ◽  
Flow Analysis ◽  
Euler Method ◽  
Flow Parameters ◽  
Curved Artery ◽  
Viscous Fluid Model ◽  
Flow Through

The viscous fluid model is considered in this article for the study of blood flow through an axis-symmetric stenosis with the effect of three distinct types of arteries i.e., diverging tapering arteries, converging tapering arteries and nontapered arteries. The Cauchy–Euler method has been used for the solution to velocity profile, resistance impedance to flow and the pressure gradient. The characteristics of viscous blood flow on velocity profile, impedance resistance to flow and pressure gradient have been discussed by plotting the graphs of various flow parameters and finally it is found that stenosis dominantes the curvature of curved artery.

INFLUENCE OF HEAT AND CHEMICAL REACTIONS ON HYPERBOLIC TANGENT FLUID MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS

2012 ◽  
Vol 43 (1) ◽  
pp. 69-94 ◽  
Author(s):  
Noreen Sher Akbar ◽  
Sohail Nadeem ◽  
Mohamed Ali
Keyword(s):  
Blood Flow ◽  
Chemical Reactions ◽  
Fluid Model ◽  
Hyperbolic Tangent ◽  
Tapered Artery ◽  
Flow Through

scholarly journals Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110316
Author(s):  
Salman Akhtar ◽  
Luthais B McCash ◽  
Sohail Nadeem ◽  
Salman Saleem ◽  
Alibek Issakhov
Keyword(s):  
Blood Flow ◽  
Flow Problem ◽  
Fluid Model ◽  
Casson Fluid ◽  
Viscous Effects ◽  
Heating Effects ◽  
Casson Fluid Model ◽  
Flow Through ◽  
Mathematical Equations ◽  
Mathematica Software

The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as [Formula: see text]. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter [Formula: see text] and flow rate [Formula: see text]. The trapping declines in size with incrementing [Formula: see text], for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

Comments on “A two-fluid model for blood flow through small diameter tubes”

Biorheology ◽  
1980 ◽  
Vol 17 (1-2) ◽  
pp. 205-206 ◽  
Author(s):  
Yves Nubar
Keyword(s):  
Blood Flow ◽  
Fluid Model ◽  
Small Diameter ◽  
Flow Through ◽  
Two Fluid Model ◽  
Two Fluid

A Theoretical Description of Blood Flow Through the Mitral Orifice

1989 ◽  
Vol 111 (2) ◽  
pp. 141-146 ◽  
Author(s):  
D. M. Bakalyar ◽  
A. M. Hauser ◽  
G. C. Timmis
Keyword(s):  
Blood Flow ◽  
Velocity Profile ◽  
Theoretical Description ◽  
Doppler Velocity ◽  
Comprehensive Model ◽  
Orifice Area ◽  
Ventricular Mechanics ◽  
Straight Line ◽  
Mitral Orifice ◽  
Flow Through

A nonlinear differential equation describing the Doppler velocity profile for blood flow through the mitral valve has been derived. This equation is based on fluid dynamics and a simple, but comprehensive model of atrial and ventricular mechanics. A numerical solution to the equation is described and provides excellent agreement with Doppler velocity curves obtained clinically. One important result of the theory is that in patients with mitral stenosis, the slope of the clinically observed straight-line descent of the velocity profile is proportional to the mitral orifice area and inversely proportional to the atrioventricular compliance.

Mathematical analysis of Phan-Thien–Tanner fluid model for blood in arteries

2015 ◽  
Vol 08 (05) ◽  
pp. 1550064
Author(s):  
Noreen Sher Akbar ◽  
S. Nadeem
Keyword(s):  
Blood Flow ◽  
Shear Stress ◽  
Wall Shear Stress ◽  
Fluid Model ◽  
Shearing Stress ◽  
Small Arteries ◽  
Tapered Artery ◽  
Impedance Wall ◽  
Flow Through ◽  
Parameters Of Interest

In the present paper, we have studied the blood flow through tapered artery with a stenosis. The non-Newtonian nature of blood in small arteries is analyzed mathematically by considering the blood as Phan-Thien–Tanner fluid. The representation for the blood flow is through an axially non-symmetrical but radially symmetric stenosis. Symmetry of the distribution of the wall shearing stress and resistive impedance and their growth with the developing stenosis is another important feature of our analysis. Exact solutions have been evaluated for velocity, resistance impedance, wall shear stress and shearing stress at the stenosis throat. The graphical results of different type of tapered arteries (i.e. converging tapering, diverging tapering, non-tapered artery) have been examined for different parameters of interest.

BLOOD FLOW THROUGH A CURVED ARTERY

2005 ◽  
Author(s):  
G. PONTRELLI ◽  
A. TATONE
Keyword(s):  
Blood Flow ◽  
Curved Artery ◽  
Flow Through
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