Blood flow of Carreau fluid in a tapered artery with mixed convection

2014 ◽  
Vol 07 (06) ◽  
pp. 1450068 ◽  
Author(s):  
Noreen Sher Akbar
Keyword(s):  
Mathematical Modeling ◽  
Mass Transfer ◽  
Blood Flow ◽  
Mathematical Formulation ◽  
Shearing Stress ◽  
Carreau Fluid ◽  
Modeling And Analysis ◽  
Tapered Artery ◽  
Impedance Wall ◽  
Parameters Of Interest

This research is concerned with the mathematical modeling and analysis of blood flow in a tapered artery with stenosis. The analysis has been carried out in the presence of heat and mass transfer. Constitutive equation of Carreau fluid has been invoked in the mathematical formulation. The representation of blood flow is considered 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 given due attention. Solutions have been obtained for the velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. Graphical illustrations associated with the tapered arteries namely converging, diverging and non-tapered arteries are examined for different parameters of interest. Streamlines have been plotted and discussed.

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 analysis in tapered stenosed arteries with pseudoplastic characteristics

2014 ◽  
Vol 07 (06) ◽  
pp. 1450065 ◽  
Author(s):  
Noreen Sher Akbar ◽  
S. Nadeem
Keyword(s):  
Blood Flow ◽  
Flow Analysis ◽  
Flow Characteristics ◽  
Shearing Stress ◽  
Tapered Artery ◽  
Impedance Wall ◽  
Flow Through ◽  
Blood Flow Analysis ◽  
Parameters Of Interest ◽  
Perturbation Solutions

In this paper, the blood flow through a tapered artery with a stenosis by considering axially non-symmetric but radially symmetric mild stenosis on blood flow characteristics is analyzed, assuming the flow is steady and blood is treated as Williamson fluid. Perturbation 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.

HEAT AND MASS TRANSFER EFFECTS ON CARREAU FLUID MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS

2014 ◽  
Vol 07 (01) ◽  
pp. 1450004 ◽  
Author(s):  
NOREEN SHER AKBAR
Keyword(s):  
Blood Flow ◽  
Fluid Model ◽  
Significant Feature ◽  
Shearing Stress ◽  
Carreau Fluid ◽  
Transfer Effects ◽  
Tapered Artery ◽  
Impedance Wall ◽  
Different Types ◽  
Flow Through

In the current critique, we deliberate the blood flow through narrowing vein with a stenosis in the manifestation of heat and mass transmission. The non-Newtonian flora of blood in small veins are examined mathematically by demonstrating the blood as Carreau fluid. The illustration for the blood flow is debated through an axially irregular but outward regular stenosis. Regularity in the dissemination of the fortification clipping stress and resistive impedance and their evolution with the emerging stenosis is a new significant feature of our investigation. Analytical solutions have been appraised for "velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat". The graphical consequences of different types of tapering arteries (i.e. "converging tapering, diverging tapering, non-tapered artery") have been studied for dissimilar constraints of attention. Rivulet shapes have been strategized for different parameters at the culmination of the article.

Metallic nanoparticles analysis for the blood flow in tapered stenosed arteries: Application in nanomedicines

2015 ◽  
Vol 09 (01) ◽  
pp. 1650002 ◽  
Author(s):  
Noreen Sher Akbar
Keyword(s):  
Blood Flow ◽  
Metallic Nanoparticles ◽  
Base Fluid ◽  
Flow Model ◽  
Pure Water ◽  
Shearing Stress ◽  
Tapered Artery ◽  
Impedance Wall ◽  
Different Types ◽  
Parameters Of Interest

Blood flow model is recycled to study the influence of magnetic field and nanoparticles in tapered stenosed arteries. The metallic nanoparticles for the blood flow with water as base fluid are not explored so far. 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 types of tapered arteries (i.e. converging tapering, diverging tapering, non-tapered artery) have been examined for different parameters of interest for pure water and Copper water ( Cu -water).

scholarly journals Influence of mixed convection on blood flow of Jeffrey fluid through a tapered stenosed artery

2013 ◽  
Vol 17 (2) ◽  
pp. 533-546 ◽  
Author(s):  
Noreen Akbar ◽  
T. Hayat ◽  
S. Nadeem ◽  
Awatif Hendi
Keyword(s):  
Blood Flow ◽  
Jeffrey Fluid ◽  
Series Solutions ◽  
Shearing Stress ◽  
Governing Equations ◽  
Cylindrical Coordinates ◽  
Tapered Artery ◽  
Stenosed Artery ◽  
Impedance Wall ◽  
Flow Through

Effect of heat and mass transfer on the blood flow through a tapered artery with stenosis is examined assuming blood as Jeffrey fluid. The governing equations have been modelled in cylindrical coordinates. Series solutions are constructed for the velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. Attention has been mainly focused to the analysis of embedded parameters in converging, diverging and non-tapered situations.

Mixed convection analysis for blood flow through arteries on Williamson fluid model

2015 ◽  
Vol 08 (04) ◽  
pp. 1550045 ◽  
Author(s):  
Noreen Sher Akbar
Keyword(s):  
Blood Flow ◽  
Mixed Convection ◽  
Fluid Model ◽  
Flow Characteristics ◽  
Williamson Fluid ◽  
Tapered Artery ◽  
Impedance Wall ◽  
Different Types ◽  
Flow Through ◽  
Perturbation Solutions

In this paper, the blood flow through a tapered artery with a stenosis by considering axially non-symmetric but radially symmetric mild stenosis on blood flow characteristics is analyzed, assuming the flow is steady and blood is treated as Williamson fluid. The effects of mixed convection heat and mass transfer are also carried out. Perturbation solutions have been calculated for velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. The graphical results of different types of tapered arteries (i.e. converging tapering, diverging tapering, non-tapered artery) have been examined for different parameters of interest. Streamlines have been plotted at the end of the paper.

A HYDROMAGNETIC MATHEMATICAL MODEL FOR BLOOD FLOW OF CARREAU FLUID

2014 ◽  
Vol 07 (01) ◽  
pp. 1450010 ◽  
Author(s):  
NAJMA SALEEM ◽  
T. HAYAT ◽  
A. ALSAEDI
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Blood Flow ◽  
Series Solution ◽  
Flow Model ◽  
Carreau Fluid ◽  
Modeling Analysis ◽  
Flow Through ◽  
Velocity Pressure ◽  
Quantities Of Interest

This paper constructs a mathematical model for blood flow through an artery with mild stenosis. Constitutive equations for Carreau fluid are employed in the mathematical modeling. Analysis has been carried out in the presence of constant magnetic field. Symmetric and asymmetric shapes of stenosis are taken. Governing flow model is computed for the series solution. The flow quantities of interest, for instance, axial velocity, pressure gradient, pressure drop, impedance and shear stress at the walls of stenotic artery are described for various pertinent parameters entering into the problem.

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