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

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.

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Blood flow analysis in tapered stenosed arteries with pseudoplastic characteristics

International Journal of Biomathematics ◽

10.1142/s179352451450065x ◽

2014 ◽

Vol 07 (06) ◽

pp. 1450065 ◽

Cited By ~ 6

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.

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

International Journal of Biomathematics ◽

10.1142/s1793524514500041 ◽

2014 ◽

Vol 07 (01) ◽

pp. 1450004 ◽

Cited By ~ 14

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.

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

International Journal of Biomathematics ◽

10.1142/s1793524515500643 ◽

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.

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