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.

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.

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.

scholarly journals Numerical Simulation of Magnetohydrodynamic Influences on Casson Model for Blood Flow through an Overlapping Stenosed Artery

2021 ◽  
pp. 1016-1024
Author(s):  
Ahmed Bakheet ◽  
Esam A. Alnussairy
Keyword(s):  
Blood Flow ◽  
Flow Characteristics ◽  
Correction Method ◽  
Casson Fluid ◽  
Governing Equations ◽  
Finite Difference Technique ◽  
Stenosed Artery ◽  
Flow Phenomena ◽  
Flow Through ◽  
Unsteady Blood Flow

Magnetohydrodynamic (MHD) effects of unsteady blood flow on Casson fluid through an artery with overlapping stenosis were investigated. The nonlinear governing equations accompanied by the appropriate boundary conditions were discretized and solved based on a finite difference technique, using the pressure correction method with MAC algorithm. Moreover, blood flow characteristics, such as the velocity profile, pressure drop, wall shear stress, and patterns of streamlines, are presented graphically and inspected thoroughly for understanding the blood flow phenomena in the stenosed artery.

scholarly journals A Macroscopic Two-Phase Blood Flow Through a Stenosed Artery with Permeable Wall

2013 ◽  
Vol 10 (1) ◽  
pp. 1-9
Author(s):  
Amit Medhavi
Keyword(s):  
Blood Flow ◽  
Flow Characteristics ◽  
Shearing Stress ◽  
Critical Height ◽  
Two Phase ◽  
Wall Shear Stress Distribution ◽  
Mechanical Study ◽  
Stenosed Artery ◽  
Flow Through ◽  
Flowing Blood

The present paper concerns with the fluid mechanical study on the effects of the permeability of the wall through an overlapping stenosis in an artery assuming that the flowing blood is represented by a macroscopic two-phase model. The expressions for the blood flow characteristics, the impedance, the wall shear stress distribution in the stenotic region, shearing stress at the stenosis throats and at the stenosis critical height have been derived. Results for the effects of permeability as well as of hematocrit on these blood flow characteristics are shown graphically and discussed briefly.

JEFFREY FLUID MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS

2011 ◽  
Vol 11 (03) ◽  
pp. 529-545 ◽  
Author(s):  
NOREEN SHER AKBAR ◽  
S. NADEEM ◽  
MOHAMED ALI
Keyword(s):  
Blood Flow ◽  
Newtonian Fluid ◽  
Fluid Model ◽  
Time Derivative ◽  
Jeffrey Fluid ◽  
Retardation Time ◽  
Tapered Artery ◽  
Convective Derivative ◽  
Flow Through ◽  
Two Parameters

In this article, we have studied a non-Newtonian fluid model for blood flow through a tapered artery with a stenosis by assuming blood as Jeffrey fluid. The main purpose of our study was to follow the idea of Mekheimer and El Kot (2008), for Jeffrey fluid model, mean to study Jeffrey fluid model for blood flow through a tapered artery with a stenosis, Jeffrey fluid model is a non-Newtonian fluid model in which we consider convective derivative instead of time derivative. It is capable of describing the phenomena of relaxation and retardation time. The Jeffrey fluid has two parameters, the relaxation time λ1 and retardation time [Formula: see text]. Perturbation method is used to solve the resulting equations. The effects of non-Newtonian nature of blood on velocity profile, wall shear stress, shearing stress at the stenosis throat, and impedance of the artery are discussed. The results for Newtonian fluid are obtained as special case from this model.

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.

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).

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