Effect of chemical reaction on Jeffrey fluid model of blood flow through tapered artery with thermo-diffusion and diffuso-thermal gradients

2018 ◽  
Author(s):  
Bhupendra K. Sharma ◽  
Madhu Sharma ◽  
R. K. Gaur
Keyword(s):  
Blood Flow ◽  
Chemical Reaction ◽  
Fluid Model ◽  
Jeffrey Fluid ◽  
Thermal Gradients ◽  
Tapered Artery ◽  
Flow Through

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.

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.

Power law fluid model for blood flow through a tapered artery with a stenosis

2011 ◽  
Vol 217 (17) ◽  
pp. 7108-7116 ◽  
Author(s):  
S. Nadeem ◽  
Noreen Sher Akbar ◽  
Awatif A. Hendi ◽  
T. Hayat
Keyword(s):  
Blood Flow ◽  
Power Law ◽  
Fluid Model ◽  
Power Law Fluid ◽  
Tapered Artery ◽  
Flow Through
Sign in / Sign up

Export Citation Format

Share Document