Study of Creeping Flow of Jeffrey Fluid Through a Narrow Permeable Slit With Uniform Reabsorption

2020 ◽  
Vol 143 (2) ◽  
Author(s):  
Hira Mehboob ◽  
K. Maqbool ◽  
A. M. Siddiqui ◽  
Hameed Ullah
Keyword(s):  
Blood Flow ◽  
Stream Function ◽  
Stress Component ◽  
Maximum Velocity ◽  
Creeping Flow ◽  
Velocity Shear ◽  
Renal Physiology ◽  
Jeffrey Fluid ◽  
Narrow Slit ◽  
Flow Through

Abstract This research explores the creeping flow of a Jeffrey fluid through a narrow permeable slit with an application of blood flow through a planer hemodialyzer. The fluid motion of Jeffrey fluid in a two-dimensional conduit with nonhomogeneous boundary conditions due to constant reabsorption on the wall is a complicated problem. The viscous effect of Jeffrey fluid in a cross-sectional area of a narrow slit is computed with the help of continuity and momentum equation. The stress component, velocity profile, stream function, and pressure gradient show the behavior of creeping flow of Jeffrey fluid in a narrow slit. To find the explicit expression of velocity, pressure, stream function, and flux, recursive (Langlois) approach is adopted. Maximum velocity, shear stress, leakage flux, and fractional absorption on the wall are also calculated in this research. The mathematical results of this research are very helpful to study the blood flow through planer hemodialyzer; therefore, this theoretical model has significant importance in the field of renal physiology.

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.

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.

scholarly journals Hartmann and Reynolds Numbers Effects in the Newtonian Blood Flow of a Bifurcated Artery with an Overlapping Stenosis

MATEMATIKA ◽  
2019 ◽  
Vol 35 (2) ◽  
pp. 213-227
Author(s):  
Norliza Mohd Zain ◽  
Zuhaila Ismail
Keyword(s):  
Blood Flow ◽  
Fluid Model ◽  
Maximum Velocity ◽  
Reynolds Numbers ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Arterial Lumen ◽  
Uniform External Magnetic Field ◽  
Flow Through ◽  
Stabilization Technique

Abstract Blood flow through a bifurcated artery with the presence of an overlapping stenosis located at parent’s arterial lumen under the action of a uniform external magnetic field is studied in this paper. Blood is treated as an electrically conducting fluid which exhibits the Magnetohydrodynamics principle and it is characterized by a Newtonian fluid model. The governing equations are discretized using a stabilization technique of finite element known as Galerkin least-squares. The maximum velocity and pressure drop evaluated in this present study are compared with the results found in previous literature and COMSOL Multiphysics. The solutions found in a satisfactory agreement, thus verify the source code is working properly. The effects of dimensionless parameters of Hartmann and Reynolds numbers in the fluid’s velocity and pressure are examined in details with further scientific discussions.

A Non-Newtonian Fluid Flow Model for the Slip Condition on Blood Flow through a Stenosed Artery using Power-law Fluid

2018 ◽  
Vol 9 (7) ◽  
pp. 871-879
Author(s):  
Rajesh Shrivastava ◽  
R. S. Chandel ◽  
Ajay Kumar ◽  
Keerty Shrivastava and Sanjeet Kumar
Keyword(s):  
Blood Flow ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Power Law ◽  
Flow Model ◽  
Slip Condition ◽  
Power Law Fluid ◽  
Stenosed Artery ◽  
Flow Through
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