Simulation of the Second Grade Fluid Model for Blood Flow through a Tapered Artery with a Stenosis

2010 ◽  
Vol 27 (6) ◽  
pp. 068701 ◽  
Author(s):  
S Nadeem ◽  
Noreen Sher Akbar
Keyword(s):  
Blood Flow ◽  
Fluid Model ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Tapered Artery ◽  
Grade Fluid ◽  
Flow Through

scholarly journals Concentric ballooned catheterization to the fractional non-newtonian hybrid nano blood flow through a stenosed aneurysmal artery with heat transfer

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Obaid Ullah Mehmood ◽  
Sehrish Bibi ◽  
Dzuliana F. Jamil ◽  
Salah Uddin ◽  
Rozaini Roslan ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Blood Flow ◽  
Fluid Model ◽  
Flow Characteristics ◽  
Second Grade ◽  
Governing Equations ◽  
Arterial Segment ◽  
Grade Fluid ◽  
Flow Through ◽  
The Impact

AbstractThe current work analyzes the effects of concentric ballooned catheterization and heat transfer on the hybrid nano blood flow through diseased arterial segment having both stenosis and aneurysm along its boundary. A fractional second-grade fluid model is considered which describes the non-Newtonian characteristics of the blood. Governing equations are linearized under mild stenosis and mild aneurysm assumptions. Precise articulations for various important flow characteristics such as heat transfer, hemodynamic velocity, wall shear stress, and resistance impedance are attained. Graphical portrayals for the impact of the significant parameters on the flow attributes have been devised. The streamlines of blood flow have been examined as well. The present finding is useful for drug conveyance system and biomedicines.

scholarly journals The Effect of Boundary Slip on the Transient Pulsatile Flow of a Modified Second-Grade Fluid

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
N. Khajohnsaksumeth ◽  
B. Wiwatanapataphee ◽  
Y. H. Wu
Keyword(s):  
Newtonian Fluid ◽  
Numerical Solutions ◽  
Fluid Model ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Boundary Slip ◽  
Fluid Behavior ◽  
Grade Fluid ◽  
Complete Set ◽  
Flow Through

We investigate the effect of boundary slip on the transient pulsatile fluid flow through a vessel with body acceleration. The Fahraeus-Lindqvist effect, expressing the fluid behavior near the wall by the Newtonian fluid while in the core by a non-Newtonian fluid, is also taken into account. To describe the non-Newtonian behavior, we use the modified second-grade fluid model in which the viscosity and the normal stresses are represented in terms of the shear rate. The complete set of equations are then established and formulated in a dimensionless form. For a special case of the material parameter, we derive an analytical solution for the problem, while for the general case, we solve the problem numerically. Our subsequent analytical and numerical results show that the slip parameter has a very significant influence on the velocity profile and also on the convergence rate of the numerical solutions.

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

scholarly journals Approximate Solutions of the Model Describing Fluid Flow Using Generalized ρ-Laplace Transform Method and Heat Balance Integral Method

Axioms ◽  
2020 ◽  
Vol 9 (4) ◽  
pp. 123 ◽  
Author(s):  
Mehmet Yavuz ◽  
Ndolane Sene
Keyword(s):  
Heat Balance ◽  
Integral Method ◽  
Fluid Model ◽  
Second Grade ◽  
Physical Analysis ◽  
Second Grade Fluid ◽  
Transform Method ◽  
Heat Balance Integral Method ◽  
Grade Fluid ◽  
The Impact

This paper addresses the solution of the incompressible second-grade fluid models. Fundamental qualitative properties of the solution are primarily studied for proving the adequacy of the physical interpretations of the proposed model. We use the Liouville-Caputo fractional derivative with its generalized version that gives more comprehensive physical results in the analysis and investigations. In this work, both the ρ-Laplace homotopy transform method (ρ-LHTM) and the heat balance integral method (HBIM) are successfully combined to solve the fractional incompressible second-grade fluid differential equations. Numerical simulations and their physical interpretations of the mentioned incompressible second-grade fluid model are ensured to illustrate the main findings. It is also proposed that one can recognize the differences in physical analysis of diffusions such as ballistic diffusion, super diffusion, and subdiffusion cases by considering the impact of the orders ρ and φ.

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