Mathematical modeling of blood flow

Author(s):  
Md. Shoaibur Rahman ◽  
Md. Aynal Haque
Author(s):  
Julia Arciero ◽  
Lucia Carichino ◽  
Simone Cassani ◽  
Giovanna Guidoboni

2019 ◽  
Vol 30 (4) ◽  
pp. 364-377
Author(s):  
T. R. Zhaleev ◽  
V. A. Kubyshkin ◽  
S. I. Mukhin ◽  
A. F. Rubina ◽  
A. B. Khrulenko

2014 ◽  
Vol 07 (06) ◽  
pp. 1450068 ◽  
Author(s):  
Noreen Sher Akbar

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.


Biorheology ◽  
1995 ◽  
Vol 32 (2-3) ◽  
pp. 167-168
Author(s):  
A POPEL ◽  
B DAS

2011 ◽  
Vol 04 (02) ◽  
pp. 207-225 ◽  
Author(s):  
J. C. MISRA ◽  
A. SINHA ◽  
G. C. SHIT

In this paper, a mathematical model has been developed for studying blood flow through a porous vessel with a pair of stenoses under the action of an externally applied magnetic field. Blood flowing through the artery is considered to be Newtonian. This model is consistent with the principles of ferro-hydrodynamics and magnetohydrodynamics. Expressions for the velocity profile, volumetric flow rate, wall shear stress and pressure gradient have been derived analytically under the purview of the model. The above said quantities are computed for a specific set of values of the different parameters involved in the model analysis. This serves as an illustration of the validity of the mathematical model developed here. The results estimated on the basis of the computation are presented graphically. The obtained results for different values of the parameters involved in the problem under consideration, show that the flow is appreciably influenced by the presence of magnetic field and the rise in the hematocrit level.


2016 ◽  
Vol 12 (05) ◽  
pp. 80-88
Author(s):  
J. P. Singh ◽  
A. K. Agrawal ◽  
V. Upadhyay ◽  
P. N. Pandey

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