scholarly journals Mathematical Modeling on Two Phase Hepatic Systolic Blood Flow through arteries due to Hepatitis A

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


2017 ◽  
Vol 21 (suppl. 3) ◽  
pp. 863-874
Author(s):  
Djordje Novkovic ◽  
Jela Burazer ◽  
Aleksandar Cocic

Paper gives a review of the most important results of turbulence research achieved by the Laboratory for Thermal Engineering and Energy at the Vinca Insitute of Nuclear Sciences. Paper presents detailed overview of the history of the scientific research provided in the laboratory, from the beginning in the mid-60s to today, pointing out the main reasons initiating the investigations in this field. After the first period, which was mainly devoted to the research of the structure of the turbulence, since the beginning of the 80s, research is mainly oriented to the flows at high temperatures including chemical reactions and to the development and improvement of differential mathematical models as a modern and very efficient tool in the technological development. This research significantly contributed to the development of pulverized coal burners, plasma-chemical reactors, and optimization of pulverized coal fired boilers operating parameters and prediction of the greenhouse gases emissions. Most recent period includes experimental and numerical studies of the coherent structures in turbulent fluid jets, mathematical modeling of various turbulent thermal flow processes including two-phase turbulent flow in the multiphase heat exchangers and mathematical modeling of the atmospheric boundary layer.


2013 ◽  
Vol 10 (1) ◽  
pp. 1-9
Author(s):  
Amit Medhavi

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.


2008 ◽  
Vol 08 (01) ◽  
pp. 27-32 ◽  
Author(s):  
V. K. VERMA ◽  
M. P. SINGH ◽  
V. K. KATIYAR

In the present study, blood flow in a stenosed tube is modeled. Blood is assumed to be represented by couple stress fluid. The growth projects into the lumen of the artery and blood flow is disturbed; thus, a potential coupling develops between the growth and the blood flow through the artery. An analysis of the effect of an axially symmetric growth into the lumen of a tube of constant cross-section through which a Newtonian fluid is steadily flowing is presented. The importance of the effect of slip velocity in stenosed tube is highlighted.


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