scholarly journals Accounting for Tube Hematocrit in Modeling of Blood Flow in Cerebral Capillary Networks

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Nikolai D. Botkin ◽  
Andrey E. Kovtanyuk ◽  
Varvara L. Turova ◽  
Irina N. Sidorenko ◽  
Renée Lampe
Keyword(s):  
Finite Element ◽  
Blood Flow ◽  
Numerical Simulations ◽  
Hydraulic Resistance ◽  
Analytic Formula ◽  
Finite Element Simulations ◽  
Hematocrit Level ◽  
Capillary Networks ◽  
Cerebral Capillary ◽  
Flow Through

The aim of this paper consists in the derivation of an analytic formula for the hydraulic resistance of capillaries, taking into account the tube hematocrit level. The consistency of the derived formula is verified using Finite Element simulations. Such an effective formula allows for assigning resistances, depending on the hematocrit level, to the edges of networks modeling biological capillary systems, which extends our earlier models of blood flow through large capillary networks. Numerical simulations conducted for large capillary networks with random topologies demonstrate the importance of accounting for the hematocrit level for obtaining consistent results.

MATHEMATICAL MODELING OF BLOOD FLOW IN A POROUS VESSEL HAVING DOUBLE STENOSES IN THE PRESENCE OF AN EXTERNAL MAGNETIC FIELD

2011 ◽  
Vol 04 (02) ◽  
pp. 207-225 ◽  
Author(s):  
J. C. MISRA ◽  
A. SINHA ◽  
G. C. SHIT
Keyword(s):  
Mathematical Modeling ◽  
Magnetic Field ◽  
Mathematical Model ◽  
Blood Flow ◽  
Shear Stress ◽  
External Magnetic Field ◽  
Volumetric Flow Rate ◽  
Hematocrit Level ◽  
Flow Through ◽  
The Mathematical Model

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.

Distribution of Blood Flow in Partially Closed Cerebral Capillary Networks

1984 ◽  
pp. 1-12
Author(s):  
Antal G. Hudetz ◽  
Karl A. Conger ◽  
G. Arisztid ◽  
B. Kovach ◽  
James H. Halsey ◽  
...  
Keyword(s):  
Blood Flow ◽  
Capillary Networks ◽  
Cerebral Capillary

Numerical Simulations of Topologically Interlocked Materials Coupling DEM Methods and FEM Calculations: Comparison with Indentation Experiments

2009 ◽  
Vol 1188 ◽  
Author(s):  
Charles Brugger ◽  
Marc C. Fivel ◽  
Yves Bréchet
Keyword(s):  
Surface Roughness ◽  
Finite Element ◽  
Numerical Modeling ◽  
Discrete Element Method ◽  
Numerical Simulations ◽  
Constitutive Equations ◽  
Discrete Element ◽  
Finite Element Simulations ◽  
Compression Stress ◽  
Numerical Tool

AbstractPlanar assemblies of interlocked cubic blocs have been tested in indentation. Experiments are performed on blocs made of plaster. Influence of key parameters such as the surface roughness, the compression stress and the number of blocs are investigated. A numerical modeling is then proposed based on discrete element method. Each bloc is represented by its centre coordinates. Constitutive equations obtained by finite element simulations are introduced to model the contact between the blocs. The numerical tool is then applied to the case of indentation loading. It is found that the model reproduces all the experimental tendencies.

scholarly journals The numerical simulation of FOPS and ROPS tests using LS-DYNA

Mechanika ◽  
2019 ◽  
Vol 25 (5) ◽  
pp. 383-390
Author(s):  
Grzegorz Kokot ◽  
Witold Ogierman
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Numerical Simulations ◽  
Design Process ◽  
Numerical Models ◽  
Finite Element Simulations ◽  
Working Environment ◽  
International Code ◽  
Protective Structure ◽  
Discrete Finite Element

The paper presents design process and numerical simulations of safety tests of the operator's protective structure of earth-moving machinery. It is connected with international code requirements according to design the protective structure of machines in the case of working environment with a danger of falling objects or situation of rolling-over. The discrete finite element numerical models and results of numerical simulation of codes required tests are presented. All finite element simulations were done using LS-DYNA software.

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