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Shewaferaw S. Shibeshi, William E. Collins
Correlation of Hemorheology Parameter Hematocrit with Hemodynamic Factors and Arterial Diseases
Appl. Rheol. 20:6 (2010) 64092 (7 pages)
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Blood rheology and hemodynamics models show positive correlation between hematocrit and hemodynamic factors that
has implication to physiological and arterial disease processes. Blood flow is modeled by the Navier-Stokes equation and its
non-Newtonian property by the Casson equation. Hematocrit dependent parameters in the Casson equation integrate the
hematocrit level in the mathematical model. Then the mathematical model was linearized on a tetrahedral computational
grid using the finite volume method. Results show strong correlation between hematocrit and hemodynamic factors. The
determined hemodynamic factors and their strong correlation with the hematocrit provide explanation how these factors
promote the atherosclerotic process in the right coronary artery at a steady flow and how influence arterial
disease process.
► Cite this publication as follows:
Shibeshi SS, Collins WE: Correlation of Hemorheology Parameter Hematocrit with Hemodynamic Factors and Arterial Diseases, Appl. Rheol. 20 (2010) 64092.
Shewaferaw Shibeshi, William E. Collins
The Rheology of Blood Flow in a Branched Arterial System
Appl. Rheol. 15:6 (2005) 398-405
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Blood flow rheology is a complex phenomenon. Presently there is no universally agreed upon model to represent
the viscous property of blood. However, under the general classification of non-Newtonian models that
simulate blood behavior to different degrees of accuracy, there are many variants. The power law, Casson and
Carreau models are popular non-Newtonian models and affect hemodynamics quantities under many conditions.
In this study, the finite volume method is used to investigate hemodynamics predictions of each of the
models. To implement the finite volume method, the computational fluid dynamics software Fluent 6.1 is used.
In this numerical study the different hemorheological models are found to predict different results of hemodynamics
variables which are known to impact the genesis of atherosclerosis and formation of thrombosis. The
axial velocity magnitude percentage difference of up to 2 % and radial velocity difference up to 90 % is found
at different sections of the T-junction geometry. The size of flow recirculation zones and their associated separation
and reattachment point's locations differ for each model. The wall shear stress also experiences up to
12 % shift in the main tube. A velocity magnitude distribution of the grid cells shows that the Newtonian model
is close dynamically to the Casson model while the power law model resembles the Carreau model.
► Cite this publication as follows:
Shibeshi SS, Collins WE: The Rheology of Blood Flow in a Branched Arterial System, Appl. Rheol. 15 (2005) 398.
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