Non-Newtonian flow patterns associated with an arterial stenosis

Area of Science:

• Biomedical Engineering
• Fluid Dynamics
• Computational Biology

Background:

• Understanding blood flow dynamics is crucial for diagnosing and treating cardiovascular diseases.
• Traditional Newtonian models simplify blood rheology, potentially misrepresenting complex flow behaviors, especially in pathological conditions.

Purpose of the Study:

• To introduce and utilize a non-Newtonian constitutive equation for blood flow analysis.
• To investigate the impact of non-Newtonian properties on blood flow parameters in straight and stenotic tubes.
• To compare the stability of non-Newtonian blood flow with Newtonian flow in stenotic conditions.

Main Methods:

• Development of a non-Newtonian constitutive equation for blood.
• Numerical simulation of blood flow in straight and stenotic tube geometries.
• Analysis of key hemodynamic parameters: velocity profiles, flow rate, pressure gradient, and wall shear stress.

Main Results:

• Non-Newtonian blood flow exhibits a larger pressure gradient and higher wall shear stress than Newtonian flow at equivalent flow rates.
• Significant differences in velocity profiles were observed, particularly within stenotic (constricted) regions.
• Non-Newtonian flow in stenotic tubes demonstrated enhanced stability compared to its Newtonian counterpart.

Conclusions:

• The non-Newtonian model provides a more accurate representation of blood flow, especially under stenotic conditions.
• Differences in pressure gradient, wall shear stress, and velocity profiles highlight the importance of rheological properties.
• The increased stability of non-Newtonian stenotic flow suggests implications for understanding disease progression and treatment.