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Two-layered blood flow in stenosed tubes for different diseases
1Department of Mathematical Sciences, University of Wisconsin-Milwaukee 53201.
Biorheology
|January 1, 1988
Summary
This study models blood flow in narrowed arteries using a two-fluid approach, revealing how conditions like polycythemia and sickle cell disease impact flow resistance and shear stress.
Area of Science:
- Biomedical Engineering
- Fluid Dynamics
- Hematology
Background:
- Blood flow dynamics are complex, particularly in diseased states like stenosis.
- Understanding how blood composition affects flow is crucial for diagnosing and treating vascular diseases.
Purpose of the Study:
- To develop and analyze a two-fluid model for blood flow through stenosed tubes.
- To investigate the impact of various blood disorders on hemodynamic parameters.
Main Methods:
- A two-fluid model was employed, treating red blood cell suspension as a polar fluid core and plasma as a Newtonian fluid periphery.
- Steady, laminar, incompressible flow was assumed.
- Flow variables, resistance, and shear stress were computed for normal and diseased blood (polycythemia, plasma cell dyscrasias, Hb SS disease) under varying stenosis conditions.
Main Results:
- Calculations were performed for normal blood and specific hematological conditions.
- Flow resistance was determined for different stenosis lengths and heights.
- Shear stress distribution was analyzed along the axial distance for varying stenosis heights.
- The influence of particle size to tube diameter ratios on blood flow in disease was discussed.
Conclusions:
- The two-fluid model provides insights into blood flow alterations in stenosed vessels.
- Hematological conditions significantly affect flow resistance and shear stress patterns.
- Size effects play a role in the hemodynamics of blood diseases.