Particulate suspension model for blood flow under external body acceleration

Area of Science:

• Biomedical Engineering
• Fluid Dynamics
• Mathematical Modeling

Background:

• Understanding blood flow dynamics is crucial for cardiovascular health.
• External forces like body acceleration can significantly impact physiological processes.
• Blood's complex rheology, as a two-phase fluid, necessitates sophisticated modeling.

Purpose of the Study:

• To develop a mathematical model analyzing the impact of periodic body acceleration on blood flow.
• To investigate the influence of blood cell concentration on these flow dynamics.
• To provide graphical representations of key hemodynamic parameters.

Main Methods:

• A two-phase Newtonian fluid model was used to represent blood (cells in plasma).
• Coupled differential equations governing particle-fluid suspension flow were solved analytically.
• Laplace transforms technique was employed for the exact solution.
• Computational analysis was performed to display the effects of acceleration and concentration.

Main Results:

• Periodic body acceleration was shown to influence blood flow parameters in the aorta and arterioles.
• Blood cell concentration was identified as a key factor affecting flow characteristics.
• Graphical data illustrated the impact on velocity, flow rate, acceleration, and shear rates.

Conclusions:

• The developed mathematical model accurately predicts the effects of external acceleration on blood flow.
• Findings highlight the importance of considering both external forces and blood rheology in cardiovascular studies.
• This research provides a foundation for further investigation into biomechanical responses to acceleration.