Scientific breakdown for physiological blood flow inside a tube with multi-thrombosis

Area of Science:

• Biomedical Engineering
• Fluid Dynamics
• Mathematical Modeling

Background:

• Blood flow in tubes can be significantly obstructed by multiple thromboses.
• Non-Newtonian fluid models are crucial for accurately representing blood flow dynamics.
• Catheter intervention can alter flow patterns in constricted vessels.

Purpose of the Study:

• To mathematically investigate blood flow within a tube containing multiple thromboses.
• To analyze the impact of a catheter on blood flow in such conditions.
• To model the non-Newtonian blood flow using the Jeffrey fluid model, incorporating viscous dissipation.

Main Methods:

• Developed a mathematical model for non-Newtonian blood flow (Jeffrey fluid).
• Incorporated the effect of viscous dissipation into the energy equation.
• Obtained an exact analytical solution using Mathematica software.
• Analyzed graphical outcomes, including streamline and wall shear stress plots.

Main Results:

• Streamline graphs visually demonstrate the restriction caused by multi-thromboses of increasing heights.
• Wall shear stress graphs exhibit a sinusoidally advancing wave with varying amplitude due to multi-thrombosis.
• Viscous dissipation was identified as the primary source of heat generation, surpassing molecular conduction.

Conclusions:

• The study provides an exact solution for blood flow with multi-thromboses under Jeffrey fluid assumptions.
• Catheter use can revamp restricted blood flow, with detailed flow characteristics visualized.
• Viscous dissipation plays a critical role in the thermal behavior of blood flow in thrombosed vessels.